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example_shell3D_DWR.cpp
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example_shell3D_DWR.cpp
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/** @file example_shell3D_DWR.cpp
@brief Examples of the DWR method for the isogeometric
Kirchhoff-Love shell
This file is part of the G+Smo library.
This Source Code Form is subject to the terms of the Mozilla Public
License, v. 2.0. If a copy of the MPL was not distributed with this
file, You can obtain one at http://mozilla.org/MPL/2.0/.
Author(s): H.M.Verhelst (2019 - ..., TU Delft)
*/
#include <iostream>
#include <fstream>
#include <gismo.h>
#include <gsKLShell/src/gsThinShellAssembler.h>
#include <gsKLShell/src/gsThinShellAssemblerDWR.h>
#include <gsKLShell/src/gsThinShellUtils.h>
#include <gsKLShell/src/getMaterialMatrix.h>
#include <gsAssembler/gsAdaptiveRefUtils.h>
#include <gsHSplines/gsHBox.h>
#include <gsHSplines/gsHBoxContainer.h>
#include <gsAssembler/gsAdaptiveMeshing.h>
#include <gsAssembler/gsAdaptiveMeshingUtils.h>
//#include <gsThinShell/gsNewtonIterator.h>
using namespace gismo;
int main(int argc, char *argv[])
{
//! [Parse command line]
bool plot = false;
bool write = false;
index_t numRefine = 1;
index_t numRefineIni = 0;
index_t numElevate = 1;
index_t goal = 1;
index_t component = 9;
bool nonlinear = false;
bool last = false;
std::string fn;
real_t E_modulus = 1;
real_t PoissonRatio = 0.3;
real_t thickness = 0.01;
int testCase = 0;
int adaptivity = 0;
std::string mesherOptionsFile("options/shell_mesher_options.xml");
gsCmdLine cmd("Tutorial on solving a Poisson problem.");
cmd.addInt( "e", "degreeElevation",
"Number of degree elevation steps to perform before solving (0: equalize degree in all directions)", numElevate );
cmd.addInt("R", "uniformRefine", "Number of Uniform h-refinement steps to perform before solving", numRefineIni);
cmd.addInt( "r", "refine", "Number of Uniform h-refinement steps to perform before solving", numRefine );
cmd.addInt("t", "testcase", "Test case: 0: plate with manufactured solution, 1: plate with point load", testCase);
cmd.addInt("A", "adaptivity", "Adaptivity scheme: 0) uniform refinement, 1) adaptive refinement, 2) adaptive refinement and coarsening", adaptivity);
cmd.addInt( "g", "goal", "Goal function to use, \n \
1: displacement,\n \
2: stretch,\n \
3: membrane strain,\n \
4: principal membrane strain,\n \
5: membrane stress,\n \
6: principal stress,\n \
7: membrane force,\n \
8: flexural strain,\n \
9: flexural stress,\n \
10: flexural moment,\n", goal );
cmd.addInt( "c", "comp", "Component of the goal function: 0: x, 1: y, 2: z, 9: norm", component );
cmd.addString( "f", "file", "Input XML file", fn );
cmd.addSwitch("nl", "Solve nonlinear problem", nonlinear);
cmd.addSwitch("plot", "Create a ParaView visualization file with the solution", plot);
cmd.addSwitch("write", "Write convergence to file", write);
cmd.addSwitch("last", "Only last refinement", last);
cmd.addString( "O", "mesherOpt", "Input XML file for mesher options", mesherOptionsFile );
try { cmd.getValues(argc,argv); } catch (int rv) { return rv; }
//! [Parse command line]
//! [Read input file]
gsMultiPatch<> mp;
gsMultiPatch<> mp_def;
real_t L = 1;
real_t B = 1;
if (testCase==0 || testCase==1)
{
// Unit square
mp.addPatch( gsNurbsCreator<>::BSplineSquare(1) ); // degree
mp.patch(0).coefs().col(0) *= L;
