Index: /issm/trunk-jpl/src/m/classes/model/model.m
===================================================================
--- /issm/trunk-jpl/src/m/classes/model/model.m	(revision 13691)
+++ /issm/trunk-jpl/src/m/classes/model/model.m	(revision 13692)
@@ -5,1119 +5,1119 @@
 
 classdef model
-    properties (SetAccess=public) %Model fields
-		 % {{{
-		 %Careful here: no other class should be used as default value this is a bug of matlab
-		 mesh             = 0;
-		 mask             = 0;
-
-		 geometry         = 0;
-		 constants        = 0;
-		 surfaceforcings  = 0;
-		 basalforcings    = 0;
-		 materials        = 0;
-		 friction         = 0;
-		 flowequation     = 0;
-		 timestepping     = 0;
-		 initialization   = 0;
-		 rifts            = 0;
-
-		 debug            = 0;
-		 verbose          = 0;
-		 settings         = 0;
-		 solver           = 0;
-		 cluster          = 0;
-
-		 balancethickness = 0;
-		 diagnostic       = 0;
-		 groundingline    = 0;
-		 hydrology        = 0;
-		 prognostic       = 0;
-		 thermal          = 0;
-		 steadystate      = 0;
-		 transient        = 0;
-
-		 autodiff         = 0;
-		 flaim            = 0;
-		 inversion        = 0;
-		 qmu              = 0;
-
-		 results          = 0;
-		 radaroverlay     = 0;
-		 miscellaneous    = 0;
-		 private          = 0;
-
-		 %}}}
-	 end
-	 methods (Static)
-		 function md = loadobj(md) % {{{
-			 % This function is directly called by matlab when a model object is
-			 % loaded. If the input is a struct it is an old version of model and
-			 % old fields must be recovered (make sure they are in the deprecated
-			 % model properties)
-
-			 if verLessThan('matlab','7.9'),
-				 disp('Warning: your matlab version is old and there is a risk that load does not work correctly');
-				 disp('         if the model is not loaded correctly, rename temporarily loadobj so that matlab does not use it');
-
-				 % This is a Matlab bug: all the fields of md have their default value
-				 % Example of error message:
-				 % Warning: Error loading an object of class 'model':
-				 % Undefined function or method 'exist' for input arguments of type 'cell'
-				 %
-				 % This has been fixed in MATLAB 7.9 (R2009b) and later versions
-			 end
-
-			 if isstruct(md)
-				 disp('Recovering model object from a previous version');
-				 md = structtomodel(model,md);
-			 end
-
-			 %2012 August 4th
-			 if isa(md.materials,'materials'),
-				 disp('Recovering old materials');
-				 if numel(md.materials.rheology_Z)==1 & isnan(md.materials.rheology_Z),
-					 md.materials=matice(md.materials);
-				 else
-					 md.materials=matdamageice(md.materials);
-				 end
-			 end
-
-		 end% }}}
-	 end
-	 methods
-		 function md = model(varargin) % {{{
-
-			 switch nargin
-				 case 0
-					 md=setdefaultparameters(md);
-				 otherwise
-					 error('model constructor error message: 0 of 1 argument only in input.');
-				 end
-		 end
-		 %}}}
-		 function md = checkmessage(md,string) % {{{
-			 if(nargout~=1) error('wrong usage, model must be an output'); end
-			 disp(['model not consistent: ' string]);
-			 md.private.isconsistent=false;
-		 end
-		 %}}}
-		 function md = collapse(md)% {{{
-			 %COLLAPSE - collapses a 3d mesh into a 2d mesh
-			 %
-			 %   This routine collapses a 3d model into a 2d model
-			 %   and collapses all the fileds of the 3d model by
-			 %   taking their depth-averaged values
-			 %
-			 %   Usage:
-			 %      md=collapse(md)
-			 %
-			 %   See also: EXTRUDE, MODELEXTRACT
-
-			 %Check that the model is really a 3d model
-			 if ~md.mesh.dimension==3,
-				 error('collapse error message: only 3d mesh can be collapsed')
-			 end
-
-			 %Start with changing alle the fields from the 3d mesh 
-
-			 %drag is limited to nodes that are on the bedrock.
-			 md.friction.coefficient=project2d(md,md.friction.coefficient,1);
-
-			 %p and q (same deal, except for element that are on the bedrock: )
-			 md.friction.p=project2d(md,md.friction.p,1);
-			 md.friction.q=project2d(md,md.friction.q,1);
-
-			 %observations
-			 if ~isnan(md.inversion.vx_obs), md.inversion.vx_obs=project2d(md,md.inversion.vx_obs,md.mesh.numberoflayers); end;
-			 if ~isnan(md.inversion.vy_obs), md.inversion.vy_obs=project2d(md,md.inversion.vy_obs,md.mesh.numberoflayers); end;
-			 if ~isnan(md.inversion.vel_obs), md.inversion.vel_obs=project2d(md,md.inversion.vel_obs,md.mesh.numberoflayers); end;
-			 if ~isnan(md.inversion.cost_functions_coefficients), md.inversion.cost_functions_coefficients=project2d(md,md.inversion.cost_functions_coefficients,md.mesh.numberoflayers); end;
-			 if numel(md.inversion.min_parameters)>1, md.inversion.min_parameters=project2d(md,md.inversion.min_parameters,md.mesh.numberoflayers); end;
-			 if numel(md.inversion.max_parameters)>1, md.inversion.max_parameters=project2d(md,md.inversion.max_parameters,md.mesh.numberoflayers); end;
-			 if ~isnan(md.surfaceforcings.mass_balance),
-				 md.surfaceforcings.mass_balance=project2d(md,md.surfaceforcings.mass_balance,md.mesh.numberoflayers); 
-			 end;
-			 if ~isnan(md.balancethickness.thickening_rate), md.balancethickness.thickening_rate=project2d(md,md.balancethickness.thickening_rate,md.mesh.numberoflayers); end;
-
-			 %results
-			 if ~isnan(md.initialization.vx),md.initialization.vx=DepthAverage(md,md.initialization.vx);end;
-			 if ~isnan(md.initialization.vy),md.initialization.vy=DepthAverage(md,md.initialization.vy);end;
-			 if ~isnan(md.initialization.vz),md.initialization.vz=DepthAverage(md,md.initialization.vz);end;
-			 if ~isnan(md.initialization.vel),md.initialization.vel=DepthAverage(md,md.initialization.vel);end;
-			 if ~isnan(md.initialization.temperature),md.initialization.temperature=DepthAverage(md,md.initialization.temperature);end;
-
-			 %bedinfo and surface info
-			 md.mesh.elementonbed=ones(md.mesh.numberofelements2d,1);
-			 md.mesh.elementonsurface=ones(md.mesh.numberofelements2d,1);
-			 md.mesh.vertexonbed=ones(md.mesh.numberofvertices2d,1);
-			 md.mesh.vertexonsurface=ones(md.mesh.numberofvertices2d,1);
-
-			 %elementstype
-			 if ~isnan(md.flowequation.element_equation)
-				 md.flowequation.element_equation=project2d(md,md.flowequation.element_equation,1);
-				 md.flowequation.vertex_equation=project2d(md,md.flowequation.vertex_equation,1);
-				 md.flowequation.bordermacayeal=project2d(md,md.flowequation.bordermacayeal,1);
-				 md.flowequation.borderpattyn=project2d(md,md.flowequation.borderpattyn,1);
-				 md.flowequation.borderstokes=project2d(md,md.flowequation.borderstokes,1);
-			 end	
-
-			 %boundary conditions
-			 md.diagnostic.spcvx=project2d(md,md.diagnostic.spcvx,md.mesh.numberoflayers);
-			 md.diagnostic.spcvy=project2d(md,md.diagnostic.spcvy,md.mesh.numberoflayers);
-			 md.diagnostic.spcvz=project2d(md,md.diagnostic.spcvz,md.mesh.numberoflayers);
-			 md.diagnostic.referential=project2d(md,md.diagnostic.referential,md.mesh.numberoflayers);
-			 md.prognostic.spcthickness=project2d(md,md.prognostic.spcthickness,md.mesh.numberoflayers);
-			 md.thermal.spctemperature=project2d(md,md.thermal.spctemperature,md.mesh.numberoflayers);
-
-			 %Extrusion of Neumann BC
-			 if ~isnan(md.diagnostic.icefront),
-				 numberofneumann2d=size(md.diagnostic.icefront,1)/(md.mesh.numberoflayers-1);
-				 md.diagnostic.icefront=[md.diagnostic.icefront(1:numberofneumann2d,1:2) md.diagnostic.icefront(1:numberofneumann2d,5:6)]; %Add two columns on the first layer 
-			 end
-
-			 %materials
-			 md.materials.rheology_B=DepthAverage(md,md.materials.rheology_B);
-			 md.materials.rheology_n=project2d(md,md.materials.rheology_n,1);
-			 if isa(md.materials,'matdamageice')
-				 md.materials.rheology_Z=DepthAverage(md,md.materials.rheology_Z);
-			 end
-
-			 %special for thermal modeling:
-			 md.basalforcings.melting_rate=project2d(md,md.basalforcings.melting_rate,1); 
-			 md.basalforcings.geothermalflux=project2d(md,md.basalforcings.geothermalflux,1); %bedrock only gets geothermal flux
-
-			 %update of connectivity matrix
-			 md.mesh.average_vertex_connectivity=25;
-
-			 %Collapse the mesh
-			 nodes2d=md.mesh.numberofvertices2d;
-			 elements2d=md.mesh.numberofelements2d;
-
-			 %parameters
-			 md.geometry.surface=project2d(md,md.geometry.surface,1);
-			 md.geometry.thickness=project2d(md,md.geometry.thickness,1);
-			 md.geometry.bed=project2d(md,md.geometry.bed,1);
-			 md.geometry.bathymetry=project2d(md,md.geometry.bathymetry,1);
-			 md.mesh.vertexonboundary=project2d(md,md.mesh.vertexonboundary,1);
-			 md.mesh.elementconnectivity=project2d(md,md.mesh.elementconnectivity,1);
-			 md.mask.elementonfloatingice=project2d(md,md.mask.elementonfloatingice,1);
-			 md.mask.vertexonfloatingice=project2d(md,md.mask.vertexonfloatingice,1);
-			 md.mask.elementongroundedice=project2d(md,md.mask.elementongroundedice,1);
-			 md.mask.vertexongroundedice=project2d(md,md.mask.vertexongroundedice,1);
-			 md.mask.elementonwater=project2d(md,md.mask.elementonwater,1);
-			 md.mask.vertexonwater=project2d(md,md.mask.vertexonwater,1);
-
-			 %lat long
-			 if numel(md.mesh.lat) ==md.mesh.numberofvertices,  md.mesh.lat=project2d(md,md.mesh.lat,1); end
-			 if numel(md.mesh.long)==md.mesh.numberofvertices, md.mesh.long=project2d(md,md.mesh.long,1); end
-
-			 %Initialize with the 2d mesh
-			 md.mesh.x=md.mesh.x2d;
-			 md.mesh.y=md.mesh.y2d;
-			 md.mesh.z=zeros(size(md.mesh.x2d));
-			 md.mesh.numberofvertices=md.mesh.numberofvertices2d;
-			 md.mesh.numberofelements=md.mesh.numberofelements2d;
-			 md.mesh.elements=md.mesh.elements2d;
-
-			 %Keep a trace of lower and upper nodes
-			 md.mesh.lowervertex=NaN;
-			 md.mesh.uppervertex=NaN;
-			 md.mesh.lowerelements=NaN;
-			 md.mesh.upperelements=NaN;
-
-			 %Remove old mesh 
-			 md.mesh.x2d=NaN;
-			 md.mesh.y2d=NaN;
-			 md.mesh.elements2d=NaN;
-			 md.mesh.numberofelements2d=md.mesh.numberofelements;
-			 md.mesh.numberofvertices2d=md.mesh.numberofvertices;
-			 md.mesh.numberoflayers=0;
-
-			 %Update mesh type
-			 md.mesh.dimension=2;
-		 end % }}}
-		 function md2 = extract(md,area) % {{{
-			 %extract - extract a model according to an Argus contour or flag list
-			 %
-			 %   This routine extracts a submodel from a bigger model with respect to a given contour
-			 %   md must be followed by the corresponding exp file or flags list
-			 %   It can either be a domain file (argus type, .exp extension), or an array of element flags. 
-			 %   If user wants every element outside the domain to be 
-			 %   extract2d, add '~' to the name of the domain file (ex: '~Pattyn.exp');
-			 %   an empty string '' will be considered as an empty domain
-			 %   a string 'all' will be considered as the entire domain
-			 %   add an argument 0 if you do not want the elements to be checked (faster)
-			 %
-			 %   Usage:
-			 %      md2=extract(md,area);
-			 %
-			 %   Examples:
-			 %      md2=extract(md,'Domain.exp');
-			 %      md2=extract(md,md.mask.elementonfloatingice);
-			 %
-			 %   See also: EXTRUDE, COLLAPSE
-
-			 %copy model
-			 md1=md;
-
-			 %some checks
-			 if ((nargin~=2) | (nargout~=1)),
-				 help extract
-				 error('extract error message: bad usage');
-			 end
-
-			 %get check option
-			 if (nargin==3 & varargin{1}==0),
-				 checkoutline=0;
-			 else
-				 checkoutline=1;
-			 end
-
-			 %get elements that are inside area
-			 flag_elem=FlagElements(md1,area);
-			 if ~any(flag_elem),
-				 error('extracted model is empty');
-			 end
-
-			 %kick out all elements with 3 dirichlets
-			 spc_elem=find(~flag_elem);
-			 spc_node=sort(unique(md1.mesh.elements(spc_elem,:)));
-			 flag=ones(md1.mesh.numberofvertices,1);
-			 flag(spc_node)=0;
-			 pos=find(sum(flag(md1.mesh.elements),2)==0);
-			 flag_elem(pos)=0;
-
-			 %extracted elements and nodes lists
-			 pos_elem=find(flag_elem);
-			 pos_node=sort(unique(md1.mesh.elements(pos_elem,:)));
-
-			 %keep track of some fields
-			 numberofvertices1=md1.mesh.numberofvertices;
-			 numberofelements1=md1.mesh.numberofelements;
-			 numberofvertices2=length(pos_node);
-			 numberofelements2=length(pos_elem);
-			 flag_node=zeros(numberofvertices1,1);
-			 flag_node(pos_node)=1;
-
-			 %Create Pelem and Pnode (transform old nodes in new nodes and same thing for the elements)
-			 Pelem=zeros(numberofelements1,1);
-			 Pelem(pos_elem)=[1:numberofelements2]';
-			 Pnode=zeros(numberofvertices1,1);
-			 Pnode(pos_node)=[1:numberofvertices2]';
-
-			 %renumber the elements (some node won't exist anymore)
-			 elements_1=md1.mesh.elements;
-			 elements_2=elements_1(pos_elem,:);
-			 elements_2(:,1)=Pnode(elements_2(:,1));
-			 elements_2(:,2)=Pnode(elements_2(:,2));
-			 elements_2(:,3)=Pnode(elements_2(:,3));
-			 if md1.mesh.dimension==3,
-				 elements_2(:,4)=Pnode(elements_2(:,4));
-				 elements_2(:,5)=Pnode(elements_2(:,5));
-				 elements_2(:,6)=Pnode(elements_2(:,6));
-			 end
-
-			 %OK, now create the new model !
-
-			 %take every fields from model
-			 md2=md1;
-
-			 %automatically modify fields
-
-			 %loop over model fields
-			 model_fields=fields(md1);
-			 for i=1:length(model_fields),
-				 %get field
-				 field=md1.(model_fields{i});
-				 fieldsize=size(field);
-				 if isobject(field), %recursive call
-					 object_fields=fields(md1.(model_fields{i}));
-					 for j=1:length(object_fields),
-						 %get field
-						 field=md1.(model_fields{i}).(object_fields{j});
-						 fieldsize=size(field);
-						 %size = number of nodes * n
-						 if fieldsize(1)==numberofvertices1
-							 md2.(model_fields{i}).(object_fields{j})=field(pos_node,:);
-						 elseif (fieldsize(1)==numberofvertices1+1)
-							 md2.(model_fields{i}).(object_fields{j})=[field(pos_node,:); field(end,:)];
-							 %size = number of elements * n
-						 elseif fieldsize(1)==numberofelements1
-							 md2.(model_fields{i}).(object_fields{j})=field(pos_elem,:);
-						 end
-					 end
-				 else
-					 %size = number of nodes * n
-					 if fieldsize(1)==numberofvertices1
-						 md2.(model_fields{i})=field(pos_node,:);
-					 elseif (fieldsize(1)==numberofvertices1+1)
-						 md2.(model_fields{i})=[field(pos_node,:); field(end,:)];
-						 %size = number of elements * n
-					 elseif fieldsize(1)==numberofelements1
-						 md2.(model_fields{i})=field(pos_elem,:);
-					 end
-				 end
-			 end
-
-			 %modify some specific fields
-
-			 %Mesh
-			 md2.mesh.numberofelements=numberofelements2;
-			 md2.mesh.numberofvertices=numberofvertices2;
-			 md2.mesh.elements=elements_2;
-
-			 %mesh.uppervertex mesh.lowervertex
-			 if md1.mesh.dimension==3
-				 md2.mesh.uppervertex=md1.mesh.uppervertex(pos_node);
-				 pos=find(~isnan(md2.mesh.uppervertex));
-				 md2.mesh.uppervertex(pos)=Pnode(md2.mesh.uppervertex(pos));
-
-				 md2.mesh.lowervertex=md1.mesh.lowervertex(pos_node);
-				 pos=find(~isnan(md2.mesh.lowervertex));
-				 md2.mesh.lowervertex(pos)=Pnode(md2.mesh.lowervertex(pos));
-
-				 md2.mesh.upperelements=md1.mesh.upperelements(pos_elem);
-				 pos=find(~isnan(md2.mesh.upperelements));
-				 md2.mesh.upperelements(pos)=Pelem(md2.mesh.upperelements(pos));
-
-				 md2.mesh.lowerelements=md1.mesh.lowerelements(pos_elem);
-				 pos=find(~isnan(md2.mesh.lowerelements));
-				 md2.mesh.lowerelements(pos)=Pelem(md2.mesh.lowerelements(pos));
-			 end
-
-			 %Initial 2d mesh 
-			 if md1.mesh.dimension==3
-				 flag_elem_2d=flag_elem(1:md1.mesh.numberofelements2d);
-				 pos_elem_2d=find(flag_elem_2d);
-				 flag_node_2d=flag_node(1:md1.mesh.numberofvertices2d);
-				 pos_node_2d=find(flag_node_2d);
-
-				 md2.mesh.numberofelements2d=length(pos_elem_2d);
-				 md2.mesh.numberofvertices2d=length(pos_node_2d);
-				 md2.mesh.elements2d=md1.mesh.elements2d(pos_elem_2d,:);
-				 md2.mesh.elements2d(:,1)=Pnode(md2.mesh.elements2d(:,1));
-				 md2.mesh.elements2d(:,2)=Pnode(md2.mesh.elements2d(:,2));
-				 md2.mesh.elements2d(:,3)=Pnode(md2.mesh.elements2d(:,3));
-
-				 md2.mesh.x2d=md1.mesh.x(pos_node_2d);
-				 md2.mesh.y2d=md1.mesh.y(pos_node_2d);
-			 end
-
-			 %Edges
-			 if size(md2.mesh.edges,2)>1, %do not use ~isnan because there are some NaNs...
