1 | /*!\file: solver_nonlinear.cpp
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2 | * \brief: core of a non-linear solution, using fixed-point method
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3 | */
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4 |
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5 | #include "../toolkits/toolkits.h"
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6 | #include "../classes/objects/objects.h"
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7 | #include "../io/io.h"
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8 | #include "../EnumDefinitions/EnumDefinitions.h"
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9 | #include "../modules/modules.h"
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10 | #include "../solutions/solutions.h"
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11 | #include "./solvers.h"
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12 |
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13 | void solver_newton(FemModel* femmodel){
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14 |
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15 | /*intermediary: */
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16 | bool converged;
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17 | int count,newton;
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18 | IssmDouble kmax;
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19 | Matrix<IssmDouble>* Kff = NULL;
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20 | Matrix<IssmDouble>* Kfs = NULL;
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21 | Matrix<IssmDouble>* Jff = NULL;
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22 | Vector<IssmDouble>* ug = NULL;
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23 | Vector<IssmDouble>* old_ug = NULL;
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24 | Vector<IssmDouble>* uf = NULL;
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25 | Vector<IssmDouble>* old_uf = NULL;
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26 | Vector<IssmDouble>* duf = NULL;
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27 | Vector<IssmDouble>* pf = NULL;
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28 | Vector<IssmDouble>* pJf = NULL;
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29 | Vector<IssmDouble>* df = NULL;
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30 | Vector<IssmDouble>* ys = NULL;
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31 |
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32 | /*parameters:*/
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33 | int max_nonlinear_iterations;
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34 | int configuration_type;
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35 |
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36 | /*Recover parameters: */
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37 | femmodel->parameters->FindParam(&max_nonlinear_iterations,DiagnosticMaxiterEnum);
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38 | femmodel->parameters->FindParam(&configuration_type,ConfigurationTypeEnum);
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39 | femmodel->parameters->FindParam(&newton,DiagnosticIsnewtonEnum);
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40 | femmodel->UpdateConstraintsx();
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41 |
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42 | count=1;
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43 | converged=false;
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44 |
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45 | /*Start non-linear iteration using input velocity: */
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46 | GetSolutionFromInputsx(&ug,femmodel->elements,femmodel->nodes,femmodel->vertices,femmodel->loads,femmodel->materials,femmodel->parameters);
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47 | Reducevectorgtofx(&uf,ug,femmodel->nodes,femmodel->parameters);
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48 |
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49 | //Update once again the solution to make sure that vx and vxold are similar (for next step in transient or steadystate)
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50 | InputUpdateFromConstantx(femmodel->elements,femmodel->nodes,femmodel->vertices,femmodel->loads,femmodel->materials,femmodel->parameters,converged,ConvergedEnum);
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51 | InputUpdateFromSolutionx(femmodel->elements,femmodel->nodes,femmodel->vertices,femmodel->loads,femmodel->materials,femmodel->parameters,ug);
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52 |
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53 | for(;;){
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54 |
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55 | delete old_ug;old_ug=ug;
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56 | delete old_uf;old_uf=uf;
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57 |
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58 | /*Solver forward model*/
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59 | if(count==1 || newton==2){
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60 | femmodel->SystemMatricesx(&Kff, &Kfs, &pf, &df, NULL);
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61 | CreateNodalConstraintsx(&ys,femmodel->nodes,configuration_type);
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62 | Reduceloadx(pf,Kfs,ys);delete Kfs;
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63 | Solverx(&uf,Kff,pf,old_uf,df,femmodel->parameters);delete df;
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64 | Mergesolutionfromftogx(&ug,uf,ys,femmodel->nodes,femmodel->parameters);delete ys;
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65 | InputUpdateFromSolutionx(femmodel->elements,femmodel->nodes,femmodel->vertices,femmodel->loads,femmodel->materials,femmodel->parameters,ug);delete ug;
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66 | delete old_ug;old_ug=ug;
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67 | delete old_uf;old_uf=uf;
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68 | }
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69 | uf=old_uf->Duplicate(); old_uf->Copy(uf);
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70 |
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71 | /*Prepare next iteration using Newton's method*/
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72 | femmodel->SystemMatricesx(&Kff, &Kfs, &pf, &df, NULL);delete df;
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73 | CreateNodalConstraintsx(&ys,femmodel->nodes,configuration_type);
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74 | Reduceloadx(pf,Kfs,ys);delete Kfs;
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75 |
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76 | pJf=pf->Duplicate();
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77 | Kff->MatMult(uf,pJf);// delete Kff);
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78 | pJf->Scale(-1.0); pJf->AXPY(pf,+1.0); //delete pf);
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79 |
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80 | femmodel->CreateJacobianMatrixx(&Jff,kmax);
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81 | Solverx(&duf,Jff,pJf,NULL,NULL,femmodel->parameters); delete Jff; delete pJf;
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82 | uf->AXPY(duf, 1.0); delete duf;
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83 | Mergesolutionfromftogx(&ug,uf,ys,femmodel->nodes,femmodel->parameters);delete ys;
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84 | InputUpdateFromSolutionx(femmodel->elements,femmodel->nodes,femmodel->vertices,femmodel->loads,femmodel->materials,femmodel->parameters,ug);
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85 |
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86 | /*Check convergence*/
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87 | convergence(&converged,Kff,pf,uf,old_uf,femmodel->parameters);
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88 | delete Kff; delete pf;
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89 | if(converged==true){
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90 | bool max_iteration_state=false;
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91 | int tempStep=1;
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92 | IssmDouble tempTime=1.0;
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93 | femmodel->results->AddObject(new GenericExternalResult<bool>(femmodel->results->Size()+1, MaxIterationConvergenceFlagEnum, max_iteration_state, tempStep, tempTime));
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94 | break;
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95 | }
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96 | if(count>=max_nonlinear_iterations){
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97 | _pprintLine_(" maximum number of Newton iterations (" << max_nonlinear_iterations << ") exceeded");
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98 | bool max_iteration_state=true;
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99 | int tempStep=1;
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100 | IssmDouble tempTime=1.0;
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101 | femmodel->results->AddObject(new GenericExternalResult<bool>(femmodel->results->Size()+1, MaxIterationConvergenceFlagEnum, max_iteration_state, tempStep, tempTime));
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102 | break;
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103 | }
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104 |
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105 | count++;
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106 | }
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107 |
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108 | if(VerboseConvergence()) _pprintLine_("\n total number of iterations: " << count-1);
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109 |
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110 | /*clean-up*/
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111 | delete uf;
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112 | delete ug;
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113 | delete old_ug;
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114 | delete old_uf;
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115 | }
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