mp.patch(0).coefs().col(1) *= B;
mp.embed(3);
mp.addAutoBoundaries();
E_modulus = 1;
thickness = 0.01;
PoissonRatio = 0.3;
}
else
GISMO_ERROR("Testcase "<<testCase<<" unknown");
// p-refine
if (numElevate!=0)
mp.degreeElevate(numElevate);
gsMultiPatch<> mp_ex;
gsMultiBasis<> basisR;
if (testCase==0)
{
mp_ex = mp;
mp_ex.degreeElevate(2);
for (index_t r =0; r < std::max(std::min(numRefine,5),2); ++r)
mp_ex.uniformRefine();
basisR = gsMultiBasis<>(mp_ex);
}
// h-refine
if (last)
{
for (index_t r =0; r < numRefine; ++r)
mp.uniformRefine();
numRefine = 0;
}
// Cast all patches of the mp object to THB splines
if (adaptivity!=0)
{
gsTHBSpline<2,real_t> thb;
for (size_t k=0; k!=mp.nPatches(); ++k)
{
gsTensorBSpline<2,real_t> *geo = dynamic_cast< gsTensorBSpline<2,real_t> * > (&mp.patch(k));
thb = gsTHBSpline<2,real_t>(*geo);
gsMatrix<> bbox = geo->support();
for (index_t i = 0; i< numRefineIni; ++i)
thb.refineElements(thb.basis().asElements(bbox));
mp.patch(k) = thb;
}
}
else
{
for (index_t i = 0; i< numRefineIni; ++i)
mp.uniformRefine();
}
gsBoundaryConditions<> bc;
bc.setGeoMap(mp);
std::string fx, fy, fz;
fx = fy = fz = "0";
gsPointLoads<real_t> pLoads = gsPointLoads<real_t>();
// real_t load = 1e-5;
// gsFunctionExpr<> exact( "x","y","w:= 0; for (u := 1; u < 100; u += 2) { for (v := 1; v < 100; v += 2) { w += -16.0 * " + std::to_string(load) + " / ( pi^6*" + std::to_string(D) + " ) * 1 / (v * u * ( v^2 + u^2 )^2 ) * sin( v * pi * x) * sin(u * pi * y) } }",2);
real_t ampl;
gsMatrix<> points;
typename std::vector<patchSide> bContainer;
gsFunctionExpr<> neuData;
if (testCase == 0)
{
for (index_t i=0; i!=3; ++i)
{
bc.addCondition(boundary::north,condition_type::dirichlet, 0, 0, false, i );
bc.addCondition(boundary::east, condition_type::dirichlet, 0, 0, false, i );
bc.addCondition(boundary::south,condition_type::dirichlet, 0, 0, false, i );
bc.addCondition(boundary::west, condition_type::dirichlet, 0, 0, false, i );
}
bc.addCondition(boundary::north, condition_type::clamped, 0, 0, false, 2 ); // unknown 0 - x
bc.addCondition(boundary::east, condition_type::clamped, 0, 0, false, 2 ); // unknown 0 - x
bc.addCondition(boundary::south, condition_type::clamped, 0, 0, false, 2 ); // unknown 0 - x
bc.addCondition(boundary::west, condition_type::clamped, 0, 0, false, 2 ); // unknown 0 - x
ampl = 1e2;
char buffer[2000];
// sprintf(buffer,"-%e^3*%e*%e*pi^4*sin(pi*x)*sin(pi*y)/(3*%e^2 - 3)",thickness,E_modulus,ampl,PoissonRatio);
// // sprintf(buffer,"-2*%e^3*%e*%e/(3*%e^2 - 3)",thickness,E_modulus,ampl,PoissonRatio);
sprintf(buffer,"-6*%e*%e^3*%e*(x^4 - 2*x^3 + 12*(-1/2 + y)^2*x^2 + (-12*y^2 + 12*y - 2)*x + y^4 - 2*y^3 + 3*y^2 - 2*y + 1/3)/(3*%e^2 - 3)",ampl,thickness,E_modulus,PoissonRatio);
fz = buffer;
points.resize(2,0);
// bContainer.push_back(patchSide(0,4));
}
else if (testCase == 1)
{
for (index_t i=0; i!=3; ++i)
{
bc.addCondition(boundary::north,condition_type::dirichlet, 0, i );
bc.addCondition(boundary::east, condition_type::dirichlet, 0, i );
bc.addCondition(boundary::south,condition_type::dirichlet, 0, i );
bc.addCondition(boundary::west, condition_type::dirichlet, 0, i );
}
gsVector<> point(2); point<< 0.5, 0.5 ;
gsVector<> load (3); load << 0.0, 0.0, -1e-6 ;
pLoads.addLoad(point, load, 0 );
points.resize(2,1);
points.col(0) = point;
}
else
GISMO_ERROR("Test case "<<testCase<<" unknown");
gsSparseSolver<>::LU solver;