-				 %renumber first two columns
-				 pos=find(md2.mesh.edges(:,4)~=-1);
-				 md2.mesh.edges(:  ,1)=Pnode(md2.mesh.edges(:,1)); 
-				 md2.mesh.edges(:  ,2)=Pnode(md2.mesh.edges(:,2)); 
-				 md2.mesh.edges(:  ,3)=Pelem(md2.mesh.edges(:,3));
-				 md2.mesh.edges(pos,4)=Pelem(md2.mesh.edges(pos,4));
-				 %remove edges when the 2 vertices are not in the domain.
-				 md2.mesh.edges=md2.mesh.edges(find(md2.mesh.edges(:,1) & md2.mesh.edges(:,2)),:);
-				 %Replace all zeros by -1 in the last two columns;
-				 pos=find(md2.mesh.edges(:,3)==0);
-				 md2.mesh.edges(pos,3)=-1;
-				 pos=find(md2.mesh.edges(:,4)==0);
-				 md2.mesh.edges(pos,4)=-1;
-				 %Invert -1 on the third column with last column (Also invert first two columns!!)
-				 pos=find(md2.mesh.edges(:,3)==-1);
-				 md2.mesh.edges(pos,3)=md2.mesh.edges(pos,4);
-				 md2.mesh.edges(pos,4)=-1;
-				 values=md2.mesh.edges(pos,2);
-				 md2.mesh.edges(pos,2)=md2.mesh.edges(pos,1);
-				 md2.mesh.edges(pos,1)=values;
-				 %Finally remove edges that do not belong to any element
-				 pos=find(md2.mesh.edges(:,3)==-1 & md2.mesh.edges(:,4)==-1);
-				 md2.mesh.edges(pos,:)=[];
-			 end
-
-			 %Penalties
-			 if ~isnan(md2.diagnostic.vertex_pairing),
-				 for i=1:size(md1.diagnostic.vertex_pairing,1);
-					 md2.diagnostic.vertex_pairing(i,:)=Pnode(md1.diagnostic.vertex_pairing(i,:));
-				 end
-				 md2.diagnostic.vertex_pairing=md2.diagnostic.vertex_pairing(find(md2.diagnostic.vertex_pairing(:,1)),:);
-			 end
-			 if ~isnan(md2.prognostic.vertex_pairing),
-				 for i=1:size(md1.prognostic.vertex_pairing,1);
-					 md2.prognostic.vertex_pairing(i,:)=Pnode(md1.prognostic.vertex_pairing(i,:));
-				 end
-				 md2.prognostic.vertex_pairing=md2.prognostic.vertex_pairing(find(md2.prognostic.vertex_pairing(:,1)),:);
-			 end
-
-			 %recreate segments
-			 if md1.mesh.dimension==2
-				 md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
-				 md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
-				 md2.mesh.segments=contourenvelope(md2);
-				 md2.mesh.vertexonboundary=zeros(numberofvertices2,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
-			 else
-				 %First do the connectivity for the contourenvelope in 2d
-				 md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements2d,md2.mesh.numberofvertices2d);
-				 md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements2d,md2.mesh.vertexconnectivity);
-				 md2.mesh.segments=contourenvelope(md2);
-				 md2.mesh.vertexonboundary=zeros(numberofvertices2/md2.mesh.numberoflayers,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
-				 md2.mesh.vertexonboundary=repmat(md2.mesh.vertexonboundary,md2.mesh.numberoflayers,1);
-				 %Then do it for 3d as usual
-				 md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
-				 md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
-			 end
-
-			 %Boundary conditions: Dirichlets on new boundary
-			 %Catch the elements that have not been extracted
-			 orphans_elem=find(~flag_elem);
-			 orphans_node=unique(md1.mesh.elements(orphans_elem,:))';
-			 %Figure out which node are on the boundary between md2 and md1
-			 nodestoflag1=intersect(orphans_node,pos_node);
-			 nodestoflag2=Pnode(nodestoflag1);
-			 if numel(md1.diagnostic.spcvx)>1 & numel(md1.diagnostic.spcvy)>2 & numel(md1.diagnostic.spcvz)>2,
-				 if numel(md1.inversion.vx_obs)>1 & numel(md1.inversion.vy_obs)>1
-					 md2.diagnostic.spcvx(nodestoflag2)=md2.inversion.vx_obs(nodestoflag2); 
-					 md2.diagnostic.spcvy(nodestoflag2)=md2.inversion.vy_obs(nodestoflag2);
-				 else
-					 md2.diagnostic.spcvx(nodestoflag2)=NaN;
-					 md2.diagnostic.spcvy(nodestoflag2)=NaN;
-					 disp(' ')
-					 disp('!! extract warning: spc values should be checked !!')
-					 disp(' ')
-				 end
-				 %put 0 for vz
-				 md2.diagnostic.spcvz(nodestoflag2)=0;
-			 end
-			 if ~isnan(md1.thermal.spctemperature),
-				 md2.thermal.spctemperature(nodestoflag2,1)=1;
-			 end
-
-			 %Diagnostic
-			 if ~isnan(md2.diagnostic.icefront)
-				 md2.diagnostic.icefront(:,1)=Pnode(md1.diagnostic.icefront(:,1)); 
-				 md2.diagnostic.icefront(:,2)=Pnode(md1.diagnostic.icefront(:,2)); 
-				 md2.diagnostic.icefront(:,end-1)=Pelem(md1.diagnostic.icefront(:,end-1));
-				 if md1.mesh.dimension==3
-					 md2.diagnostic.icefront(:,3)=Pnode(md1.diagnostic.icefront(:,3)); 
-					 md2.diagnostic.icefront(:,4)=Pnode(md1.diagnostic.icefront(:,4)); 
-				 end
-				 md2.diagnostic.icefront=md2.diagnostic.icefront(find(md2.diagnostic.icefront(:,1) & md2.diagnostic.icefront(:,2) & md2.diagnostic.icefront(:,end)),:);
-			 end
-
-			 %Results fields
-			 if isstruct(md1.results),
-				 md2.results=struct();
-				 solutionfields=fields(md1.results);
-				 for i=1:length(solutionfields),
-					 %get subfields
-					 solutionsubfields=fields(md1.results.(solutionfields{i}));
-					 for j=1:length(solutionsubfields),
-						 field=md1.results.(solutionfields{i}).(solutionsubfields{j});
-						 if length(field)==numberofvertices1,
-							 md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_node);
-						 elseif length(field)==numberofelements1,
-							 md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_elem);
-						 else
-							 md2.results.(solutionfields{i}).(solutionsubfields{j})=field;
-						 end
-					 end
-				 end
-			 end
-
-			 %Keep track of pos_node and pos_elem
-			 md2.mesh.extractedvertices=pos_node;
-			 md2.mesh.extractedelements=pos_elem;
-		 end % }}}
-		 function md = extrude(md,varargin) % {{{
-			 %EXTRUDE - vertically extrude a 2d mesh
-			 %
-			 %   vertically extrude a 2d mesh and create corresponding 3d mesh.
-			 %   The vertical distribution can:
-			 %    - follow a polynomial law
-			 %    - follow two polynomial laws, one for the lower part and one for the upper part of the mesh
-			 %    - be discribed by a list of coefficients (between 0 and 1)
-			 %   
-			 %
-			 %   Usage:
-			 %      md=extrude(md,numlayers,extrusionexponent);
-			 %      md=extrude(md,numlayers,lowerexponent,upperexponent);
-			 %      md=extrude(md,listofcoefficients);
-			 %
-			 %   Example:
-			 %      md=extrude(md,8,3);
-			 %      md=extrude(md,8,3,2);
-			 %      md=extrude(md,[0 0.2 0.5 0.7 0.9 0.95 1]);
-			 %
-			 %   See also: MODELEXTRACT, COLLAPSE
-
-			 %some checks on list of arguments
-			 if ((nargin>4) | (nargin<2) | (nargout~=1)),
-				 help extrude;
-				 error('extrude error message');
-			 end
-
-			 %Extrude the mesh
-			 if nargin==2, %list of coefficients
-				 clist=varargin{1};
-				 if any(clist<0) | any(clist>1),
-					 error('extrusioncoefficients must be between 0 and 1');
-				 end
-				 extrusionlist=sort(unique([clist(:);0;1]));
-				 numlayers=length(extrusionlist);
-			 elseif nargin==3, %one polynomial law
-				 if varargin{2}<=0,
-					 help extrude;
-					 error('extrusionexponent must be >=0');
-				 end
-				 numlayers=varargin{1};
-				 extrusionlist=((0:1:numlayers-1)/(numlayers-1)).^varargin{2};
-			 elseif nargin==4, %two polynomial laws
-				 numlayers=varargin{1};
-				 lowerexp=varargin{2};
-				 upperexp=varargin{3};
-
-				 if varargin{2}<=0 | varargin{3}<=0,
-					 help extrude;
-					 error('lower and upper extrusionexponents must be >=0');
-				 end
-
-				 lowerextrusionlist=[(0:2/(numlayers-1):1).^lowerexp]/2;
-				 upperextrusionlist=[(0:2/(numlayers-1):1).^upperexp]/2;
-				 extrusionlist=sort(unique([lowerextrusionlist 1-upperextrusionlist]));
-
-			 end
-
-			 if numlayers<2,
-				 error('number of layers should be at least 2');
-			 end
-			 if md.mesh.dimension==3,
-				 error('Cannot extrude a 3d mesh (extrude cannot be called more than once)');
-			 end
-
-			 %Initialize with the 2d mesh
-			 x3d=[]; 
-			 y3d=[];
-			 z3d=[];  %the lower node is on the bed
-			 thickness3d=md.geometry.thickness; %thickness and bed for these nodes
-			 bed3d=md.geometry.bed;
-
-			 %Create the new layers
-			 for i=1:numlayers,
-				 x3d=[x3d; md.mesh.x]; 
-				 y3d=[y3d; md.mesh.y];
-				 %nodes are distributed between bed and surface accordingly to the given exponent
-				 z3d=[z3d; bed3d+thickness3d*extrusionlist(i)]; 
-			 end
-			 number_nodes3d=size(x3d,1); %number of 3d nodes for the non extruded part of the mesh
-
-			 %Extrude elements 
-			 elements3d=[];
-			 for i=1:numlayers-1,
-				 elements3d=[elements3d;[md.mesh.elements+(i-1)*md.mesh.numberofvertices md.mesh.elements+i*md.mesh.numberofvertices]]; %Create the elements of the 3d mesh for the non extruded part
-			 end
-			 number_el3d=size(elements3d,1); %number of 3d nodes for the non extruded part of the mesh
-
-			 %Keep a trace of lower and upper nodes
-			 mesh.lowervertex=NaN*ones(number_nodes3d,1);
-			 mesh.uppervertex=NaN*ones(number_nodes3d,1);
-			 mesh.lowervertex(md.mesh.numberofvertices+1:end)=1:(numlayers-1)*md.mesh.numberofvertices;
-			 mesh.uppervertex(1:(numlayers-1)*md.mesh.numberofvertices)=md.mesh.numberofvertices+1:number_nodes3d;
-			 md.mesh.lowervertex=mesh.lowervertex;
-			 md.mesh.uppervertex=mesh.uppervertex;
-
-			 %same for lower and upper elements
-			 mesh.lowerelements=NaN*ones(number_el3d,1);
-			 mesh.upperelements=NaN*ones(number_el3d,1);
-			 mesh.lowerelements(md.mesh.numberofelements+1:end)=1:(numlayers-2)*md.mesh.numberofelements;
-			 mesh.upperelements(1:(numlayers-2)*md.mesh.numberofelements)=md.mesh.numberofelements+1:(numlayers-1)*md.mesh.numberofelements;
-			 md.mesh.lowerelements=mesh.lowerelements;
-			 md.mesh.upperelements=mesh.upperelements;
-
-			 %Save old mesh 
-			 md.mesh.x2d=md.mesh.x;
-			 md.mesh.y2d=md.mesh.y;
-			 md.mesh.elements2d=md.mesh.elements;
-			 md.mesh.numberofelements2d=md.mesh.numberofelements;
-			 md.mesh.numberofvertices2d=md.mesh.numberofvertices;
-
-			 %Update mesh type
-			 md.mesh.dimension=3;
-
-			 %Build global 3d mesh 
-			 md.mesh.elements=elements3d;
-			 md.mesh.x=x3d;
-			 md.mesh.y=y3d;
-			 md.mesh.z=z3d;
-			 md.mesh.numberofelements=number_el3d;
-			 md.mesh.numberofvertices=number_nodes3d;
-			 md.mesh.numberoflayers=numlayers;
-
-			 %Ok, now deal with the other fields from the 2d mesh:
-
-			 %lat long
-			 md.mesh.lat=project3d(md,'vector',md.mesh.lat,'type','node');
-			 md.mesh.long=project3d(md,'vector',md.mesh.long,'type','node');
-
-			 %drag coefficient is limited to nodes that are on the bedrock.
-			 md.friction.coefficient=project3d(md,'vector',md.friction.coefficient,'type','node','layer',1);
-
-			 %p and q (same deal, except for element that are on the bedrock: )
-			 md.friction.p=project3d(md,'vector',md.friction.p,'type','element');
-			 md.friction.q=project3d(md,'vector',md.friction.q,'type','element');
-
-			 %observations
-			 md.inversion.vx_obs=project3d(md,'vector',md.inversion.vx_obs,'type','node');
-			 md.inversion.vy_obs=project3d(md,'vector',md.inversion.vy_obs,'type','node');
-			 md.inversion.vel_obs=project3d(md,'vector',md.inversion.vel_obs,'type','node');
-			 md.surfaceforcings.mass_balance=project3d(md,'vector',md.surfaceforcings.mass_balance,'type','node');
-			 md.surfaceforcings.precipitation=project3d(md,'vector',md.surfaceforcings.precipitation,'type','node');
-			 md.balancethickness.thickening_rate=project3d(md,'vector',md.balancethickness.thickening_rate,'type','node');
-			 md.surfaceforcings.monthlytemperatures=project3d(md,'vector',md.surfaceforcings.monthlytemperatures,'type','node');
-
-			 %results
-			 if ~isnan(md.initialization.vx),md.initialization.vx=project3d(md,'vector',md.initialization.vx,'type','node');end;
-			 if ~isnan(md.initialization.vy),md.initialization.vy=project3d(md,'vector',md.initialization.vy,'type','node');end;
-			 if ~isnan(md.initialization.vz),md.initialization.vz=project3d(md,'vector',md.initialization.vz,'type','node');end;
-			 if ~isnan(md.initialization.vel),md.initialization.vel=project3d(md,'vector',md.initialization.vel,'type','node');end;
-			 if ~isnan(md.initialization.temperature),md.initialization.temperature=project3d(md,'vector',md.initialization.temperature,'type','node');end;
-			 if ~isnan(md.initialization.waterfraction),md.initialization.waterfraction=project3d(md,'vector',md.initialization.waterfraction,'type','node');end;
-
-			 %bedinfo and surface info
-			 md.mesh.elementonbed=project3d(md,'vector',ones(md.mesh.numberofelements2d,1),'type','element','layer',1);
-			 md.mesh.elementonsurface=project3d(md,'vector',ones(md.mesh.numberofelements2d,1),'type','element','layer',md.mesh.numberoflayers-1);
-			 md.mesh.vertexonbed=project3d(md,'vector',ones(md.mesh.numberofvertices2d,1),'type','node','layer',1);
-			 md.mesh.vertexonsurface=project3d(md,'vector',ones(md.mesh.numberofvertices2d,1),'type','node','layer',md.mesh.numberoflayers);
-
-			 %elementstype
-			 if ~isnan(md.flowequation.element_equation)
-				 oldelements_type=md.flowequation.element_equation;
-				 md.flowequation.element_equation=zeros(number_el3d,1);
-				 md.flowequation.element_equation=project3d(md,'vector',oldelements_type,'type','element');
-			 end
-
-			 %verticestype
-			 if ~isnan(md.flowequation.vertex_equation)
-				 oldvertices_type=md.flowequation.vertex_equation;
-				 md.flowequation.vertex_equation=zeros(number_nodes3d,1);
-				 md.flowequation.vertex_equation=project3d(md,'vector',oldvertices_type,'type','node');
-			 end
-			 md.flowequation.bordermacayeal=project3d(md,'vector',md.flowequation.bordermacayeal,'type','node');
-			 md.flowequation.borderpattyn=project3d(md,'vector',md.flowequation.borderpattyn,'type','node');
-			 md.flowequation.borderstokes=project3d(md,'vector',md.flowequation.borderstokes,'type','node');
-
-			 %boundary conditions
-			 md.diagnostic.spcvx=project3d(md,'vector',md.diagnostic.spcvx,'type','node');
-			 md.diagnostic.spcvy=project3d(md,'vector',md.diagnostic.spcvy,'type','node');
-			 md.diagnostic.spcvz=project3d(md,'vector',md.diagnostic.spcvz,'type','node');
-			 md.thermal.spctemperature=project3d(md,'vector',md.thermal.spctemperature,'type','node','layer',md.mesh.numberoflayers,'padding',NaN);
-			 md.prognostic.spcthickness=project3d(md,'vector',md.prognostic.spcthickness,'type','node');
-			 md.balancethickness.spcthickness=project3d(md,'vector',md.balancethickness.spcthickness,'type','node');
-			 md.diagnostic.referential=project3d(md,'vector',md.diagnostic.referential,'type','node');
-
-			 %in 3d, pressureload: [node1 node2 node3 node4 element]
-			 pressureload_layer1=[md.diagnostic.icefront(:,1:2)  md.diagnostic.icefront(:,2)+md.mesh.numberofvertices2d  md.diagnostic.icefront(:,1)+md.mesh.numberofvertices2d  md.diagnostic.icefront(:,3:4)]; %Add two columns on the first layer 
-			 pressureload=[];
-			 for i=1:numlayers-1,
-				 pressureload=[pressureload ;pressureload_layer1(:,1:4)+(i-1)*md.mesh.numberofvertices2d pressureload_layer1(:,5)+(i-1)*md.mesh.numberofelements2d pressureload_layer1(:,6)];
-			 end
-			 md.diagnostic.icefront=pressureload;
-
-			 %connectivity
-			 md.mesh.elementconnectivity=repmat(md.mesh.elementconnectivity,numlayers-1,1);
-			 md.mesh.elementconnectivity(find(md.mesh.elementconnectivity==0))=NaN;
-			 for i=2:numlayers-1,
-				 md.mesh.elementconnectivity((i-1)*md.mesh.numberofelements2d+1:(i)*md.mesh.numberofelements2d,:)...
-					 =md.mesh.elementconnectivity((i-1)*md.mesh.numberofelements2d+1:(i)*md.mesh.numberofelements2d,:)+md.mesh.numberofelements2d;
-			 end
-			 md.mesh.elementconnectivity(find(isnan(md.mesh.elementconnectivity)))=0;
-
-			 %materials
-			 md.materials.rheology_B=project3d(md,'vector',md.materials.rheology_B,'type','node');
-			 md.materials.rheology_n=project3d(md,'vector',md.materials.rheology_n,'type','element');
-			 if isa(md.materials,'matdamageice')
-				 md.materials.rheology_Z=project3d(md,'vector',md.materials.rheology_Z,'type','node');
-			 end
-
-			 %parameters
-			 md.geometry.surface=project3d(md,'vector',md.geometry.surface,'type','node');
-			 md.geometry.thickness=project3d(md,'vector',md.geometry.thickness,'type','node');
-			 md.geometry.hydrostatic_ratio=project3d(md,'vector',md.geometry.hydrostatic_ratio,'type','node');
-			 md.geometry.bed=project3d(md,'vector',md.geometry.bed,'type','node');
-			 md.geometry.bathymetry=project3d(md,'vector',md.geometry.bathymetry,'type','node');
-			 md.mesh.vertexonboundary=project3d(md,'vector',md.mesh.vertexonboundary,'type','node');
-			 md.mask.elementonfloatingice=project3d(md,'vector',md.mask.elementonfloatingice,'type','element');
-			 md.mask.vertexonfloatingice=project3d(md,'vector',md.mask.vertexonfloatingice,'type','node');
-			 md.mask.elementongroundedice=project3d(md,'vector',md.mask.elementongroundedice,'type','element');
-			 md.mask.vertexongroundedice=project3d(md,'vector',md.mask.vertexongroundedice,'type','node');
-			 md.mask.elementonwater=project3d(md,'vector',md.mask.elementonwater,'type','element');
-			 md.mask.vertexonwater=project3d(md,'vector',md.mask.vertexonwater,'type','node');
-			 if ~isnan(md.inversion.cost_functions_coefficients),md.inversion.cost_functions_coefficients=project3d(md,'vector',md.inversion.cost_functions_coefficients,'type','node');end;
-			 if ~isnan(md.inversion.min_parameters),md.inversion.min_parameters=project3d(md,'vector',md.inversion.min_parameters,'type','node');end;
-			 if ~isnan(md.inversion.max_parameters),md.inversion.max_parameters=project3d(md,'vector',md.inversion.max_parameters,'type','node');end;
-			 if ~isnan(md.qmu.partition),md.qmu.partition=project3d(md,'vector',md.qmu.partition','type','node');end
-			 if(md.surfaceforcings.isdelta18o),md.surfaceforcings.temperatures_lgm=project3d(md,'vector',md.surfaceforcings.temperatures_lgm,'type','node');end
-			 if(md.surfaceforcings.isdelta18o),md.surfaceforcings.temperatures_presentday=project3d(md,'vector',md.surfaceforcings.temperatures_presentday,'type','node');end
-			 if(md.surfaceforcings.isdelta18o),md.surfaceforcings.precipitations_presentday=project3d(md,'vector',md.surfaceforcings.precipitations_presentday,'type','node');end
-
-			 %Put lithostatic pressure if there is an existing pressure
-			 if ~isnan(md.initialization.pressure),
-				 md.initialization.pressure=md.constants.g*md.materials.rho_ice*(md.geometry.surface-md.mesh.z);
-			 end
-
-			 %special for thermal modeling:
-			 md.basalforcings.melting_rate=project3d(md,'vector',md.basalforcings.melting_rate,'type','node','layer',1); 
-			 if ~isnan(md.basalforcings.geothermalflux)
-				 md.basalforcings.geothermalflux=project3d(md,'vector',md.basalforcings.geothermalflux,'type','node','layer',1); %bedrock only gets geothermal flux
-			 end
-
-			 %increase connectivity if less than 25:
-			 if md.mesh.average_vertex_connectivity<=25,
-				 md.mesh.average_vertex_connectivity=100;
-			 end
+	properties (SetAccess=public) %Model fields
+		% {{{
+		%Careful here: no other class should be used as default value this is a bug of matlab
+		mesh             = 0;
+		mask             = 0;
+
+		geometry         = 0;
+		constants        = 0;
+		surfaceforcings  = 0;
+		basalforcings    = 0;
+		materials        = 0;
+		friction         = 0;
+		flowequation     = 0;
+		timestepping     = 0;
+		initialization   = 0;
+		rifts            = 0;
+
+		debug            = 0;
+		verbose          = 0;
+		settings         = 0;
+		solver           = 0;
+		cluster          = 0;
+
+		balancethickness = 0;
+		diagnostic       = 0;
+		groundingline    = 0;
+		hydrology        = 0;
+		prognostic       = 0;
+		thermal          = 0;
+		steadystate      = 0;
+		transient        = 0;
+
+		autodiff         = 0;
+		flaim            = 0;
+		inversion        = 0;
+		qmu              = 0;
+
+		results          = 0;
+		radaroverlay     = 0;
+		miscellaneous    = 0;
+		private          = 0;
+
+		%}}}
+	end
+	methods (Static)
+		function md = loadobj(md) % {{{
+			% This function is directly called by matlab when a model object is
+			% loaded. If the input is a struct it is an old version of model and
+			% old fields must be recovered (make sure they are in the deprecated
+			% model properties)
+
+			if verLessThan('matlab','7.9'),
+				disp('Warning: your matlab version is old and there is a risk that load does not work correctly');
+				disp('         if the model is not loaded correctly, rename temporarily loadobj so that matlab does not use it');
+
+				% This is a Matlab bug: all the fields of md have their default value
+				% Example of error message:
+				% Warning: Error loading an object of class 'model':
+				% Undefined function or method 'exist' for input arguments of type 'cell'
+				%
+				% This has been fixed in MATLAB 7.9 (R2009b) and later versions
+			end
+
+			if isstruct(md)
+				disp('Recovering model object from a previous version');
+				md = structtomodel(model,md);
+			end
+
+			%2012 August 4th
+			if isa(md.materials,'materials'),
+				disp('Recovering old materials');
+				if numel(md.materials.rheology_Z)==1 & isnan(md.materials.rheology_Z),
+					md.materials=matice(md.materials);
+				else
+					md.materials=matdamageice(md.materials);
+				end
+			end
+
+		end% }}}
+	end
+	methods
+		function md = model(varargin) % {{{
+
+			switch nargin
+				case 0
+					md=setdefaultparameters(md);
+				otherwise
+					error('model constructor error message: 0 of 1 argument only in input.');
+				end
+		end
+		%}}}
+		function md = checkmessage(md,string) % {{{
+			if(nargout~=1) error('wrong usage, model must be an output'); end
+			disp(['model not consistent: ' string]);
+			md.private.isconsistent=false;
+		end
+		%}}}
+		function md = collapse(md)% {{{
+			%COLLAPSE - collapses a 3d mesh into a 2d mesh
+			%
+			%   This routine collapses a 3d model into a 2d model
+			%   and collapses all the fileds of the 3d model by
+			%   taking their depth-averaged values
+			%
+			%   Usage:
+			%      md=collapse(md)
+			%
+			%   See also: EXTRUDE, MODELEXTRACT
+
+			%Check that the model is really a 3d model
+			if ~md.mesh.dimension==3,
+				error('collapse error message: only 3d mesh can be collapsed')
+			end
+
+			%Start with changing alle the fields from the 3d mesh 
+
+			%drag is limited to nodes that are on the bedrock.
+			md.friction.coefficient=project2d(md,md.friction.coefficient,1);
+
+			%p and q (same deal, except for element that are on the bedrock: )
+			md.friction.p=project2d(md,md.friction.p,1);
+			md.friction.q=project2d(md,md.friction.q,1);
+
+			%observations
+			if ~isnan(md.inversion.vx_obs), md.inversion.vx_obs=project2d(md,md.inversion.vx_obs,md.mesh.numberoflayers); end;
+			if ~isnan(md.inversion.vy_obs), md.inversion.vy_obs=project2d(md,md.inversion.vy_obs,md.mesh.numberoflayers); end;
+			if ~isnan(md.inversion.vel_obs), md.inversion.vel_obs=project2d(md,md.inversion.vel_obs,md.mesh.numberoflayers); end;
+			if ~isnan(md.inversion.cost_functions_coefficients), md.inversion.cost_functions_coefficients=project2d(md,md.inversion.cost_functions_coefficients,md.mesh.numberoflayers); end;
+			if numel(md.inversion.min_parameters)>1, md.inversion.min_parameters=project2d(md,md.inversion.min_parameters,md.mesh.numberoflayers); end;
+			if numel(md.inversion.max_parameters)>1, md.inversion.max_parameters=project2d(md,md.inversion.max_parameters,md.mesh.numberoflayers); end;
+			if ~isnan(md.surfaceforcings.mass_balance),
+				md.surfaceforcings.mass_balance=project2d(md,md.surfaceforcings.mass_balance,md.mesh.numberoflayers); 
+			end;
+			if ~isnan(md.balancethickness.thickening_rate), md.balancethickness.thickening_rate=project2d(md,md.balancethickness.thickening_rate,md.mesh.numberoflayers); end;
+
+			%results
+			if ~isnan(md.initialization.vx),md.initialization.vx=DepthAverage(md,md.initialization.vx);end;
+			if ~isnan(md.initialization.vy),md.initialization.vy=DepthAverage(md,md.initialization.vy);end;
+			if ~isnan(md.initialization.vz),md.initialization.vz=DepthAverage(md,md.initialization.vz);end;
+			if ~isnan(md.initialization.vel),md.initialization.vel=DepthAverage(md,md.initialization.vel);end;
+			if ~isnan(md.initialization.temperature),md.initialization.temperature=DepthAverage(md,md.initialization.temperature);end;
+
+			%bedinfo and surface info
+			md.mesh.elementonbed=ones(md.mesh.numberofelements2d,1);
+			md.mesh.elementonsurface=ones(md.mesh.numberofelements2d,1);
+			md.mesh.vertexonbed=ones(md.mesh.numberofvertices2d,1);
+			md.mesh.vertexonsurface=ones(md.mesh.numberofvertices2d,1);
+
+			%elementstype
+			if ~isnan(md.flowequation.element_equation)
+				md.flowequation.element_equation=project2d(md,md.flowequation.element_equation,1);
+				md.flowequation.vertex_equation=project2d(md,md.flowequation.vertex_equation,1);
+				md.flowequation.bordermacayeal=project2d(md,md.flowequation.bordermacayeal,1);
+				md.flowequation.borderpattyn=project2d(md,md.flowequation.borderpattyn,1);
+				md.flowequation.borderstokes=project2d(md,md.flowequation.borderstokes,1);
+			end	
+
+			%boundary conditions
+			md.diagnostic.spcvx=project2d(md,md.diagnostic.spcvx,md.mesh.numberoflayers);
+			md.diagnostic.spcvy=project2d(md,md.diagnostic.spcvy,md.mesh.numberoflayers);
+			md.diagnostic.spcvz=project2d(md,md.diagnostic.spcvz,md.mesh.numberoflayers);
+			md.diagnostic.referential=project2d(md,md.diagnostic.referential,md.mesh.numberoflayers);
+			md.prognostic.spcthickness=project2d(md,md.prognostic.spcthickness,md.mesh.numberoflayers);
+			md.thermal.spctemperature=project2d(md,md.thermal.spctemperature,md.mesh.numberoflayers);
+
+			%Extrusion of Neumann BC
+			if ~isnan(md.diagnostic.icefront),
+				numberofneumann2d=size(md.diagnostic.icefront,1)/(md.mesh.numberoflayers-1);
+				md.diagnostic.icefront=[md.diagnostic.icefront(1:numberofneumann2d,1:2) md.diagnostic.icefront(1:numberofneumann2d,5:6)]; %Add two columns on the first layer 
+			end
+
+			%materials
+			md.materials.rheology_B=DepthAverage(md,md.materials.rheology_B);
+			md.materials.rheology_n=project2d(md,md.materials.rheology_n,1);
+			if isa(md.materials,'matdamageice')
+				md.materials.rheology_Z=DepthAverage(md,md.materials.rheology_Z);
+			end
+
+			%special for thermal modeling:
+			md.basalforcings.melting_rate=project2d(md,md.basalforcings.melting_rate,1); 
+			md.basalforcings.geothermalflux=project2d(md,md.basalforcings.geothermalflux,1); %bedrock only gets geothermal flux
+
+			%update of connectivity matrix
+			md.mesh.average_vertex_connectivity=25;
+
+			%Collapse the mesh
+			nodes2d=md.mesh.numberofvertices2d;
+			elements2d=md.mesh.numberofelements2d;
+
+			%parameters
+			md.geometry.surface=project2d(md,md.geometry.surface,1);
+			md.geometry.thickness=project2d(md,md.geometry.thickness,1);
+			md.geometry.bed=project2d(md,md.geometry.bed,1);
+			md.geometry.bathymetry=project2d(md,md.geometry.bathymetry,1);
+			md.mesh.vertexonboundary=project2d(md,md.mesh.vertexonboundary,1);
+			md.mesh.elementconnectivity=project2d(md,md.mesh.elementconnectivity,1);
+			md.mask.elementonfloatingice=project2d(md,md.mask.elementonfloatingice,1);
+			md.mask.vertexonfloatingice=project2d(md,md.mask.vertexonfloatingice,1);
+			md.mask.elementongroundedice=project2d(md,md.mask.elementongroundedice,1);
+			md.mask.vertexongroundedice=project2d(md,md.mask.vertexongroundedice,1);
+			md.mask.elementonwater=project2d(md,md.mask.elementonwater,1);
+			md.mask.vertexonwater=project2d(md,md.mask.vertexonwater,1);
+
+			%lat long
+			if numel(md.mesh.lat) ==md.mesh.numberofvertices,  md.mesh.lat=project2d(md,md.mesh.lat,1); end
+			if numel(md.mesh.long)==md.mesh.numberofvertices, md.mesh.long=project2d(md,md.mesh.long,1); end
+
+			%Initialize with the 2d mesh
+			md.mesh.x=md.mesh.x2d;
+			md.mesh.y=md.mesh.y2d;
+			md.mesh.z=zeros(size(md.mesh.x2d));
+			md.mesh.numberofvertices=md.mesh.numberofvertices2d;
+			md.mesh.numberofelements=md.mesh.numberofelements2d;
+			md.mesh.elements=md.mesh.elements2d;
+
+			%Keep a trace of lower and upper nodes
+			md.mesh.lowervertex=NaN;
+			md.mesh.uppervertex=NaN;
+			md.mesh.lowerelements=NaN;
+			md.mesh.upperelements=NaN;
+
+			%Remove old mesh 
+			md.mesh.x2d=NaN;
+			md.mesh.y2d=NaN;
+			md.mesh.elements2d=NaN;
+			md.mesh.numberofelements2d=md.mesh.numberofelements;
+			md.mesh.numberofvertices2d=md.mesh.numberofvertices;
+			md.mesh.numberoflayers=0;
+
+			%Update mesh type
+			md.mesh.dimension=2;
+		end % }}}
+		function md2 = extract(md,area) % {{{
+			%extract - extract a model according to an Argus contour or flag list
+			%
+			%   This routine extracts a submodel from a bigger model with respect to a given contour
+			%   md must be followed by the corresponding exp file or flags list
+			%   It can either be a domain file (argus type, .exp extension), or an array of element flags. 
+			%   If user wants every element outside the domain to be 
+			%   extract2d, add '~' to the name of the domain file (ex: '~Pattyn.exp');
+			%   an empty string '' will be considered as an empty domain
+			%   a string 'all' will be considered as the entire domain
+			%   add an argument 0 if you do not want the elements to be checked (faster)
+			%
+			%   Usage:
+			%      md2=extract(md,area);
+			%
+			%   Examples:
+			%      md2=extract(md,'Domain.exp');
+			%      md2=extract(md,md.mask.elementonfloatingice);
+			%
+			%   See also: EXTRUDE, COLLAPSE
+
+			%copy model
+			md1=md;
+
+			%some checks
+			if ((nargin~=2) | (nargout~=1)),
+				help extract
+				error('extract error message: bad usage');
+			end
+
+			%get check option
+			if (nargin==3 & varargin{1}==0),
+				checkoutline=0;
+			else
+				checkoutline=1;
+			end
+
+			%get elements that are inside area
+			flag_elem=FlagElements(md1,area);
+			if ~any(flag_elem),
+				error('extracted model is empty');
+			end
+
+			%kick out all elements with 3 dirichlets
+			spc_elem=find(~flag_elem);
+			spc_node=sort(unique(md1.mesh.elements(spc_elem,:)));
+			flag=ones(md1.mesh.numberofvertices,1);
+			flag(spc_node)=0;
+			pos=find(sum(flag(md1.mesh.elements),2)==0);
+			flag_elem(pos)=0;
+
+			%extracted elements and nodes lists
+			pos_elem=find(flag_elem);
+			pos_node=sort(unique(md1.mesh.elements(pos_elem,:)));
+
+			%keep track of some fields
+			numberofvertices1=md1.mesh.numberofvertices;
+			numberofelements1=md1.mesh.numberofelements;
+			numberofvertices2=length(pos_node);
+			numberofelements2=length(pos_elem);
+			flag_node=zeros(numberofvertices1,1);
+			flag_node(pos_node)=1;
+
+			%Create Pelem and Pnode (transform old nodes in new nodes and same thing for the elements)
+			Pelem=zeros(numberofelements1,1);
+			Pelem(pos_elem)=[1:numberofelements2]';
+			Pnode=zeros(numberofvertices1,1);
+			Pnode(pos_node)=[1:numberofvertices2]';
+
+			%renumber the elements (some node won't exist anymore)
+			elements_1=md1.mesh.elements;
+			elements_2=elements_1(pos_elem,:);
+			elements_2(:,1)=Pnode(elements_2(:,1));
+			elements_2(:,2)=Pnode(elements_2(:,2));
+			elements_2(:,3)=Pnode(elements_2(:,3));
+			if md1.mesh.dimension==3,
+				elements_2(:,4)=Pnode(elements_2(:,4));
+				elements_2(:,5)=Pnode(elements_2(:,5));
+				elements_2(:,6)=Pnode(elements_2(:,6));
+			end
+
+			%OK, now create the new model !
+
+			%take every fields from model
+			md2=md1;
+
+			%automatically modify fields
+
+			%loop over model fields
+			model_fields=fields(md1);
+			for i=1:length(model_fields),
+				%get field
+				field=md1.(model_fields{i});
+				fieldsize=size(field);
+				if isobject(field), %recursive call
+					object_fields=fields(md1.(model_fields{i}));
+					for j=1:length(object_fields),
+						%get field
+						field=md1.(model_fields{i}).(object_fields{j});
+						fieldsize=size(field);
+						%size = number of nodes * n
+						if fieldsize(1)==numberofvertices1
+							md2.(model_fields{i}).(object_fields{j})=field(pos_node,:);
+						elseif (fieldsize(1)==numberofvertices1+1)
+							md2.(model_fields{i}).(object_fields{j})=[field(pos_node,:); field(end,:)];
+							%size = number of elements * n
+						elseif fieldsize(1)==numberofelements1
+							md2.(model_fields{i}).(object_fields{j})=field(pos_elem,:);
+						end
+					end
+				else
+					%size = number of nodes * n
+					if fieldsize(1)==numberofvertices1
+						md2.(model_fields{i})=field(pos_node,:);
+					elseif (fieldsize(1)==numberofvertices1+1)
+						md2.(model_fields{i})=[field(pos_node,:); field(end,:)];
+						%size = number of elements * n
+					elseif fieldsize(1)==numberofelements1
+						md2.(model_fields{i})=field(pos_elem,:);
+					end
+				end
+			end
+
+			%modify some specific fields
+
+			%Mesh
+			md2.mesh.numberofelements=numberofelements2;
+			md2.mesh.numberofvertices=numberofvertices2;
+			md2.mesh.elements=elements_2;
+
+			%mesh.uppervertex mesh.lowervertex
+			if md1.mesh.dimension==3
+				md2.mesh.uppervertex=md1.mesh.uppervertex(pos_node);
+				pos=find(~isnan(md2.mesh.uppervertex));
+				md2.mesh.uppervertex(pos)=Pnode(md2.mesh.uppervertex(pos));
+
+				md2.mesh.lowervertex=md1.mesh.lowervertex(pos_node);
+				pos=find(~isnan(md2.mesh.lowervertex));
+				md2.mesh.lowervertex(pos)=Pnode(md2.mesh.lowervertex(pos));
+
+				md2.mesh.upperelements=md1.mesh.upperelements(pos_elem);
+				pos=find(~isnan(md2.mesh.upperelements));
+				md2.mesh.upperelements(pos)=Pelem(md2.mesh.upperelements(pos));
+
+				md2.mesh.lowerelements=md1.mesh.lowerelements(pos_elem);
+				pos=find(~isnan(md2.mesh.lowerelements));
+				md2.mesh.lowerelements(pos)=Pelem(md2.mesh.lowerelements(pos));
+			end
+
+			%Initial 2d mesh 
+			if md1.mesh.dimension==3
+				flag_elem_2d=flag_elem(1:md1.mesh.numberofelements2d);
+				pos_elem_2d=find(flag_elem_2d);
+				flag_node_2d=flag_node(1:md1.mesh.numberofvertices2d);
+				pos_node_2d=find(flag_node_2d);
+
+				md2.mesh.numberofelements2d=length(pos_elem_2d);
+				md2.mesh.numberofvertices2d=length(pos_node_2d);
+				md2.mesh.elements2d=md1.mesh.elements2d(pos_elem_2d,:);
+				md2.mesh.elements2d(:,1)=Pnode(md2.mesh.elements2d(:,1));
+				md2.mesh.elements2d(:,2)=Pnode(md2.mesh.elements2d(:,2));
+				md2.mesh.elements2d(:,3)=Pnode(md2.mesh.elements2d(:,3));
+
+				md2.mesh.x2d=md1.mesh.x(pos_node_2d);
+				md2.mesh.y2d=md1.mesh.y(pos_node_2d);
+			end
+
+			%Edges
+			if size(md2.mesh.edges,2)>1, %do not use ~isnan because there are some NaNs...