///////////////////////////////////////////////////////////////////////////////////////////////
// Find reference solution
if (testCase == 0)
{
char buffer[2000];
std::string ux = "0";
std::string uy = "0";
// sprintf(buffer,"%e*sin(pi*x)*sin(pi*y)",ampl);
// // sprintf(buffer,"%e*x*(x - 1)*y*(y - 1)",ampl);
sprintf(buffer,"%e*x^2*(x - 1)^2*y^2*(y - 1)^2",ampl);
std::string uz = buffer;
///////////////////////////////////////////////////////////////////////////////////////////////
gsFunctionExpr<> exact(ux,uy,uz,3);
gsField<> u_ex(mp,exact);
gsWriteParaview(u_ex,"exact");
typedef gsExprAssembler<>::geometryMap geometryMap;
typedef gsExprAssembler<>::space space;
typedef gsExprAssembler<>::solution solution;
gsExprAssembler<> A(1,1);
A.setIntegrationElements(basisR);
geometryMap G = A.getMap(mp);
space u = A.getSpace(basisR, 3);
u.setup(bc,dirichlet::interpolation,0);
auto function = A.getCoeff(exact, G);
A.initSystem();
A.assemble(u*u.tr()*meas(G),u * function*meas(G));
solver.compute(A.matrix());
gsMatrix<> result = solver.solve(A.rhs());
solution u_sol = A.getSolution(u, result);
gsMatrix<> cc;
for ( size_t k =0; k!=mp_ex.nPatches(); ++k) // Deform the geometry
{
// // extract deformed geometry
u_sol.extract(cc, k);
mp_ex.patch(k).coefs() += cc; // defG points to mp_def, therefore updated
}
}
else if (testCase == 1)
{
if (gsFileManager::fileExists("deformed_plate.xml"))
gsReadFile<>("deformed_plate.xml",mp_ex);
else
mp_ex = mp;
basisR = gsMultiBasis<>(mp_ex);
}
else if (testCase == 2)
{
if (gsFileManager::fileExists("corner_piece.xml"))
gsReadFile<>("corner_piece.xml",mp_ex);
else
mp_ex = mp;
basisR = gsMultiBasis<>(mp_ex);
}
else
GISMO_ERROR("Test case "<<testCase<<" unknown");
gsField<> ump_ex(mp,mp_ex);
gsWriteParaview(ump_ex,"mp_exact");
//! [Refinement]
gsFunctionExpr<> force(fx,fy,fz,3);
gsFunctionExpr<> t(std::to_string(thickness), 3);
gsFunctionExpr<> E(std::to_string(E_modulus),3);
gsFunctionExpr<> nu(std::to_string(PoissonRatio),3);
std::vector<gsFunctionSet<>*> parameters(2);
parameters[0] = &E;
parameters[1] = ν
gsMaterialMatrixBase<real_t>* materialMatrix;
gsOptionList options;
options.addInt("Material","Material model: (0): SvK | (1): NH | (2): NH_ext | (3): MR | (4): Ogden",0);
options.addInt("Implementation","Implementation: (0): Composites | (1): Analytical | (2): Generalized | (3): Spectral",1);
materialMatrix = getMaterialMatrix<3,real_t>(mp,t,parameters,options);
// Compute exact goal
gsThinShellAssemblerDWR<3,real_t,true> DWR2(mp,basisR,basisR,bc,force,materialMatrix);
if (goal==1)
DWR2.setGoal(GoalFunction::Displacement,component);
else if (goal==2)
DWR2.setGoal(GoalFunction::Stretch,component);
else if (goal==3)
DWR2.setGoal(GoalFunction::MembraneStrain,component);
else if (goal==4)
DWR2.setGoal(GoalFunction::PStrain,component);
else if (goal==5)
DWR2.setGoal(GoalFunction::MembraneStress,component);
else if (goal==6)
DWR2.setGoal(GoalFunction::PStress,component);
else if (goal==7)
DWR2.setGoal(GoalFunction::MembraneForce,component);
else if (goal==8)
DWR2.setGoal(GoalFunction::FlexuralStrain,component);
else if (goal==9)
DWR2.setGoal(GoalFunction::FlexuralStress,component);
else if (goal==10)
DWR2.setGoal(GoalFunction::FlexuralMoment,component);
else
GISMO_ERROR("Goal function unknown");
real_t exactGoal = 0;
exactGoal += DWR2.computeGoal(mp_ex);
exactGoal += DWR2.computeGoal(bContainer,mp_ex);