+				%renumber first two columns
+				pos=find(md2.mesh.edges(:,4)~=-1);
+				md2.mesh.edges(:  ,1)=Pnode(md2.mesh.edges(:,1)); 
+				md2.mesh.edges(:  ,2)=Pnode(md2.mesh.edges(:,2)); 
+				md2.mesh.edges(:  ,3)=Pelem(md2.mesh.edges(:,3));
+				md2.mesh.edges(pos,4)=Pelem(md2.mesh.edges(pos,4));
+				%remove edges when the 2 vertices are not in the domain.
+				md2.mesh.edges=md2.mesh.edges(find(md2.mesh.edges(:,1) & md2.mesh.edges(:,2)),:);
+				%Replace all zeros by -1 in the last two columns;
+				pos=find(md2.mesh.edges(:,3)==0);
+				md2.mesh.edges(pos,3)=-1;
+				pos=find(md2.mesh.edges(:,4)==0);
+				md2.mesh.edges(pos,4)=-1;
+				%Invert -1 on the third column with last column (Also invert first two columns!!)
+				pos=find(md2.mesh.edges(:,3)==-1);
+				md2.mesh.edges(pos,3)=md2.mesh.edges(pos,4);
+				md2.mesh.edges(pos,4)=-1;
+				values=md2.mesh.edges(pos,2);
+				md2.mesh.edges(pos,2)=md2.mesh.edges(pos,1);
+				md2.mesh.edges(pos,1)=values;
+				%Finally remove edges that do not belong to any element
+				pos=find(md2.mesh.edges(:,3)==-1 & md2.mesh.edges(:,4)==-1);
+				md2.mesh.edges(pos,:)=[];
+			end
+
+			%Penalties
+			if ~isnan(md2.diagnostic.vertex_pairing),
+				for i=1:size(md1.diagnostic.vertex_pairing,1);
+					md2.diagnostic.vertex_pairing(i,:)=Pnode(md1.diagnostic.vertex_pairing(i,:));
+				end
+				md2.diagnostic.vertex_pairing=md2.diagnostic.vertex_pairing(find(md2.diagnostic.vertex_pairing(:,1)),:);
+			end
+			if ~isnan(md2.prognostic.vertex_pairing),
+				for i=1:size(md1.prognostic.vertex_pairing,1);
+					md2.prognostic.vertex_pairing(i,:)=Pnode(md1.prognostic.vertex_pairing(i,:));
+				end
+				md2.prognostic.vertex_pairing=md2.prognostic.vertex_pairing(find(md2.prognostic.vertex_pairing(:,1)),:);
+			end
+
+			%recreate segments
+			if md1.mesh.dimension==2
+				md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
+				md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
+				md2.mesh.segments=contourenvelope(md2);
+				md2.mesh.vertexonboundary=zeros(numberofvertices2,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
+			else
+				%First do the connectivity for the contourenvelope in 2d
+				md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements2d,md2.mesh.numberofvertices2d);
+				md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements2d,md2.mesh.vertexconnectivity);
+				md2.mesh.segments=contourenvelope(md2);
+				md2.mesh.vertexonboundary=zeros(numberofvertices2/md2.mesh.numberoflayers,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
+				md2.mesh.vertexonboundary=repmat(md2.mesh.vertexonboundary,md2.mesh.numberoflayers,1);
+				%Then do it for 3d as usual
+				md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
+				md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
+			end
+
+			%Boundary conditions: Dirichlets on new boundary
+			%Catch the elements that have not been extracted
+			orphans_elem=find(~flag_elem);
+			orphans_node=unique(md1.mesh.elements(orphans_elem,:))';
+			%Figure out which node are on the boundary between md2 and md1
+			nodestoflag1=intersect(orphans_node,pos_node);
+			nodestoflag2=Pnode(nodestoflag1);
+			if numel(md1.diagnostic.spcvx)>1 & numel(md1.diagnostic.spcvy)>2 & numel(md1.diagnostic.spcvz)>2,
+				if numel(md1.inversion.vx_obs)>1 & numel(md1.inversion.vy_obs)>1
+					md2.diagnostic.spcvx(nodestoflag2)=md2.inversion.vx_obs(nodestoflag2); 
+					md2.diagnostic.spcvy(nodestoflag2)=md2.inversion.vy_obs(nodestoflag2);
+				else
+					md2.diagnostic.spcvx(nodestoflag2)=NaN;
+					md2.diagnostic.spcvy(nodestoflag2)=NaN;
+					disp(' ')
+					disp('!! extract warning: spc values should be checked !!')
+					disp(' ')
+				end
+				%put 0 for vz
+				md2.diagnostic.spcvz(nodestoflag2)=0;
+			end
+			if ~isnan(md1.thermal.spctemperature),
+				md2.thermal.spctemperature(nodestoflag2,1)=1;
+			end
+
+			%Diagnostic
+			if ~isnan(md2.diagnostic.icefront)
+				md2.diagnostic.icefront(:,1)=Pnode(md1.diagnostic.icefront(:,1)); 
+				md2.diagnostic.icefront(:,2)=Pnode(md1.diagnostic.icefront(:,2)); 
+				md2.diagnostic.icefront(:,end-1)=Pelem(md1.diagnostic.icefront(:,end-1));
+				if md1.mesh.dimension==3
+					md2.diagnostic.icefront(:,3)=Pnode(md1.diagnostic.icefront(:,3)); 
+					md2.diagnostic.icefront(:,4)=Pnode(md1.diagnostic.icefront(:,4)); 
+				end
+				md2.diagnostic.icefront=md2.diagnostic.icefront(find(md2.diagnostic.icefront(:,1) & md2.diagnostic.icefront(:,2) & md2.diagnostic.icefront(:,end)),:);
+			end
+
+			%Results fields
+			if isstruct(md1.results),
+				md2.results=struct();
+				solutionfields=fields(md1.results);
+				for i=1:length(solutionfields),
+					%get subfields
+					solutionsubfields=fields(md1.results.(solutionfields{i}));
+					for j=1:length(solutionsubfields),
+						field=md1.results.(solutionfields{i}).(solutionsubfields{j});
+						if length(field)==numberofvertices1,
+							md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_node);
+						elseif length(field)==numberofelements1,
+							md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_elem);
+						else
+							md2.results.(solutionfields{i}).(solutionsubfields{j})=field;
+						end
+					end
+				end
+			end
+
+			%Keep track of pos_node and pos_elem
+			md2.mesh.extractedvertices=pos_node;
+			md2.mesh.extractedelements=pos_elem;
+		end % }}}
+		function md = extrude(md,varargin) % {{{
+			%EXTRUDE - vertically extrude a 2d mesh
+			%
+			%   vertically extrude a 2d mesh and create corresponding 3d mesh.
+			%   The vertical distribution can:
+			%    - follow a polynomial law
+			%    - follow two polynomial laws, one for the lower part and one for the upper part of the mesh
+			%    - be discribed by a list of coefficients (between 0 and 1)
+			%   
+			%
+			%   Usage:
+			%      md=extrude(md,numlayers,extrusionexponent);
+			%      md=extrude(md,numlayers,lowerexponent,upperexponent);
+			%      md=extrude(md,listofcoefficients);
+			%
+			%   Example:
+			%      md=extrude(md,8,3);
+			%      md=extrude(md,8,3,2);
+			%      md=extrude(md,[0 0.2 0.5 0.7 0.9 0.95 1]);
+			%
+			%   See also: MODELEXTRACT, COLLAPSE
+
+			%some checks on list of arguments
+			if ((nargin>4) | (nargin<2) | (nargout~=1)),
+				help extrude;
+				error('extrude error message');
+			end
+
+			%Extrude the mesh
+			if nargin==2, %list of coefficients
+				clist=varargin{1};
+				if any(clist<0) | any(clist>1),
+					error('extrusioncoefficients must be between 0 and 1');
+				end
+				extrusionlist=sort(unique([clist(:);0;1]));
+				numlayers=length(extrusionlist);
+			elseif nargin==3, %one polynomial law
+				if varargin{2}<=0,
+					help extrude;
+					error('extrusionexponent must be >=0');
+				end
+				numlayers=varargin{1};
+				extrusionlist=((0:1:numlayers-1)/(numlayers-1)).^varargin{2};
+			elseif nargin==4, %two polynomial laws
+				numlayers=varargin{1};
+				lowerexp=varargin{2};
+				upperexp=varargin{3};
+
+				if varargin{2}<=0 | varargin{3}<=0,
+					help extrude;
+					error('lower and upper extrusionexponents must be >=0');
+				end
+
+				lowerextrusionlist=[(0:2/(numlayers-1):1).^lowerexp]/2;
+				upperextrusionlist=[(0:2/(numlayers-1):1).^upperexp]/2;
+				extrusionlist=sort(unique([lowerextrusionlist 1-upperextrusionlist]));
+
+			end
+
+			if numlayers<2,
+				error('number of layers should be at least 2');
+			end
+			if md.mesh.dimension==3,
+				error('Cannot extrude a 3d mesh (extrude cannot be called more than once)');
+			end
+
+			%Initialize with the 2d mesh
+			x3d=[]; 
+			y3d=[];
+			z3d=[];  %the lower node is on the bed
+			thickness3d=md.geometry.thickness; %thickness and bed for these nodes
+			bed3d=md.geometry.bed;
+
+			%Create the new layers
+			for i=1:numlayers,
+				x3d=[x3d; md.mesh.x]; 
+				y3d=[y3d; md.mesh.y];
+				%nodes are distributed between bed and surface accordingly to the given exponent
+				z3d=[z3d; bed3d+thickness3d*extrusionlist(i)]; 
+			end
+			number_nodes3d=size(x3d,1); %number of 3d nodes for the non extruded part of the mesh
+
+			%Extrude elements 
+			elements3d=[];
+			for i=1:numlayers-1,
+				elements3d=[elements3d;[md.mesh.elements+(i-1)*md.mesh.numberofvertices md.mesh.elements+i*md.mesh.numberofvertices]]; %Create the elements of the 3d mesh for the non extruded part
+			end
+			number_el3d=size(elements3d,1); %number of 3d nodes for the non extruded part of the mesh
+
+			%Keep a trace of lower and upper nodes
+			mesh.lowervertex=NaN*ones(number_nodes3d,1);
+			mesh.uppervertex=NaN*ones(number_nodes3d,1);
+			mesh.lowervertex(md.mesh.numberofvertices+1:end)=1:(numlayers-1)*md.mesh.numberofvertices;
+			mesh.uppervertex(1:(numlayers-1)*md.mesh.numberofvertices)=md.mesh.numberofvertices+1:number_nodes3d;
+			md.mesh.lowervertex=mesh.lowervertex;
+			md.mesh.uppervertex=mesh.uppervertex;
+
+			%same for lower and upper elements
+			mesh.lowerelements=NaN*ones(number_el3d,1);
+			mesh.upperelements=NaN*ones(number_el3d,1);
+			mesh.lowerelements(md.mesh.numberofelements+1:end)=1:(numlayers-2)*md.mesh.numberofelements;
+			mesh.upperelements(1:(numlayers-2)*md.mesh.numberofelements)=md.mesh.numberofelements+1:(numlayers-1)*md.mesh.numberofelements;
+			md.mesh.lowerelements=mesh.lowerelements;
+			md.mesh.upperelements=mesh.upperelements;
+
+			%Save old mesh 
+			md.mesh.x2d=md.mesh.x;
+			md.mesh.y2d=md.mesh.y;
+			md.mesh.elements2d=md.mesh.elements;
+			md.mesh.numberofelements2d=md.mesh.numberofelements;
+			md.mesh.numberofvertices2d=md.mesh.numberofvertices;
+
+			%Update mesh type
+			md.mesh.dimension=3;
+
+			%Build global 3d mesh 
+			md.mesh.elements=elements3d;
+			md.mesh.x=x3d;
+			md.mesh.y=y3d;
+			md.mesh.z=z3d;
+			md.mesh.numberofelements=number_el3d;
+			md.mesh.numberofvertices=number_nodes3d;
+			md.mesh.numberoflayers=numlayers;
+
+			%Ok, now deal with the other fields from the 2d mesh:
+
+			%lat long
+			md.mesh.lat=project3d(md,'vector',md.mesh.lat,'type','node');
+			md.mesh.long=project3d(md,'vector',md.mesh.long,'type','node');
+
+			%drag coefficient is limited to nodes that are on the bedrock.
+			md.friction.coefficient=project3d(md,'vector',md.friction.coefficient,'type','node','layer',1);
+
+			%p and q (same deal, except for element that are on the bedrock: )
+			md.friction.p=project3d(md,'vector',md.friction.p,'type','element');
+			md.friction.q=project3d(md,'vector',md.friction.q,'type','element');
+
+			%observations
+			md.inversion.vx_obs=project3d(md,'vector',md.inversion.vx_obs,'type','node');
+			md.inversion.vy_obs=project3d(md,'vector',md.inversion.vy_obs,'type','node');
+			md.inversion.vel_obs=project3d(md,'vector',md.inversion.vel_obs,'type','node');
+			md.surfaceforcings.mass_balance=project3d(md,'vector',md.surfaceforcings.mass_balance,'type','node');
+			md.surfaceforcings.precipitation=project3d(md,'vector',md.surfaceforcings.precipitation,'type','node');
+			md.balancethickness.thickening_rate=project3d(md,'vector',md.balancethickness.thickening_rate,'type','node');
+			md.surfaceforcings.monthlytemperatures=project3d(md,'vector',md.surfaceforcings.monthlytemperatures,'type','node');
+
+			%results
+			if ~isnan(md.initialization.vx),md.initialization.vx=project3d(md,'vector',md.initialization.vx,'type','node');end;
+			if ~isnan(md.initialization.vy),md.initialization.vy=project3d(md,'vector',md.initialization.vy,'type','node');end;
+			if ~isnan(md.initialization.vz),md.initialization.vz=project3d(md,'vector',md.initialization.vz,'type','node');end;
+			if ~isnan(md.initialization.vel),md.initialization.vel=project3d(md,'vector',md.initialization.vel,'type','node');end;
+			if ~isnan(md.initialization.temperature),md.initialization.temperature=project3d(md,'vector',md.initialization.temperature,'type','node');end;
+			if ~isnan(md.initialization.waterfraction),md.initialization.waterfraction=project3d(md,'vector',md.initialization.waterfraction,'type','node');end;
+
+			%bedinfo and surface info
+			md.mesh.elementonbed=project3d(md,'vector',ones(md.mesh.numberofelements2d,1),'type','element','layer',1);
+			md.mesh.elementonsurface=project3d(md,'vector',ones(md.mesh.numberofelements2d,1),'type','element','layer',md.mesh.numberoflayers-1);
+			md.mesh.vertexonbed=project3d(md,'vector',ones(md.mesh.numberofvertices2d,1),'type','node','layer',1);
+			md.mesh.vertexonsurface=project3d(md,'vector',ones(md.mesh.numberofvertices2d,1),'type','node','layer',md.mesh.numberoflayers);
+
+			%elementstype
+			if ~isnan(md.flowequation.element_equation)
+				oldelements_type=md.flowequation.element_equation;
+				md.flowequation.element_equation=zeros(number_el3d,1);
+				md.flowequation.element_equation=project3d(md,'vector',oldelements_type,'type','element');
+			end
+
+			%verticestype
+			if ~isnan(md.flowequation.vertex_equation)
+				oldvertices_type=md.flowequation.vertex_equation;
+				md.flowequation.vertex_equation=zeros(number_nodes3d,1);
+				md.flowequation.vertex_equation=project3d(md,'vector',oldvertices_type,'type','node');
+			end
+			md.flowequation.bordermacayeal=project3d(md,'vector',md.flowequation.bordermacayeal,'type','node');
+			md.flowequation.borderpattyn=project3d(md,'vector',md.flowequation.borderpattyn,'type','node');
+			md.flowequation.borderstokes=project3d(md,'vector',md.flowequation.borderstokes,'type','node');
+
+			%boundary conditions
+			md.diagnostic.spcvx=project3d(md,'vector',md.diagnostic.spcvx,'type','node');
+			md.diagnostic.spcvy=project3d(md,'vector',md.diagnostic.spcvy,'type','node');
+			md.diagnostic.spcvz=project3d(md,'vector',md.diagnostic.spcvz,'type','node');
+			md.thermal.spctemperature=project3d(md,'vector',md.thermal.spctemperature,'type','node','layer',md.mesh.numberoflayers,'padding',NaN);
+			md.prognostic.spcthickness=project3d(md,'vector',md.prognostic.spcthickness,'type','node');
+			md.balancethickness.spcthickness=project3d(md,'vector',md.balancethickness.spcthickness,'type','node');
+			md.diagnostic.referential=project3d(md,'vector',md.diagnostic.referential,'type','node');
+
+			%in 3d, pressureload: [node1 node2 node3 node4 element]
+			pressureload_layer1=[md.diagnostic.icefront(:,1:2)  md.diagnostic.icefront(:,2)+md.mesh.numberofvertices2d  md.diagnostic.icefront(:,1)+md.mesh.numberofvertices2d  md.diagnostic.icefront(:,3:4)]; %Add two columns on the first layer 
+			pressureload=[];
+			for i=1:numlayers-1,
+				pressureload=[pressureload ;pressureload_layer1(:,1:4)+(i-1)*md.mesh.numberofvertices2d pressureload_layer1(:,5)+(i-1)*md.mesh.numberofelements2d pressureload_layer1(:,6)];
+			end
+			md.diagnostic.icefront=pressureload;
+
+			%connectivity
+			md.mesh.elementconnectivity=repmat(md.mesh.elementconnectivity,numlayers-1,1);
+			md.mesh.elementconnectivity(find(md.mesh.elementconnectivity==0))=NaN;
+			for i=2:numlayers-1,
+				md.mesh.elementconnectivity((i-1)*md.mesh.numberofelements2d+1:(i)*md.mesh.numberofelements2d,:)...
+					=md.mesh.elementconnectivity((i-1)*md.mesh.numberofelements2d+1:(i)*md.mesh.numberofelements2d,:)+md.mesh.numberofelements2d;
+			end
+			md.mesh.elementconnectivity(find(isnan(md.mesh.elementconnectivity)))=0;
+
+			%materials
+			md.materials.rheology_B=project3d(md,'vector',md.materials.rheology_B,'type','node');
+			md.materials.rheology_n=project3d(md,'vector',md.materials.rheology_n,'type','element');
+			if isa(md.materials,'matdamageice')
+				md.materials.rheology_Z=project3d(md,'vector',md.materials.rheology_Z,'type','node');
+			end
+
+			%parameters
+			md.geometry.surface=project3d(md,'vector',md.geometry.surface,'type','node');
+			md.geometry.thickness=project3d(md,'vector',md.geometry.thickness,'type','node');
+			md.geometry.hydrostatic_ratio=project3d(md,'vector',md.geometry.hydrostatic_ratio,'type','node');
+			md.geometry.bed=project3d(md,'vector',md.geometry.bed,'type','node');
+			md.geometry.bathymetry=project3d(md,'vector',md.geometry.bathymetry,'type','node');
+			md.mesh.vertexonboundary=project3d(md,'vector',md.mesh.vertexonboundary,'type','node');
+			md.mask.elementonfloatingice=project3d(md,'vector',md.mask.elementonfloatingice,'type','element');
+			md.mask.vertexonfloatingice=project3d(md,'vector',md.mask.vertexonfloatingice,'type','node');
+			md.mask.elementongroundedice=project3d(md,'vector',md.mask.elementongroundedice,'type','element');
+			md.mask.vertexongroundedice=project3d(md,'vector',md.mask.vertexongroundedice,'type','node');
+			md.mask.elementonwater=project3d(md,'vector',md.mask.elementonwater,'type','element');
+			md.mask.vertexonwater=project3d(md,'vector',md.mask.vertexonwater,'type','node');
+			if ~isnan(md.inversion.cost_functions_coefficients),md.inversion.cost_functions_coefficients=project3d(md,'vector',md.inversion.cost_functions_coefficients,'type','node');end;
+			if ~isnan(md.inversion.min_parameters),md.inversion.min_parameters=project3d(md,'vector',md.inversion.min_parameters,'type','node');end;
+			if ~isnan(md.inversion.max_parameters),md.inversion.max_parameters=project3d(md,'vector',md.inversion.max_parameters,'type','node');end;
+			if ~isnan(md.qmu.partition),md.qmu.partition=project3d(md,'vector',md.qmu.partition','type','node');end
+			if(md.surfaceforcings.isdelta18o),md.surfaceforcings.temperatures_lgm=project3d(md,'vector',md.surfaceforcings.temperatures_lgm,'type','node');end
+			if(md.surfaceforcings.isdelta18o),md.surfaceforcings.temperatures_presentday=project3d(md,'vector',md.surfaceforcings.temperatures_presentday,'type','node');end
+			if(md.surfaceforcings.isdelta18o),md.surfaceforcings.precipitations_presentday=project3d(md,'vector',md.surfaceforcings.precipitations_presentday,'type','node');end
+
+			%Put lithostatic pressure if there is an existing pressure
+			if ~isnan(md.initialization.pressure),
+				md.initialization.pressure=md.constants.g*md.materials.rho_ice*(md.geometry.surface-md.mesh.z);
+			end
+
+			%special for thermal modeling:
+			md.basalforcings.melting_rate=project3d(md,'vector',md.basalforcings.melting_rate,'type','node','layer',1); 
+			if ~isnan(md.basalforcings.geothermalflux)
+				md.basalforcings.geothermalflux=project3d(md,'vector',md.basalforcings.geothermalflux,'type','node','layer',1); %bedrock only gets geothermal flux
+			end
+
+			%increase connectivity if less than 25:
+			if md.mesh.average_vertex_connectivity<=25,
+				md.mesh.average_vertex_connectivity=100;
+			end
 			end % }}}
-		 function md = structtomodel(md,structmd) % {{{
-
-			 if ~isstruct(structmd) error('input model is not a structure'); end
-
-			 %loaded model is a struct, initialize output and recover all fields
-			 md = structtoobj(model,structmd);
-
-			 %Old field now classes
-			 if (isfield(structmd,'timestepping') & isnumeric(md.timestepping)), md.timestepping=timestepping(); end
-			 if (isfield(structmd,'mask') & isnumeric(md.mask)),md.mask=mask(); end
-
-			 %Field name change
-			 if isfield(structmd,'drag'), md.friction.coefficient=structmd.drag; end
-			 if isfield(structmd,'p'), md.friction.p=structmd.p; end
-			 if isfield(structmd,'q'), md.friction.q=structmd.p; end
-			 if isfield(structmd,'melting'), md.basalforcings.melting_rate=structmd.melting; end
-			 if isfield(structmd,'melting_rate'), md.basalforcings.melting_rate=structmd.melting_rate; end
-			 if isfield(structmd,'accumulation'), md.surfaceforcings.mass_balance=structmd.accumulation; end
-			 if isfield(structmd,'numberofgrids'), md.mesh.numberofvertices=structmd.numberofgrids; end
-			 if isfield(structmd,'numberofgrids2d'), md.mesh.numberofvertices2d=structmd.numberofgrids2d; end
-			 if isfield(structmd,'uppergrids'), md.mesh.uppervertex=structmd.uppergrids; end
-			 if isfield(structmd,'lowergrids'), md.mesh.lowervertex=structmd.lowergrids; end
-			 if isfield(structmd,'gridonbed'), md.mesh.vertexonbed=structmd.gridonbed; end
-			 if isfield(structmd,'gridonsurface'), md.mesh.vertexonsurface=structmd.gridonsurface; end
-			 if isfield(structmd,'extractedgrids'), md.mesh.extractedvertices=structmd.extractedgrids; end
-			 if isfield(structmd,'gridoniceshelf'), md.mask.vertexonfloatingice=structmd.gridoniceshelf; end
-			 if isfield(structmd,'gridonicesheet'), md.mask.vertexongroundedice=structmd.gridonicesheet; end
-			 if isfield(structmd,'gridonwater'), md.mask.vertexonwater=structmd.gridonwater; end
-			 if isfield(structmd,'gridonboundary'), md.mesh.vertexonboundary=structmd.gridonboundary; end
-			 if isfield(structmd,'petscoptions') & ~isempty(structmd.petscoptions), md.solver=structmd.petscoptions; end
-			 if isfield(structmd,'g'), md.constants.g=structmd.g; end
-			 if isfield(structmd,'yts'), md.constants.yts=structmd.yts; end
-			 if isfield(structmd,'surface_mass_balance'), md.surfaceforcings.mass_balance=structmd.surface_mass_balance; end
-			 if isfield(structmd,'basal_melting_rate'), md.basalforcings.melting_rate=structmd.basal_melting_rate; end
-			 if isfield(structmd,'basal_melting_rate_correction'), md.basalforcings.melting_rate_correction=structmd.basal_melting_rate_correction; end
-			 if isfield(structmd,'geothermalflux'), md.basalforcings.geothermalflux=structmd.geothermalflux; end
-			 if isfield(structmd,'drag'), md.friction.coefficient=structmd.drag; end
-			 if isfield(structmd,'drag_coefficient'), md.friction.coefficient=structmd.drag_coefficient; end
-			 if isfield(structmd,'drag_p'), md.friction.p=structmd.drag_p; end
-			 if isfield(structmd,'drag_q'), md.friction.q=structmd.drag_q; end
-			 if isfield(structmd,'riftproperties'), %old implementation
-				 md.rifts=rifts();
-				 md.rifts.riftproperties=structmd.riftproperties; 
-				 md.rifts.riftstruct=structmd.rifts;
-				 md.rifts.riftproperties=structmd.riftinfo;
-			 end
-			 if isfield(structmd,'bamg'), md.private.bamg=structmd.bamg; end
-			 if isfield(structmd,'lowmem'), md.settings.lowmem=structmd.lowmem; end
-			 if isfield(structmd,'io_gather'), md.settings.io_gather=structmd.io_gather; end
-			 if isfield(structmd,'spcwatercolumn'), md.hydrology.spcwatercolumn=structmd.spcwatercolumn; end
-			 if isfield(structmd,'hydro_n'), md.hydrology.n=structmd.hydro_n; end
-			 if isfield(structmd,'hydro_p'), md.hydrology.p=structmd.hydro_p; end
-			 if isfield(structmd,'hydro_q'), md.hydrology.q=structmd.hydro_q; end
-			 if isfield(structmd,'hydro_CR'), md.hydrology.CR=structmd.hydro_CR; end
-			 if isfield(structmd,'hydro_kn'), md.hydrology.kn=structmd.hydro_kn; end
-			 if isfield(structmd,'spctemperature'), md.thermal.spctemperature=structmd.spctemperature; end
-			 if isfield(structmd,'min_thermal_constraints'), md.thermal.penalty_threshold=structmd.min_thermal_constraints; end
-			 if isfield(structmd,'artificial_diffusivity'), md.thermal.stabilization=structmd.artificial_diffusivity; end
-			 if isfield(structmd,'max_nonlinear_iterations'), md.thermal.maxiter=structmd.max_nonlinear_iterations; end
-			 if isfield(structmd,'stabilize_constraints'), md.thermal.penalty_lock=structmd.stabilize_constraints; end
-			 if isfield(structmd,'penalty_offset'), md.thermal.penalty_factor=structmd.penalty_offset; end
-			 if isfield(structmd,'name'), md.miscellaneous.name=structmd.name; end
-			 if isfield(structmd,'notes'), md.miscellaneous.notes=structmd.notes; end
-			 if isfield(structmd,'dummy'), md.miscellaneous.dummy=structmd.dummy; end
-			 if isfield(structmd,'dt'), md.timestepping.time_step=structmd.dt; end
-			 if isfield(structmd,'ndt'), md.timestepping.final_time=structmd.ndt; end
-			 if isfield(structmd,'time_adapt'), md.timestepping.time_adapt=structmd.time_adapt; end
-			 if isfield(structmd,'cfl_coefficient'), md.timestepping.cfl_coefficient=structmd.cfl_coefficient; end
-			 if isfield(structmd,'spcthickness'), md.prognostic.spcthickness=structmd.spcthickness; end
-			 if isfield(structmd,'artificial_diffusivity'), md.prognostic.stabilization=structmd.artificial_diffusivity; end
-			 if isfield(structmd,'hydrostatic_adjustment'), md.prognostic.hydrostatic_adjustment=structmd.hydrostatic_adjustment; end
-			 if isfield(structmd,'penalties'), md.prognostic.vertex_pairing=structmd.penalties; end
-			 if isfield(structmd,'penalty_offset'), md.prognostic.penalty_factor=structmd.penalty_offset; end
-			 if isfield(structmd,'B'), md.materials.rheology_B=structmd.B; end
-			 if isfield(structmd,'n'), md.materials.rheology_n=structmd.n; end
-			 if isfield(structmd,'rheology_B'), md.materials.rheology_B=structmd.rheology_B; end
-			 if isfield(structmd,'rheology_n'), md.materials.rheology_n=structmd.rheology_n; end
-			 if isfield(structmd,'elementoniceshelf'), md.mask.elementonfloatingice=structmd.elementoniceshelf; end
-			 if isfield(structmd,'elementonicesheet'), md.mask.elementongroundedice=structmd.elementonicesheet; end
-			 if isfield(structmd,'elementonwater'), md.mask.elementonwater=structmd.elementonwater; end
-			 if isfield(structmd,'nodeoniceshelf'), md.mask.vertexonfloatingice=structmd.nodeoniceshelf; end
-			 if isfield(structmd,'nodeonicesheet'), md.mask.vertexongroundedice=structmd.nodeonicesheet; end
-			 if isfield(structmd,'nodeonwater'), md.mask.vertexonwater=structmd.nodeonwater; end
-			 if isfield(structmd,'spcthickness'), md.balancethickness.spcthickness=structmd.spcthickness; end
-			 if isfield(structmd,'artificial_diffusivity'), md.balancethickness.stabilization=structmd.artificial_diffusivity; end
-			 if isfield(structmd,'dhdt'), md.balancethickness.thickening_rate=structmd.dhdt; end
-			 if isfield(structmd,'ismacayealpattyn'), md.flowequation.ismacayealpattyn=structmd.ismacayealpattyn; end
-			 if isfield(structmd,'ishutter'), md.flowequation.ishutter=structmd.ishutter; end
-			 if isfield(structmd,'isstokes'), md.flowequation.isstokes=structmd.isstokes; end
-			 if isfield(structmd,'elements_type'), md.flowequation.element_equation=structmd.elements_type; end
-			 if isfield(structmd,'vertices_type'), md.flowequation.vertex_equation=structmd.vertices_type; end
-			 if isfield(structmd,'eps_rel'), md.steadystate.reltol=structmd.eps_rel; end
-			 if isfield(structmd,'max_steadystate_iterations'), md.steadystate.maxiter=structmd.max_steadystate_iterations; end
-			 if isfield(structmd,'isdiagnostic'), md.transient.isdiagnostic=structmd.isdiagnostic; end
-			 if isfield(structmd,'isprognostic'), md.transient.isprognostic=structmd.isprognostic; end
-			 if isfield(structmd,'isthermal'), md.transient.isthermal=structmd.isthermal; end
-			 if isfield(structmd,'control_analysis'), md.inversion.iscontrol=structmd.control_analysis; end
-			 if isfield(structmd,'weights'), md.inversion.cost_functions_coefficients=structmd.weights; end
-			 if isfield(structmd,'nsteps'), md.inversion.nsteps=structmd.nsteps; end
-			 if isfield(structmd,'maxiter_per_step'), md.inversion.maxiter_per_step=structmd.maxiter_per_step; end
-			 if isfield(structmd,'cm_min'), md.inversion.min_parameters=structmd.cm_min; end
-			 if isfield(structmd,'cm_max'), md.inversion.max_parameters=structmd.cm_max; end
-			 if isfield(structmd,'vx_obs'), md.inversion.vx_obs=structmd.vx_obs; end
-			 if isfield(structmd,'vy_obs'), md.inversion.vy_obs=structmd.vy_obs; end
-			 if isfield(structmd,'vel_obs'), md.inversion.vel_obs=structmd.vel_obs; end
-			 if isfield(structmd,'thickness_obs'), md.inversion.thickness_obs=structmd.thickness_obs; end
-			 if isfield(structmd,'vx'), md.initialization.vx=structmd.vx; end
-			 if isfield(structmd,'vy'), md.initialization.vy=structmd.vy; end
-			 if isfield(structmd,'vz'), md.initialization.vz=structmd.vz; end
-			 if isfield(structmd,'vel'), md.initialization.vel=structmd.vel; end
-			 if isfield(structmd,'pressure'), md.initialization.pressure=structmd.pressure; end
-			 if isfield(structmd,'temperature'), md.initialization.temperature=structmd.temperature; end
-			 if isfield(structmd,'waterfraction'), md.initialization.waterfraction=structmd.waterfraction; end
-			 if isfield(structmd,'watercolumn'), md.initialization.watercolumn=structmd.watercolumn; end
-			 if isfield(structmd,'surface'), md.geometry.surface=structmd.surface; end
-			 if isfield(structmd,'bed'), md.geometry.bed=structmd.bed; end
-			 if isfield(structmd,'thickness'), md.geometry.thickness=structmd.thickness; end
-			 if isfield(structmd,'bathymetry'), md.geometry.bathymetry=structmd.bathymetry; end
-			 if isfield(structmd,'thickness_coeff'), md.geometry.hydrostatic_ratio=structmd.thickness_coeff; end
-			 if isfield(structmd,'connectivity'), md.mesh.average_vertex_connectivity=structmd.connectivity; end
-			 if isfield(structmd,'extractednodes'), md.mesh.extractedvertices=structmd.extractednodes; end
-			 if isfield(structmd,'extractedelements'), md.mesh.extractedelements=structmd.extractedelements; end
-			 if isfield(structmd,'nodeonboundary'), md.mesh.vertexonboundary=structmd.nodeonboundary; end
-			 if isfield(structmd,'hemisphere'), md.mesh.hemisphere=structmd.hemisphere; end
-			 if isfield(structmd,'lat'), md.mesh.lat=structmd.lat; end
-			 if isfield(structmd,'long'), md.mesh.long=structmd.long; end
-			 if isfield(structmd,'segments'), md.mesh.segments=structmd.segments; end
-			 if isfield(structmd,'segmentmarkers'), md.mesh.segmentmarkers=structmd.segmentmarkers; end
-			 if isfield(structmd,'dim'), md.mesh.dimension=structmd.dim; end
-			 if isfield(structmd,'numlayers'), md.mesh.numberoflayers=structmd.numlayers; end
-			 if isfield(structmd,'numberofelements'), md.mesh.numberofelements=structmd.numberofelements; end
-			 if isfield(structmd,'numberofvertices'), md.mesh.numberofvertices=structmd.numberofvertices; end
-			 if isfield(structmd,'numberofnodes'), md.mesh.numberofvertices=structmd.numberofnodes; end
-			 if isfield(structmd,'numberofedges'), md.mesh.numberofedges=structmd.numberofedges; end
-			 if isfield(structmd,'numberofelements2d'), md.mesh.numberofelements2d=structmd.numberofelements2d; end
-			 if isfield(structmd,'numberofnodes2d'), md.mesh.numberofvertices2d=structmd.numberofnodes2d; end
-			 if isfield(structmd,'nodeconnectivity'), md.mesh.vertexconnectivity=structmd.nodeconnectivity; end
-			 if isfield(structmd,'elementconnectivity'), md.mesh.elementconnectivity=structmd.elementconnectivity; end
-			 if isfield(structmd,'uppernodes'), md.mesh.uppervertex=structmd.uppernodes; end
-			 if isfield(structmd,'lowernodes'), md.mesh.lowervertex=structmd.lowernodes; end
-			 if isfield(structmd,'upperelements'), md.mesh.upperelements=structmd.upperelements; end
-			 if isfield(structmd,'lowerelements'), md.mesh.lowerelements=structmd.lowerelements; end
-			 if isfield(structmd,'elementonbed'), md.mesh.elementonbed=structmd.elementonbed; end
-			 if isfield(structmd,'elementonsurface'), md.mesh.elementonsurface=structmd.elementonsurface; end
-			 if isfield(structmd,'nodeonsurface'), md.mesh.vertexonsurface=structmd.nodeonsurface; end
-			 if isfield(structmd,'nodeonbed'), md.mesh.vertexonbed=structmd.nodeonbed; end
-			 if isfield(structmd,'elements2d'), md.mesh.elements2d=structmd.elements2d; end
-			 if isfield(structmd,'y2d'), md.mesh.y2d=structmd.y2d; end
-			 if isfield(structmd,'x2d'), md.mesh.x2d=structmd.x2d; end
-			 if isfield(structmd,'elements'), md.mesh.elements=structmd.elements; end
-			 if isfield(structmd,'edges'), md.mesh.edges=structmd.edges; end
-			 if isfield(structmd,'y'), md.mesh.y=structmd.y; end
-			 if isfield(structmd,'x'), md.mesh.x=structmd.x; end
-			 if isfield(structmd,'z'), md.mesh.z=structmd.z; end
-			 if isfield(structmd,'mask'), md.flaim.criterion=structmd.mask; end
-			 if isfield(structmd,'pressureload'), md.diagnostic.icefront=structmd.pressureload; end
-			 if isfield(structmd,'diagnostic_ref'), md.diagnostic.referential=structmd.diagnostic_ref; end
-			 if isfield(structmd,'npart'); md.qmu.numberofpartitions=structmd.npart; end
-			 if isfield(structmd,'part'); md.qmu.partition=structmd.part; end
-
-			 %Field changes
-			 if (isfield(structmd,'type') & ischar(structmd.type)), 
-				 if strcmpi(structmd.type,'2d'), md.mesh.dimension=2; end
-				 if strcmpi(structmd.type,'3d'), md.mesh.dimension=3; end
-			 end
-			 if isnumeric(md.verbose),
-				 md.verbose=verbose;
-			 end
-			 if size(md.diagnostic.icefront,2)==3 || size(md.diagnostic.icefront,2)==5,
-				 front=md.diagnostic.icefront;
-				 md.diagnostic.icefront=[front 1*md.mask.elementonfloatingice(front(:,end))];
-			 end
-			 if isfield(structmd,'spcvelocity'), 
-				 md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1);
-				 md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1);
-				 md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1);
-				 pos=find(structmd.spcvelocity(:,1)); md.diagnostic.spcvx(pos)=structmd.spcvelocity(pos,4); 
-				 pos=find(structmd.spcvelocity(:,2)); md.diagnostic.spcvy(pos)=structmd.spcvelocity(pos,5); 
-				 pos=find(structmd.spcvelocity(:,3)); md.diagnostic.spcvz(pos)=structmd.spcvelocity(pos,6); 
-			 end
-			 if isfield(structmd,'spcvx'), 
-				 md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1);
-				 pos=find(~isnan(structmd.spcvx)); md.diagnostic.spcvx(pos)=structmd.spcvx(pos); 
-			 end
-			 if isfield(structmd,'spcvy'),
-				 md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1);
-				 pos=find(~isnan(structmd.spcvy)); md.diagnostic.spcvy(pos)=structmd.spcvy(pos);     
-			 end
-			 if isfield(structmd,'spcvz'),
-				 md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1);
-				 pos=find(~isnan(structmd.spcvz)); md.diagnostic.spcvz(pos)=structmd.spcvz(pos);     
-			 end
-			 if ~isempty(structmd.pressureload) & ismember(structmd.pressureload(end,end),[118 119 120]),
-				 pos=find(structmd.pressureload(:,end)==120); md.diagnostic.icefront(pos,end)=0;
-				 pos=find(structmd.pressureload(:,end)==118); md.diagnostic.icefront(pos,end)=1;
-				 pos=find(structmd.pressureload(:,end)==119); md.diagnostic.icefront(pos,end)=2;
-			 end
-			 if isfield(structmd,'elements_type') & structmd.elements_type(end,end)>50,
-				 pos=find(structmd.elements_type==59); md.flowequation.element_equation(pos,end)=0;
-				 pos=find(structmd.elements_type==55); md.flowequation.element_equation(pos,end)=1;
-				 pos=find(structmd.elements_type==56); md.flowequation.element_equation(pos,end)=2;
-				 pos=find(structmd.elements_type==60); md.flowequation.element_equation(pos,end)=3;
-				 pos=find(structmd.elements_type==62); md.flowequation.element_equation(pos,end)=4;
-				 pos=find(structmd.elements_type==57); md.flowequation.element_equation(pos,end)=5;
-				 pos=find(structmd.elements_type==58); md.flowequation.element_equation(pos,end)=6;
-				 pos=find(structmd.elements_type==61); md.flowequation.element_equation(pos,end)=7;
-			 end
-			 if isfield(structmd,'vertices_type') & structmd.vertices_type(end,end)>50,
-				 pos=find(structmd.vertices_type==59); md.flowequation.vertex_equation(pos,end)=0;
-				 pos=find(structmd.vertices_type==55); md.flowequation.vertex_equation(pos,end)=1;
-				 pos=find(structmd.vertices_type==56); md.flowequation.vertex_equation(pos,end)=2;
-				 pos=find(structmd.vertices_type==60); md.flowequation.vertex_equation(pos,end)=3;
-				 pos=find(structmd.vertices_type==62); md.flowequation.vertex_equation(pos,end)=4;
-				 pos=find(structmd.vertices_type==57); md.flowequation.vertex_equation(pos,end)=5;
-				 pos=find(structmd.vertices_type==58); md.flowequation.vertex_equation(pos,end)=6;
-				 pos=find(structmd.vertices_type==61); md.flowequation.vertex_equation(pos,end)=7;
-			 end
-			 if isfield(structmd,'rheology_law') & isnumeric(structmd.rheology_law),
-				 if (structmd.rheology_law==272), md.materials.rheology_law='None';      end
-				 if (structmd.rheology_law==368), md.materials.rheology_law='Paterson';  end
-				 if (structmd.rheology_law==369), md.materials.rheology_law='Arrhenius'; end
-			 end
-			 if isfield(structmd,'groundingline_migration') & isnumeric(structmd.groundingline_migration),
-				 if (structmd.groundingline_migration==272), md.groundingline.migration='None';      end
-				 if (structmd.groundingline_migration==273), md.groundingline.migration='AgressiveMigration';  end
-				 if (structmd.groundingline_migration==274), md.groundingline.migration='SoftMigration'; end
-			 end
-			 if isfield(structmd,'control_type') & isnumeric(structmd.control_type),
-				 if (structmd.control_type==143), md.inversion.control_parameters={'FrictionCoefficient'}; end
-				 if (structmd.control_type==190), md.inversion.control_parameters={'RheologyBbar'}; end
-				 if (structmd.control_type==147), md.inversion.control_parameters={'Thickeningrate'}; end
-			 end
-			 if isfield(structmd,'cm_responses') & ismember(structmd.cm_responses(end,end),[165:170 383 388 389]),
-				 pos=find(structmd.cm_responses==166); md.inversion.cost_functions(pos)=101;
-				 pos=find(structmd.cm_responses==167); md.inversion.cost_functions(pos)=102;
-				 pos=find(structmd.cm_responses==168); md.inversion.cost_functions(pos)=103;
-				 pos=find(structmd.cm_responses==169); md.inversion.cost_functions(pos)=104;
-				 pos=find(structmd.cm_responses==170); md.inversion.cost_functions(pos)=105;
-				 pos=find(structmd.cm_responses==165); md.inversion.cost_functions(pos)=201;
-				 pos=find(structmd.cm_responses==389); md.inversion.cost_functions(pos)=501;
-				 pos=find(structmd.cm_responses==388); md.inversion.cost_functions(pos)=502;
-				 pos=find(structmd.cm_responses==382); md.inversion.cost_functions(pos)=503;
-			 end
-
-			 if isfield(structmd,'artificial_diffusivity') & structmd.artificial_diffusivity==2,
-					 md.thermal.stabilization=2;
-					 md.prognostic.stabilization=1;
-					 md.balancethickness.stabilization=1;
-			 end
-			 if isnumeric(md.prognostic.hydrostatic_adjustment)
-				 if md.prognostic.hydrostatic_adjustment==269,
-					 md.prognostic.hydrostatic_adjustment='Incremental';
-				 else
-					 md.prognostic.hydrostatic_adjustment='Absolute';
-				 end
-			 end
-
-			 %New fields
-			 if ~isfield(structmd,'upperelements');
-				 md.mesh.upperelements=transpose(1:md.mesh.numberofelements)+md.mesh.numberofelements2d;
-				 md.mesh.upperelements(end-md.mesh.numberofelements2d+1:end)=NaN;
-			 end
-			 if ~isfield(structmd,'lowerelements');
-				 md.mesh.lowerelements=transpose(1:md.mesh.numberofelements)-md.mesh.numberofelements2d;
-				 md.mesh.lowerelements(1:md.mesh.numberofelements2d)=NaN;
-			 end
-
-			 if ~isfield(structmd,'diagnostic_ref');
-				 md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6);
-			 end
-
-		 end% }}}
-		 function md = setdefaultparameters(md) % {{{
-
-			 %initialize subclasses
-			 md.mesh             = mesh();
-			 md.mask             = mask();
-			 md.constants        = constants();
-			 md.geometry         = geometry();
-			 md.initialization   = initialization();
-			 md.surfaceforcings  = surfaceforcings();
-			 md.basalforcings    = basalforcings();
-			 md.friction         = friction();
-			 md.rifts            = rifts();
-			 md.timestepping     = timestepping();
-			 md.groundingline    = groundingline();
-			 md.materials        = matice();
-			 md.flowequation     = flowequation();
-			 md.debug            = debug();
-			 md.verbose          = verbose('solution',true,'qmu',true,'control',true);
-			 md.settings         = settings();
-			 md.solver           = solver();
-			 if ismumps(),
-				 md.solver           = addoptions(md.solver,DiagnosticVertAnalysisEnum(),mumpsoptions());
-			 else
-				 md.solver           = addoptions(md.solver,DiagnosticVertAnalysisEnum(),iluasmoptions());
-			 end
-			 md.cluster          = generic();
-			 md.balancethickness = balancethickness();
-			 md.diagnostic       = diagnostic();
-			 md.hydrology        = hydrology();
-			 md.prognostic       = prognostic();
-			 md.thermal          = thermal();
-			 md.steadystate      = steadystate();
-			 md.transient        = transient();
-			 md.autodiff         = autodiff();
-			 md.flaim            = flaim();
-			 md.inversion        = inversion();
-			 md.qmu              = qmu();
-			 md.radaroverlay     = radaroverlay();
-			 md.results          = struct();
-			 md.miscellaneous    = miscellaneous();
-			 md.private          = private();
-		 end
-		 %}}}
-		 function disp(obj) % {{{
-			 disp(sprintf('%19s: %-22s -- %s','mesh'            ,['[1x1 ' class(obj.mesh) ']'],'mesh properties'));
-			 disp(sprintf('%19s: %-22s -- %s','mask'            ,['[1x1 ' class(obj.mask) ']'],'defines grounded and floating elements'));
-			 disp(sprintf('%19s: %-22s -- %s','geometry'        ,['[1x1 ' class(obj.geometry) ']'],'surface elevation, bedrock topography, ice thickness,...'));
-			 disp(sprintf('%19s: %-22s -- %s','constants'       ,['[1x1 ' class(obj.constants) ']'],'physical constants'));
-			 disp(sprintf('%19s: %-22s -- %s','surfaceforcings' ,['[1x1 ' class(obj.surfaceforcings) ']'],'surface forcings'));
-			 disp(sprintf('%19s: %-22s -- %s','basalforcings'   ,['[1x1 ' class(obj.basalforcings) ']'],'bed forcings'));
-			 disp(sprintf('%19s: %-22s -- %s','materials'       ,['[1x1 ' class(obj.materials) ']'],'material properties'));
-			 disp(sprintf('%19s: %-22s -- %s','friction'        ,['[1x1 ' class(obj.friction) ']'],'basal friction/drag properties'));
-			 disp(sprintf('%19s: %-22s -- %s','flowequation'    ,['[1x1 ' class(obj.flowequation) ']'],'flow equations'));
-			 disp(sprintf('%19s: %-22s -- %s','timestepping'    ,['[1x1 ' class(obj.timestepping) ']'],'time stepping for transient models'));
-			 disp(sprintf('%19s: %-22s -- %s','initialization'  ,['[1x1 ' class(obj.initialization) ']'],'initial guess/state'));
-			 disp(sprintf('%19s: %-22s -- %s','rifts'           ,['[1x1 ' class(obj.rifts) ']'],'rifts properties'));
-			 disp(sprintf('%19s: %-22s -- %s','debug'           ,['[1x1 ' class(obj.debug) ']'],'debugging tools (valgrind, gprof)'));
-			 disp(sprintf('%19s: %-22s -- %s','verbose'         ,['[1x1 ' class(obj.verbose) ']'],'verbosity level in solve'));
-			 disp(sprintf('%19s: %-22s -- %s','settings'        ,['[1x1 ' class(obj.settings) ']'],'settings properties'));
-			 disp(sprintf('%19s: %-22s -- %s','solver'          ,['[1x1 ' class(obj.solver) ']'],'PETSc options for each solution'));
-			 disp(sprintf('%19s: %-22s -- %s','cluster'         ,['[1x1 ' class(obj.cluster) ']'],'cluster parameters (number of cpus...)'));
-			 disp(sprintf('%19s: %-22s -- %s','balancethickness',['[1x1 ' class(obj.balancethickness) ']'],'parameters for balancethickness solution'));
-			 disp(sprintf('%19s: %-22s -- %s','diagnostic'      ,['[1x1 ' class(obj.diagnostic) ']'],'parameters for diagnostic solution'));
-			 disp(sprintf('%19s: %-22s -- %s','groundingline'   ,['[1x1 ' class(obj.groundingline) ']'],'parameters for groundingline solution'));
-			 disp(sprintf('%19s: %-22s -- %s','hydrology'       ,['[1x1 ' class(obj.hydrology) ']'],'parameters for hydrology solution'));
-			 disp(sprintf('%19s: %-22s -- %s','prognostic'      ,['[1x1 ' class(obj.prognostic) ']'],'parameters for prognostic solution'));
-			 disp(sprintf('%19s: %-22s -- %s','thermal'         ,['[1x1 ' class(obj.thermal) ']'],'parameters for thermal solution'));
-			 disp(sprintf('%19s: %-22s -- %s','steadystate'     ,['[1x1 ' class(obj.steadystate) ']'],'parameters for steadystate solution'));
-			 disp(sprintf('%19s: %-22s -- %s','transient'       ,['[1x1 ' class(obj.transient) ']'],'parameters for transient solution'));
-			 disp(sprintf('%19s: %-22s -- %s','autodiff'        ,['[1x1 ' class(obj.autodiff) ']'],'automatic differentiation parameters'));
-			 disp(sprintf('%19s: %-22s -- %s','flaim'           ,['[1x1 ' class(obj.flaim) ']'],'flaim parameters'));
-			 disp(sprintf('%19s: %-22s -- %s','inversion'       ,['[1x1 ' class(obj.inversion) ']'],'parameters for inverse methods'));
-			 disp(sprintf('%19s: %-22s -- %s','qmu'             ,['[1x1 ' class(obj.qmu) ']'],'dakota properties'));
-			 disp(sprintf('%19s: %-22s -- %s','results'         ,['[1x1 ' class(obj.results) ']'],'model results'));
-			 disp(sprintf('%19s: %-22s -- %s','radaroverlay'    ,['[1x1 ' class(obj.radaroverlay) ']'],'radar image for plot overlay'));
-			 disp(sprintf('%19s: %-22s -- %s','miscellaneous'   ,['[1x1 ' class(obj.miscellaneous) ']'],'miscellaneous fields'));
-		 end % }}}
-	 end
+		function md = structtomodel(md,structmd) % {{{
+
+			if ~isstruct(structmd) error('input model is not a structure'); end
+
+			%loaded model is a struct, initialize output and recover all fields
+			md = structtoobj(model,structmd);
+
+			%Old field now classes
+			if (isfield(structmd,'timestepping') & isnumeric(md.timestepping)), md.timestepping=timestepping(); end
+			if (isfield(structmd,'mask') & isnumeric(md.mask)),md.mask=mask(); end
+
+			%Field name change
+			if isfield(structmd,'drag'), md.friction.coefficient=structmd.drag; end
+			if isfield(structmd,'p'), md.friction.p=structmd.p; end
+			if isfield(structmd,'q'), md.friction.q=structmd.p; end
+			if isfield(structmd,'melting'), md.basalforcings.melting_rate=structmd.melting; end
+			if isfield(structmd,'melting_rate'), md.basalforcings.melting_rate=structmd.melting_rate; end
+			if isfield(structmd,'accumulation'), md.surfaceforcings.mass_balance=structmd.accumulation; end
+			if isfield(structmd,'numberofgrids'), md.mesh.numberofvertices=structmd.numberofgrids; end
+			if isfield(structmd,'numberofgrids2d'), md.mesh.numberofvertices2d=structmd.numberofgrids2d; end
+			if isfield(structmd,'uppergrids'), md.mesh.uppervertex=structmd.uppergrids; end
+			if isfield(structmd,'lowergrids'), md.mesh.lowervertex=structmd.lowergrids; end
+			if isfield(structmd,'gridonbed'), md.mesh.vertexonbed=structmd.gridonbed; end
+			if isfield(structmd,'gridonsurface'), md.mesh.vertexonsurface=structmd.gridonsurface; end
+			if isfield(structmd,'extractedgrids'), md.mesh.extractedvertices=structmd.extractedgrids; end
+			if isfield(structmd,'gridoniceshelf'), md.mask.vertexonfloatingice=structmd.gridoniceshelf; end
+			if isfield(structmd,'gridonicesheet'), md.mask.vertexongroundedice=structmd.gridonicesheet; end
+			if isfield(structmd,'gridonwater'), md.mask.vertexonwater=structmd.gridonwater; end
+			if isfield(structmd,'gridonboundary'), md.mesh.vertexonboundary=structmd.gridonboundary; end
+			if isfield(structmd,'petscoptions') & ~isempty(structmd.petscoptions), md.solver=structmd.petscoptions; end
+			if isfield(structmd,'g'), md.constants.g=structmd.g; end
+			if isfield(structmd,'yts'), md.constants.yts=structmd.yts; end
+			if isfield(structmd,'surface_mass_balance'), md.surfaceforcings.mass_balance=structmd.surface_mass_balance; end
+			if isfield(structmd,'basal_melting_rate'), md.basalforcings.melting_rate=structmd.basal_melting_rate; end
+			if isfield(structmd,'basal_melting_rate_correction'), md.basalforcings.melting_rate_correction=structmd.basal_melting_rate_correction; end
+			if isfield(structmd,'geothermalflux'), md.basalforcings.geothermalflux=structmd.geothermalflux; end
+			if isfield(structmd,'drag'), md.friction.coefficient=structmd.drag; end
+			if isfield(structmd,'drag_coefficient'), md.friction.coefficient=structmd.drag_coefficient; end
+			if isfield(structmd,'drag_p'), md.friction.p=structmd.drag_p; end
+			if isfield(structmd,'drag_q'), md.friction.q=structmd.drag_q; end
+			if isfield(structmd,'riftproperties'), %old implementation
+				md.rifts=rifts();
+				md.rifts.riftproperties=structmd.riftproperties; 
+				md.rifts.riftstruct=structmd.rifts;
+				md.rifts.riftproperties=structmd.riftinfo;
+			end
+			if isfield(structmd,'bamg'), md.private.bamg=structmd.bamg; end
+			if isfield(structmd,'lowmem'), md.settings.lowmem=structmd.lowmem; end
+			if isfield(structmd,'io_gather'), md.settings.io_gather=structmd.io_gather; end
+			if isfield(structmd,'spcwatercolumn'), md.hydrology.spcwatercolumn=structmd.spcwatercolumn; end
+			if isfield(structmd,'hydro_n'), md.hydrology.n=structmd.hydro_n; end
+			if isfield(structmd,'hydro_p'), md.hydrology.p=structmd.hydro_p; end
+			if isfield(structmd,'hydro_q'), md.hydrology.q=structmd.hydro_q; end
+			if isfield(structmd,'hydro_CR'), md.hydrology.CR=structmd.hydro_CR; end
+			if isfield(structmd,'hydro_kn'), md.hydrology.kn=structmd.hydro_kn; end
+			if isfield(structmd,'spctemperature'), md.thermal.spctemperature=structmd.spctemperature; end
+			if isfield(structmd,'min_thermal_constraints'), md.thermal.penalty_threshold=structmd.min_thermal_constraints; end
+			if isfield(structmd,'artificial_diffusivity'), md.thermal.stabilization=structmd.artificial_diffusivity; end
+			if isfield(structmd,'max_nonlinear_iterations'), md.thermal.maxiter=structmd.max_nonlinear_iterations; end
+			if isfield(structmd,'stabilize_constraints'), md.thermal.penalty_lock=structmd.stabilize_constraints; end
+			if isfield(structmd,'penalty_offset'), md.thermal.penalty_factor=structmd.penalty_offset; end
+			if isfield(structmd,'name'), md.miscellaneous.name=structmd.name; end
+			if isfield(structmd,'notes'), md.miscellaneous.notes=structmd.notes; end
+			if isfield(structmd,'dummy'), md.miscellaneous.dummy=structmd.dummy; end
+			if isfield(structmd,'dt'), md.timestepping.time_step=structmd.dt; end
+			if isfield(structmd,'ndt'), md.timestepping.final_time=structmd.ndt; end
+			if isfield(structmd,'time_adapt'), md.timestepping.time_adapt=structmd.time_adapt; end
+			if isfield(structmd,'cfl_coefficient'), md.timestepping.cfl_coefficient=structmd.cfl_coefficient; end
+			if isfield(structmd,'spcthickness'), md.prognostic.spcthickness=structmd.spcthickness; end
+			if isfield(structmd,'artificial_diffusivity'), md.prognostic.stabilization=structmd.artificial_diffusivity; end
+			if isfield(structmd,'hydrostatic_adjustment'), md.prognostic.hydrostatic_adjustment=structmd.hydrostatic_adjustment; end
+			if isfield(structmd,'penalties'), md.prognostic.vertex_pairing=structmd.penalties; end
+			if isfield(structmd,'penalty_offset'), md.prognostic.penalty_factor=structmd.penalty_offset; end
+			if isfield(structmd,'B'), md.materials.rheology_B=structmd.B; end
+			if isfield(structmd,'n'), md.materials.rheology_n=structmd.n; end
+			if isfield(structmd,'rheology_B'), md.materials.rheology_B=structmd.rheology_B; end
+			if isfield(structmd,'rheology_n'), md.materials.rheology_n=structmd.rheology_n; end
+			if isfield(structmd,'elementoniceshelf'), md.mask.elementonfloatingice=structmd.elementoniceshelf; end
+			if isfield(structmd,'elementonicesheet'), md.mask.elementongroundedice=structmd.elementonicesheet; end
+			if isfield(structmd,'elementonwater'), md.mask.elementonwater=structmd.elementonwater; end
+			if isfield(structmd,'nodeoniceshelf'), md.mask.vertexonfloatingice=structmd.nodeoniceshelf; end
+			if isfield(structmd,'nodeonicesheet'), md.mask.vertexongroundedice=structmd.nodeonicesheet; end
+			if isfield(structmd,'nodeonwater'), md.mask.vertexonwater=structmd.nodeonwater; end
+			if isfield(structmd,'spcthickness'), md.balancethickness.spcthickness=structmd.spcthickness; end
+			if isfield(structmd,'artificial_diffusivity'), md.balancethickness.stabilization=structmd.artificial_diffusivity; end
+			if isfield(structmd,'dhdt'), md.balancethickness.thickening_rate=structmd.dhdt; end
+			if isfield(structmd,'ismacayealpattyn'), md.flowequation.ismacayealpattyn=structmd.ismacayealpattyn; end
+			if isfield(structmd,'ishutter'), md.flowequation.ishutter=structmd.ishutter; end
+			if isfield(structmd,'isstokes'), md.flowequation.isstokes=structmd.isstokes; end
+			if isfield(structmd,'elements_type'), md.flowequation.element_equation=structmd.elements_type; end
+			if isfield(structmd,'vertices_type'), md.flowequation.vertex_equation=structmd.vertices_type; end
+			if isfield(structmd,'eps_rel'), md.steadystate.reltol=structmd.eps_rel; end
+			if isfield(structmd,'max_steadystate_iterations'), md.steadystate.maxiter=structmd.max_steadystate_iterations; end
+			if isfield(structmd,'isdiagnostic'), md.transient.isdiagnostic=structmd.isdiagnostic; end
+			if isfield(structmd,'isprognostic'), md.transient.isprognostic=structmd.isprognostic; end
+			if isfield(structmd,'isthermal'), md.transient.isthermal=structmd.isthermal; end
+			if isfield(structmd,'control_analysis'), md.inversion.iscontrol=structmd.control_analysis; end
+			if isfield(structmd,'weights'), md.inversion.cost_functions_coefficients=structmd.weights; end
+			if isfield(structmd,'nsteps'), md.inversion.nsteps=structmd.nsteps; end
+			if isfield(structmd,'maxiter_per_step'), md.inversion.maxiter_per_step=structmd.maxiter_per_step; end
+			if isfield(structmd,'cm_min'), md.inversion.min_parameters=structmd.cm_min; end
+			if isfield(structmd,'cm_max'), md.inversion.max_parameters=structmd.cm_max; end
+			if isfield(structmd,'vx_obs'), md.inversion.vx_obs=structmd.vx_obs; end
+			if isfield(structmd,'vy_obs'), md.inversion.vy_obs=structmd.vy_obs; end
+			if isfield(structmd,'vel_obs'), md.inversion.vel_obs=structmd.vel_obs; end
+			if isfield(structmd,'thickness_obs'), md.inversion.thickness_obs=structmd.thickness_obs; end
+			if isfield(structmd,'vx'), md.initialization.vx=structmd.vx; end
+			if isfield(structmd,'vy'), md.initialization.vy=structmd.vy; end
+			if isfield(structmd,'vz'), md.initialization.vz=structmd.vz; end
+			if isfield(structmd,'vel'), md.initialization.vel=structmd.vel; end
+			if isfield(structmd,'pressure'), md.initialization.pressure=structmd.pressure; end
+			if isfield(structmd,'temperature'), md.initialization.temperature=structmd.temperature; end
+			if isfield(structmd,'waterfraction'), md.initialization.waterfraction=structmd.waterfraction; end
+			if isfield(structmd,'watercolumn'), md.initialization.watercolumn=structmd.watercolumn; end
+			if isfield(structmd,'surface'), md.geometry.surface=structmd.surface; end
+			if isfield(structmd,'bed'), md.geometry.bed=structmd.bed; end
+			if isfield(structmd,'thickness'), md.geometry.thickness=structmd.thickness; end
+			if isfield(structmd,'bathymetry'), md.geometry.bathymetry=structmd.bathymetry; end
+			if isfield(structmd,'thickness_coeff'), md.geometry.hydrostatic_ratio=structmd.thickness_coeff; end
+			if isfield(structmd,'connectivity'), md.mesh.average_vertex_connectivity=structmd.connectivity; end
+			if isfield(structmd,'extractednodes'), md.mesh.extractedvertices=structmd.extractednodes; end
+			if isfield(structmd,'extractedelements'), md.mesh.extractedelements=structmd.extractedelements; end
+			if isfield(structmd,'nodeonboundary'), md.mesh.vertexonboundary=structmd.nodeonboundary; end
+			if isfield(structmd,'hemisphere'), md.mesh.hemisphere=structmd.hemisphere; end
+			if isfield(structmd,'lat'), md.mesh.lat=structmd.lat; end
+			if isfield(structmd,'long'), md.mesh.long=structmd.long; end
+			if isfield(structmd,'segments'), md.mesh.segments=structmd.segments; end
+			if isfield(structmd,'segmentmarkers'), md.mesh.segmentmarkers=structmd.segmentmarkers; end
+			if isfield(structmd,'dim'), md.mesh.dimension=structmd.dim; end
+			if isfield(structmd,'numlayers'), md.mesh.numberoflayers=structmd.numlayers; end
+			if isfield(structmd,'numberofelements'), md.mesh.numberofelements=structmd.numberofelements; end
+			if isfield(structmd,'numberofvertices'), md.mesh.numberofvertices=structmd.numberofvertices; end
+			if isfield(structmd,'numberofnodes'), md.mesh.numberofvertices=structmd.numberofnodes; end
+			if isfield(structmd,'numberofedges'), md.mesh.numberofedges=structmd.numberofedges; end
+			if isfield(structmd,'numberofelements2d'), md.mesh.numberofelements2d=structmd.numberofelements2d; end
+			if isfield(structmd,'numberofnodes2d'), md.mesh.numberofvertices2d=structmd.numberofnodes2d; end
+			if isfield(structmd,'nodeconnectivity'), md.mesh.vertexconnectivity=structmd.nodeconnectivity; end
+			if isfield(structmd,'elementconnectivity'), md.mesh.elementconnectivity=structmd.elementconnectivity; end
+			if isfield(structmd,'uppernodes'), md.mesh.uppervertex=structmd.uppernodes; end
+			if isfield(structmd,'lowernodes'), md.mesh.lowervertex=structmd.lowernodes; end
+			if isfield(structmd,'upperelements'), md.mesh.upperelements=structmd.upperelements; end
+			if isfield(structmd,'lowerelements'), md.mesh.lowerelements=structmd.lowerelements; end
+			if isfield(structmd,'elementonbed'), md.mesh.elementonbed=structmd.elementonbed; end
+			if isfield(structmd,'elementonsurface'), md.mesh.elementonsurface=structmd.elementonsurface; end
+			if isfield(structmd,'nodeonsurface'), md.mesh.vertexonsurface=structmd.nodeonsurface; end
+			if isfield(structmd,'nodeonbed'), md.mesh.vertexonbed=structmd.nodeonbed; end
+			if isfield(structmd,'elements2d'), md.mesh.elements2d=structmd.elements2d; end
+			if isfield(structmd,'y2d'), md.mesh.y2d=structmd.y2d; end
+			if isfield(structmd,'x2d'), md.mesh.x2d=structmd.x2d; end
+			if isfield(structmd,'elements'), md.mesh.elements=structmd.elements; end
+			if isfield(structmd,'edges'), md.mesh.edges=structmd.edges; end
+			if isfield(structmd,'y'), md.mesh.y=structmd.y; end
+			if isfield(structmd,'x'), md.mesh.x=structmd.x; end
+			if isfield(structmd,'z'), md.mesh.z=structmd.z; end
+			if isfield(structmd,'mask'), md.flaim.criterion=structmd.mask; end
+			if isfield(structmd,'pressureload'), md.diagnostic.icefront=structmd.pressureload; end
+			if isfield(structmd,'diagnostic_ref'), md.diagnostic.referential=structmd.diagnostic_ref; end
+			if isfield(structmd,'npart'); md.qmu.numberofpartitions=structmd.npart; end
+			if isfield(structmd,'part'); md.qmu.partition=structmd.part; end
+
+			%Field changes
+			if (isfield(structmd,'type') & ischar(structmd.type)), 
+				if strcmpi(structmd.type,'2d'), md.mesh.dimension=2; end
+				if strcmpi(structmd.type,'3d'), md.mesh.dimension=3; end
+			end
+			if isnumeric(md.verbose),
+				md.verbose=verbose;
+			end
+			if size(md.diagnostic.icefront,2)==3 || size(md.diagnostic.icefront,2)==5,
+				front=md.diagnostic.icefront;
+				md.diagnostic.icefront=[front 1*md.mask.elementonfloatingice(front(:,end))];
+			end
+			if isfield(structmd,'spcvelocity'), 
+				md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1);
+				md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1);
+				md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1);
+				pos=find(structmd.spcvelocity(:,1)); md.diagnostic.spcvx(pos)=structmd.spcvelocity(pos,4); 
+				pos=find(structmd.spcvelocity(:,2)); md.diagnostic.spcvy(pos)=structmd.spcvelocity(pos,5); 
+				pos=find(structmd.spcvelocity(:,3)); md.diagnostic.spcvz(pos)=structmd.spcvelocity(pos,6); 
+			end
+			if isfield(structmd,'spcvx'), 
+				md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1);
+				pos=find(~isnan(structmd.spcvx)); md.diagnostic.spcvx(pos)=structmd.spcvx(pos); 
+			end
+			if isfield(structmd,'spcvy'),
+				md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1);
+				pos=find(~isnan(structmd.spcvy)); md.diagnostic.spcvy(pos)=structmd.spcvy(pos);     
+			end
+			if isfield(structmd,'spcvz'),
+				md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1);
+				pos=find(~isnan(structmd.spcvz)); md.diagnostic.spcvz(pos)=structmd.spcvz(pos);     
+			end
+			if ~isempty(structmd.pressureload) & ismember(structmd.pressureload(end,end),[118 119 120]),
+				pos=find(structmd.pressureload(:,end)==120); md.diagnostic.icefront(pos,end)=0;
+				pos=find(structmd.pressureload(:,end)==118); md.diagnostic.icefront(pos,end)=1;
+				pos=find(structmd.pressureload(:,end)==119); md.diagnostic.icefront(pos,end)=2;
+			end
+			if isfield(structmd,'elements_type') & structmd.elements_type(end,end)>50,
+				pos=find(structmd.elements_type==59); md.flowequation.element_equation(pos,end)=0;
+				pos=find(structmd.elements_type==55); md.flowequation.element_equation(pos,end)=1;
+				pos=find(structmd.elements_type==56); md.flowequation.element_equation(pos,end)=2;
+				pos=find(structmd.elements_type==60); md.flowequation.element_equation(pos,end)=3;
+				pos=find(structmd.elements_type==62); md.flowequation.element_equation(pos,end)=4;
+				pos=find(structmd.elements_type==57); md.flowequation.element_equation(pos,end)=5;
+				pos=find(structmd.elements_type==58); md.flowequation.element_equation(pos,end)=6;
+				pos=find(structmd.elements_type==61); md.flowequation.element_equation(pos,end)=7;
+			end
+			if isfield(structmd,'vertices_type') & structmd.vertices_type(end,end)>50,
+				pos=find(structmd.vertices_type==59); md.flowequation.vertex_equation(pos,end)=0;
+				pos=find(structmd.vertices_type==55); md.flowequation.vertex_equation(pos,end)=1;
+				pos=find(structmd.vertices_type==56); md.flowequation.vertex_equation(pos,end)=2;
+				pos=find(structmd.vertices_type==60); md.flowequation.vertex_equation(pos,end)=3;
+				pos=find(structmd.vertices_type==62); md.flowequation.vertex_equation(pos,end)=4;
+				pos=find(structmd.vertices_type==57); md.flowequation.vertex_equation(pos,end)=5;
+				pos=find(structmd.vertices_type==58); md.flowequation.vertex_equation(pos,end)=6;
+				pos=find(structmd.vertices_type==61); md.flowequation.vertex_equation(pos,end)=7;
+			end
+			if isfield(structmd,'rheology_law') & isnumeric(structmd.rheology_law),
+				if (structmd.rheology_law==272), md.materials.rheology_law='None';      end
+				if (structmd.rheology_law==368), md.materials.rheology_law='Paterson';  end
+				if (structmd.rheology_law==369), md.materials.rheology_law='Arrhenius'; end
+			end
+			if isfield(structmd,'groundingline_migration') & isnumeric(structmd.groundingline_migration),
+				if (structmd.groundingline_migration==272), md.groundingline.migration='None';      end
+				if (structmd.groundingline_migration==273), md.groundingline.migration='AgressiveMigration';  end
+				if (structmd.groundingline_migration==274), md.groundingline.migration='SoftMigration'; end
+			end
+			if isfield(structmd,'control_type') & isnumeric(structmd.control_type),
+				if (structmd.control_type==143), md.inversion.control_parameters={'FrictionCoefficient'}; end
+				if (structmd.control_type==190), md.inversion.control_parameters={'RheologyBbar'}; end
+				if (structmd.control_type==147), md.inversion.control_parameters={'Thickeningrate'}; end
+			end
+			if isfield(structmd,'cm_responses') & ismember(structmd.cm_responses(end,end),[165:170 383 388 389]),
+				pos=find(structmd.cm_responses==166); md.inversion.cost_functions(pos)=101;
+				pos=find(structmd.cm_responses==167); md.inversion.cost_functions(pos)=102;
+				pos=find(structmd.cm_responses==168); md.inversion.cost_functions(pos)=103;
+				pos=find(structmd.cm_responses==169); md.inversion.cost_functions(pos)=104;
+				pos=find(structmd.cm_responses==170); md.inversion.cost_functions(pos)=105;
+				pos=find(structmd.cm_responses==165); md.inversion.cost_functions(pos)=201;
+				pos=find(structmd.cm_responses==389); md.inversion.cost_functions(pos)=501;
+				pos=find(structmd.cm_responses==388); md.inversion.cost_functions(pos)=502;
+				pos=find(structmd.cm_responses==382); md.inversion.cost_functions(pos)=503;
+			end
+
+			if isfield(structmd,'artificial_diffusivity') & structmd.artificial_diffusivity==2,
+					md.thermal.stabilization=2;
+					md.prognostic.stabilization=1;
+					md.balancethickness.stabilization=1;
+			end
+			if isnumeric(md.prognostic.hydrostatic_adjustment)
+				if md.prognostic.hydrostatic_adjustment==269,
+					md.prognostic.hydrostatic_adjustment='Incremental';
+				else
+					md.prognostic.hydrostatic_adjustment='Absolute';
+				end
+			end
+
+			%New fields
+			if ~isfield(structmd,'upperelements');
+				md.mesh.upperelements=transpose(1:md.mesh.numberofelements)+md.mesh.numberofelements2d;
+				md.mesh.upperelements(end-md.mesh.numberofelements2d+1:end)=NaN;
+			end
+			if ~isfield(structmd,'lowerelements');
+				md.mesh.lowerelements=transpose(1:md.mesh.numberofelements)-md.mesh.numberofelements2d;
+				md.mesh.lowerelements(1:md.mesh.numberofelements2d)=NaN;
+			end
+
+			if ~isfield(structmd,'diagnostic_ref');
+				md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6);
+			end
+
+		end% }}}
+		function md = setdefaultparameters(md) % {{{
+
+			%initialize subclasses
+			md.mesh             = mesh();
+			md.mask             = mask();
+			md.constants        = constants();
+			md.geometry         = geometry();
+			md.initialization   = initialization();
+			md.surfaceforcings  = surfaceforcings();
+			md.basalforcings    = basalforcings();
+			md.friction         = friction();
+			md.rifts            = rifts();
+			md.timestepping     = timestepping();
+			md.groundingline    = groundingline();
+			md.materials        = matice();
+			md.flowequation     = flowequation();
+			md.debug            = debug();
+			md.verbose          = verbose('solution',true,'qmu',true,'control',true);
+			md.settings         = settings();
+			md.solver           = solver();
+			if ismumps(),
+				md.solver           = addoptions(md.solver,DiagnosticVertAnalysisEnum(),mumpsoptions());
+			else
+				md.solver           = addoptions(md.solver,DiagnosticVertAnalysisEnum(),iluasmoptions());
+			end
+			md.cluster          = generic();
+			md.balancethickness = balancethickness();
+			md.diagnostic       = diagnostic();
+			md.hydrology        = hydrology();
+			md.prognostic       = prognostic();
+			md.thermal          = thermal();
+			md.steadystate      = steadystate();
+			md.transient        = transient();
+			md.autodiff         = autodiff();
+			md.flaim            = flaim();
+			md.inversion        = inversion();
+			md.qmu              = qmu();
+			md.radaroverlay     = radaroverlay();
+			md.results          = struct();
+			md.miscellaneous    = miscellaneous();
+			md.private          = private();
+		end
+		%}}}
+		function disp(obj) % {{{
+			disp(sprintf('%19s: %-22s -- %s','mesh'            ,['[1x1 ' class(obj.mesh) ']'],'mesh properties'));
+			disp(sprintf('%19s: %-22s -- %s','mask'            ,['[1x1 ' class(obj.mask) ']'],'defines grounded and floating elements'));
+			disp(sprintf('%19s: %-22s -- %s','geometry'        ,['[1x1 ' class(obj.geometry) ']'],'surface elevation, bedrock topography, ice thickness,...'));
+			disp(sprintf('%19s: %-22s -- %s','constants'       ,['[1x1 ' class(obj.constants) ']'],'physical constants'));
+			disp(sprintf('%19s: %-22s -- %s','surfaceforcings' ,['[1x1 ' class(obj.surfaceforcings) ']'],'surface forcings'));
+			disp(sprintf('%19s: %-22s -- %s','basalforcings'   ,['[1x1 ' class(obj.basalforcings) ']'],'bed forcings'));
+			disp(sprintf('%19s: %-22s -- %s','materials'       ,['[1x1 ' class(obj.materials) ']'],'material properties'));
+			disp(sprintf('%19s: %-22s -- %s','friction'        ,['[1x1 ' class(obj.friction) ']'],'basal friction/drag properties'));
+			disp(sprintf('%19s: %-22s -- %s','flowequation'    ,['[1x1 ' class(obj.flowequation) ']'],'flow equations'));
+			disp(sprintf('%19s: %-22s -- %s','timestepping'    ,['[1x1 ' class(obj.timestepping) ']'],'time stepping for transient models'));
+			disp(sprintf('%19s: %-22s -- %s','initialization'  ,['[1x1 ' class(obj.initialization) ']'],'initial guess/state'));
+			disp(sprintf('%19s: %-22s -- %s','rifts'           ,['[1x1 ' class(obj.rifts) ']'],'rifts properties'));
+			disp(sprintf('%19s: %-22s -- %s','debug'           ,['[1x1 ' class(obj.debug) ']'],'debugging tools (valgrind, gprof)'));
+			disp(sprintf('%19s: %-22s -- %s','verbose'         ,['[1x1 ' class(obj.verbose) ']'],'verbosity level in solve'));
+			disp(sprintf('%19s: %-22s -- %s','settings'        ,['[1x1 ' class(obj.settings) ']'],'settings properties'));
+			disp(sprintf('%19s: %-22s -- %s','solver'          ,['[1x1 ' class(obj.solver) ']'],'PETSc options for each solution'));
+			disp(sprintf('%19s: %-22s -- %s','cluster'         ,['[1x1 ' class(obj.cluster) ']'],'cluster parameters (number of cpus...)'));
+			disp(sprintf('%19s: %-22s -- %s','balancethickness',['[1x1 ' class(obj.balancethickness) ']'],'parameters for balancethickness solution'));
+			disp(sprintf('%19s: %-22s -- %s','diagnostic'      ,['[1x1 ' class(obj.diagnostic) ']'],'parameters for diagnostic solution'));
+			disp(sprintf('%19s: %-22s -- %s','groundingline'   ,['[1x1 ' class(obj.groundingline) ']'],'parameters for groundingline solution'));
+			disp(sprintf('%19s: %-22s -- %s','hydrology'       ,['[1x1 ' class(obj.hydrology) ']'],'parameters for hydrology solution'));
+			disp(sprintf('%19s: %-22s -- %s','prognostic'      ,['[1x1 ' class(obj.prognostic) ']'],'parameters for prognostic solution'));
+			disp(sprintf('%19s: %-22s -- %s','thermal'         ,['[1x1 ' class(obj.thermal) ']'],'parameters for thermal solution'));
+			disp(sprintf('%19s: %-22s -- %s','steadystate'     ,['[1x1 ' class(obj.steadystate) ']'],'parameters for steadystate solution'));
+			disp(sprintf('%19s: %-22s -- %s','transient'       ,['[1x1 ' class(obj.transient) ']'],'parameters for transient solution'));
+			disp(sprintf('%19s: %-22s -- %s','autodiff'        ,['[1x1 ' class(obj.autodiff) ']'],'automatic differentiation parameters'));
+			disp(sprintf('%19s: %-22s -- %s','flaim'           ,['[1x1 ' class(obj.flaim) ']'],'flaim parameters'));
+			disp(sprintf('%19s: %-22s -- %s','inversion'       ,['[1x1 ' class(obj.inversion) ']'],'parameters for inverse methods'));
+			disp(sprintf('%19s: %-22s -- %s','qmu'             ,['[1x1 ' class(obj.qmu) ']'],'dakota properties'));
+			disp(sprintf('%19s: %-22s -- %s','results'         ,['[1x1 ' class(obj.results) ']'],'model results'));
+			disp(sprintf('%19s: %-22s -- %s','radaroverlay'    ,['[1x1 ' class(obj.radaroverlay) ']'],'radar image for plot overlay'));
+			disp(sprintf('%19s: %-22s -- %s','miscellaneous'   ,['[1x1 ' class(obj.miscellaneous) ']'],'miscellaneous fields'));
+		end % }}}
+	end
  end
Index: /issm/trunk-jpl/src/m/classes/model/model.py
===================================================================
--- /issm/trunk-jpl/src/m/classes/model/model.py	(revision 13691)
+++ /issm/trunk-jpl/src/m/classes/model/model.py	(revision 13692)
@@ -170,4 +170,294 @@
 	# }}}
 
+	"""
+	function md2 = extract(md,area) % {{{
+		%extract - extract a model according to an Argus contour or flag list
+		%
+		%   This routine extracts a submodel from a bigger model with respect to a given contour
+		%   md must be followed by the corresponding exp file or flags list
+		%   It can either be a domain file (argus type, .exp extension), or an array of element flags. 
+		%   If user wants every element outside the domain to be 
+		%   extract2d, add '~' to the name of the domain file (ex: '~Pattyn.exp');
+		%   an empty string '' will be considered as an empty domain
+		%   a string 'all' will be considered as the entire domain
+		%   add an argument 0 if you do not want the elements to be checked (faster)
+		%
+		%   Usage:
+		%      md2=extract(md,area);
+		%
+		%   Examples:
+		%      md2=extract(md,'Domain.exp');
+		%      md2=extract(md,md.mask.elementonfloatingice);
+		%
+		%   See also: EXTRUDE, COLLAPSE
+
+		%copy model
+		md1=md;
+
+		%some checks
+		if ((nargin~=2) | (nargout~=1)),
+			help extract
+			error('extract error message: bad usage');
+		end
+
+		%get check option
+		if (nargin==3 & varargin{1}==0),
+			checkoutline=0;
+		else
+			checkoutline=1;
+		end
+
+		%get elements that are inside area
+		flag_elem=FlagElements(md1,area);
+		if ~any(flag_elem),
+			error('extracted model is empty');
+		end
+
+		%kick out all elements with 3 dirichlets
+		spc_elem=find(~flag_elem);
+		spc_node=sort(unique(md1.mesh.elements(spc_elem,:)));
+		flag=ones(md1.mesh.numberofvertices,1);
+		flag(spc_node)=0;
+		pos=find(sum(flag(md1.mesh.elements),2)==0);
+		flag_elem(pos)=0;
+
+		%extracted elements and nodes lists
+		pos_elem=find(flag_elem);
+		pos_node=sort(unique(md1.mesh.elements(pos_elem,:)));
+
+		%keep track of some fields
+		numberofvertices1=md1.mesh.numberofvertices;
+		numberofelements1=md1.mesh.numberofelements;
+		numberofvertices2=length(pos_node);
+		numberofelements2=length(pos_elem);
+		flag_node=zeros(numberofvertices1,1);
+		flag_node(pos_node)=1;
+
+		%Create Pelem and Pnode (transform old nodes in new nodes and same thing for the elements)
+		Pelem=zeros(numberofelements1,1);
+		Pelem(pos_elem)=[1:numberofelements2]';
+		Pnode=zeros(numberofvertices1,1);
+		Pnode(pos_node)=[1:numberofvertices2]';
+
+		%renumber the elements (some node won't exist anymore)
+		elements_1=md1.mesh.elements;
+		elements_2=elements_1(pos_elem,:);
+		elements_2(:,1)=Pnode(elements_2(:,1));
+		elements_2(:,2)=Pnode(elements_2(:,2));
+		elements_2(:,3)=Pnode(elements_2(:,3));
+		if md1.mesh.dimension==3,
+			elements_2(:,4)=Pnode(elements_2(:,4));
+			elements_2(:,5)=Pnode(elements_2(:,5));
+			elements_2(:,6)=Pnode(elements_2(:,6));
+		end
+
+		%OK, now create the new model !
+
+		%take every fields from model
+		md2=md1;
+
+		%automatically modify fields
+
+		%loop over model fields
+		model_fields=fields(md1);
+		for i=1:length(model_fields),
+			%get field
+			field=md1.(model_fields{i});
+			fieldsize=size(field);
+			if isobject(field), %recursive call
+				object_fields=fields(md1.(model_fields{i}));
+				for j=1:length(object_fields),
+					%get field
+					field=md1.(model_fields{i}).(object_fields{j});
+					fieldsize=size(field);
+					%size = number of nodes * n
+					if fieldsize(1)==numberofvertices1
+						md2.(model_fields{i}).(object_fields{j})=field(pos_node,:);
+					elseif (fieldsize(1)==numberofvertices1+1)
+						md2.(model_fields{i}).(object_fields{j})=[field(pos_node,:); field(end,:)];
+						%size = number of elements * n
+					elseif fieldsize(1)==numberofelements1
+						md2.(model_fields{i}).(object_fields{j})=field(pos_elem,:);
+					end
+				end
+			else
+				%size = number of nodes * n
+				if fieldsize(1)==numberofvertices1
+					md2.(model_fields{i})=field(pos_node,:);
+				elseif (fieldsize(1)==numberofvertices1+1)
+					md2.(model_fields{i})=[field(pos_node,:); field(end,:)];
+					%size = number of elements * n
+				elseif fieldsize(1)==numberofelements1
+					md2.(model_fields{i})=field(pos_elem,:);
+				end
+			end
+		end
+
+		%modify some specific fields
+
+		%Mesh
+		md2.mesh.numberofelements=numberofelements2;
+		md2.mesh.numberofvertices=numberofvertices2;
+		md2.mesh.elements=elements_2;
+
+		%mesh.uppervertex mesh.lowervertex
+		if md1.mesh.dimension==3
+			md2.mesh.uppervertex=md1.mesh.uppervertex(pos_node);
+			pos=find(~isnan(md2.mesh.uppervertex));
+			md2.mesh.uppervertex(pos)=Pnode(md2.mesh.uppervertex(pos));
+
+			md2.mesh.lowervertex=md1.mesh.lowervertex(pos_node);
+			pos=find(~isnan(md2.mesh.lowervertex));
+			md2.mesh.lowervertex(pos)=Pnode(md2.mesh.lowervertex(pos));
+
+			md2.mesh.upperelements=md1.mesh.upperelements(pos_elem);
+			pos=find(~isnan(md2.mesh.upperelements));
+			md2.mesh.upperelements(pos)=Pelem(md2.mesh.upperelements(pos));
+
+			md2.mesh.lowerelements=md1.mesh.lowerelements(pos_elem);
+			pos=find(~isnan(md2.mesh.lowerelements));
+			md2.mesh.lowerelements(pos)=Pelem(md2.mesh.lowerelements(pos));
+		end
+
+		%Initial 2d mesh 
+		if md1.mesh.dimension==3
+			flag_elem_2d=flag_elem(1:md1.mesh.numberofelements2d);
+			pos_elem_2d=find(flag_elem_2d);
+			flag_node_2d=flag_node(1:md1.mesh.numberofvertices2d);
+			pos_node_2d=find(flag_node_2d);
+
+			md2.mesh.numberofelements2d=length(pos_elem_2d);
+			md2.mesh.numberofvertices2d=length(pos_node_2d);
+			md2.mesh.elements2d=md1.mesh.elements2d(pos_elem_2d,:);
+			md2.mesh.elements2d(:,1)=Pnode(md2.mesh.elements2d(:,1));
+			md2.mesh.elements2d(:,2)=Pnode(md2.mesh.elements2d(:,2));
+			md2.mesh.elements2d(:,3)=Pnode(md2.mesh.elements2d(:,3));
+
+			md2.mesh.x2d=md1.mesh.x(pos_node_2d);
+			md2.mesh.y2d=md1.mesh.y(pos_node_2d);
+		end
+
+		%Edges
+		if size(md2.mesh.edges,2)>1, %do not use ~isnan because there are some NaNs...
+			%renumber first two columns
+			pos=find(md2.mesh.edges(:,4)~=-1);
+			md2.mesh.edges(:  ,1)=Pnode(md2.mesh.edges(:,1)); 
+			md2.mesh.edges(:  ,2)=Pnode(md2.mesh.edges(:,2)); 
+			md2.mesh.edges(:  ,3)=Pelem(md2.mesh.edges(:,3));
+			md2.mesh.edges(pos,4)=Pelem(md2.mesh.edges(pos,4));
+			%remove edges when the 2 vertices are not in the domain.
+			md2.mesh.edges=md2.mesh.edges(find(md2.mesh.edges(:,1) & md2.mesh.edges(:,2)),:);
+			%Replace all zeros by -1 in the last two columns;
+			pos=find(md2.mesh.edges(:,3)==0);
+			md2.mesh.edges(pos,3)=-1;
+			pos=find(md2.mesh.edges(:,4)==0);
+			md2.mesh.edges(pos,4)=-1;
+			%Invert -1 on the third column with last column (Also invert first two columns!!)
+			pos=find(md2.mesh.edges(:,3)==-1);
+			md2.mesh.edges(pos,3)=md2.mesh.edges(pos,4);
+			md2.mesh.edges(pos,4)=-1;
+			values=md2.mesh.edges(pos,2);
+			md2.mesh.edges(pos,2)=md2.mesh.edges(pos,1);
+			md2.mesh.edges(pos,1)=values;
+			%Finally remove edges that do not belong to any element
+			pos=find(md2.mesh.edges(:,3)==-1 & md2.mesh.edges(:,4)==-1);
+			md2.mesh.edges(pos,:)=[];
+		end
+
+		%Penalties
+		if ~isnan(md2.diagnostic.vertex_pairing),
+			for i=1:size(md1.diagnostic.vertex_pairing,1);
+				md2.diagnostic.vertex_pairing(i,:)=Pnode(md1.diagnostic.vertex_pairing(i,:));
+			end
+			md2.diagnostic.vertex_pairing=md2.diagnostic.vertex_pairing(find(md2.diagnostic.vertex_pairing(:,1)),:);
+		end
+		if ~isnan(md2.prognostic.vertex_pairing),
+			for i=1:size(md1.prognostic.vertex_pairing,1);
+				md2.prognostic.vertex_pairing(i,:)=Pnode(md1.prognostic.vertex_pairing(i,:));
+			end
+			md2.prognostic.vertex_pairing=md2.prognostic.vertex_pairing(find(md2.prognostic.vertex_pairing(:,1)),:);
+		end
+
+		%recreate segments
+		if md1.mesh.dimension==2
+			md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
+			md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
+			md2.mesh.segments=contourenvelope(md2);
+			md2.mesh.vertexonboundary=zeros(numberofvertices2,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
+		else
+			%First do the connectivity for the contourenvelope in 2d
+			md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements2d,md2.mesh.numberofvertices2d);
+			md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements2d,md2.mesh.vertexconnectivity);
+			md2.mesh.segments=contourenvelope(md2);
+			md2.mesh.vertexonboundary=zeros(numberofvertices2/md2.mesh.numberoflayers,1); md2.mesh.vertexonboundary(md2.mesh.segments(:,1:2))=1;
+			md2.mesh.vertexonboundary=repmat(md2.mesh.vertexonboundary,md2.mesh.numberoflayers,1);
+			%Then do it for 3d as usual
+			md2.mesh.vertexconnectivity=NodeConnectivity(md2.mesh.elements,md2.mesh.numberofvertices);
+			md2.mesh.elementconnectivity=ElementConnectivity(md2.mesh.elements,md2.mesh.vertexconnectivity);
+		end
+
+		%Boundary conditions: Dirichlets on new boundary
+		%Catch the elements that have not been extracted
+		orphans_elem=find(~flag_elem);
+		orphans_node=unique(md1.mesh.elements(orphans_elem,:))';
+		%Figure out which node are on the boundary between md2 and md1
+		nodestoflag1=intersect(orphans_node,pos_node);
+		nodestoflag2=Pnode(nodestoflag1);
+		if numel(md1.diagnostic.spcvx)>1 & numel(md1.diagnostic.spcvy)>2 & numel(md1.diagnostic.spcvz)>2,
+			if numel(md1.inversion.vx_obs)>1 & numel(md1.inversion.vy_obs)>1
+				md2.diagnostic.spcvx(nodestoflag2)=md2.inversion.vx_obs(nodestoflag2); 
+				md2.diagnostic.spcvy(nodestoflag2)=md2.inversion.vy_obs(nodestoflag2);
+			else
+				md2.diagnostic.spcvx(nodestoflag2)=NaN;
+				md2.diagnostic.spcvy(nodestoflag2)=NaN;
+				disp(' ')
+				disp('!! extract warning: spc values should be checked !!')
+				disp(' ')
+			end
+			%put 0 for vz
+			md2.diagnostic.spcvz(nodestoflag2)=0;
+		end
+		if ~isnan(md1.thermal.spctemperature),
+			md2.thermal.spctemperature(nodestoflag2,1)=1;
+		end
+
+		%Diagnostic
+		if ~isnan(md2.diagnostic.icefront)
+			md2.diagnostic.icefront(:,1)=Pnode(md1.diagnostic.icefront(:,1)); 
+			md2.diagnostic.icefront(:,2)=Pnode(md1.diagnostic.icefront(:,2)); 
+			md2.diagnostic.icefront(:,end-1)=Pelem(md1.diagnostic.icefront(:,end-1));
+			if md1.mesh.dimension==3
+				md2.diagnostic.icefront(:,3)=Pnode(md1.diagnostic.icefront(:,3)); 
+				md2.diagnostic.icefront(:,4)=Pnode(md1.diagnostic.icefront(:,4)); 
+			end
+			md2.diagnostic.icefront=md2.diagnostic.icefront(find(md2.diagnostic.icefront(:,1) & md2.diagnostic.icefront(:,2) & md2.diagnostic.icefront(:,end)),:);
+		end
+
+		%Results fields
+		if isstruct(md1.results),
+			md2.results=struct();
+			solutionfields=fields(md1.results);
+			for i=1:length(solutionfields),
+				%get subfields
+				solutionsubfields=fields(md1.results.(solutionfields{i}));
+				for j=1:length(solutionsubfields),
+					field=md1.results.(solutionfields{i}).(solutionsubfields{j});
+					if length(field)==numberofvertices1,
+						md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_node);
+					elseif length(field)==numberofelements1,
+						md2.results.(solutionfields{i}).(solutionsubfields{j})=field(pos_elem);
+					else
+						md2.results.(solutionfields{i}).(solutionsubfields{j})=field;
+					end
+				end
+			end
+		end
+
+		%Keep track of pos_node and pos_elem
+		md2.mesh.extractedvertices=pos_node;
+		md2.mesh.extractedelements=pos_elem;
+	end % }}}
+	"""
+
 	def extrude(md,*args):    # {{{
 		"""