exactGoal += DWR2.computeGoal(points,mp_ex);
///////////////////////////////////////////////////////////////////////////////////////////////
std::vector<real_t> exacts(numRefine+1);
std::vector<real_t> approxs(numRefine+1);
std::vector<real_t> efficiencies(numRefine+1);
std::vector<real_t> numGoal(numRefine+1);
std::vector<real_t> estGoal(numRefine+1);
std::vector<real_t> exGoal(numRefine+1);
std::vector<real_t> DoFs(numRefine+1);
std::vector<real_t> hmins(numRefine+1);
gsVector<> solVector, updateVector;
gsMultiPatch<> primalL,dualL,dualH;
gsParaviewCollection collection("solution");
gsParaviewCollection indicator("indicator");
gsParaviewCollection errors("error_elem_ref");
std::vector<real_t> elErrors;
gsAdaptiveMeshing<real_t> mesher;
if (adaptivity!=0)
{
gsFileData<> fd_mesher(mesherOptionsFile);
gsOptionList mesherOpts;
fd_mesher.getFirst<gsOptionList>(mesherOpts);
mesher = gsAdaptiveMeshing<real_t>(mp);
mesher.options() = mesherOpts;
mesher.getOptions();
}
real_t cummImprovement;
for (index_t r=0; r!=numRefine+1; r++)
{
// -----------------------------------------------------------------------------------------
// ----------------------------Prepare basis------------------------------------------------
// -----------------------------------------------------------------------------------------
// Set bases
gsMultiBasis<> basisL(mp);
gsMultiBasis<> basisH = basisL;
basisH.degreeElevate(1);
gsInfo<<"Basis Primal: "<<basisL.basis(0)<<"\n";
gsInfo<<"Basis Dual: "<<basisH.basis(0)<<"\n";
gsThinShellAssemblerDWRBase<real_t> * DWR = new gsThinShellAssemblerDWR<3,real_t,true>(mp,basisL,basisH,bc,force,materialMatrix);
if (goal==1)
DWR->setGoal(GoalFunction::Displacement,component);
else if (goal==2)
DWR->setGoal(GoalFunction::Stretch,component);
else if (goal==3)
DWR->setGoal(GoalFunction::MembraneStrain,component);
else if (goal==4)
DWR->setGoal(GoalFunction::PStrain,component);
else if (goal==5)
DWR->setGoal(GoalFunction::MembraneStress,component);
else if (goal==6)
DWR->setGoal(GoalFunction::PStress,component);
else if (goal==7)
DWR->setGoal(GoalFunction::MembraneForce,component);
else if (goal==8)
DWR->setGoal(GoalFunction::FlexuralStrain,component);
else if (goal==9)
DWR->setGoal(GoalFunction::FlexuralStress,component);
else if (goal==10)
DWR->setGoal(GoalFunction::FlexuralMoment,component);
else
GISMO_ERROR("Goal function unknown");
DWR->setPointLoads(pLoads);
gsInfo << "Assembling primal... "<< std::flush;
DWR->assembleMatrixL();
DWR->assemblePrimalL();
gsInfo << "done\n";
gsInfo << "Solving primal, size ="<<DWR->matrixL().rows()<<","<<DWR->matrixL().cols()<<"... "<< std::flush;
solver.compute(DWR->matrixL());
solVector = solver.solve(DWR->primalL());
DWR->constructMultiPatchL(solVector,primalL);
DWR->constructSolutionL(solVector,mp_def);
if (testCase==2) gsWrite(mp_def,"corner");
gsInfo << "done.\n";
gsInfo << "Assembling dual vector (L)... "<< std::flush;
gsVector<> rhsL(DWR->numDofsL());
rhsL.setZero();
DWR->assembleDualL(primalL);
rhsL += DWR->dualL();
DWR->assembleDualL(bContainer,primalL);
rhsL += DWR->dualL();
DWR->assembleDualL(points,primalL);
rhsL += DWR->dualL();
gsInfo << "done.\n";
gsInfo << "Solving dual (L), size = "<<DWR->matrixL().rows()<<","<<DWR->matrixL().cols()<<"... "<< std::flush;
solVector = solver.solve(rhsL);
DWR->constructMultiPatchL(solVector,dualL);
gsInfo << "done.\n";
gsInfo << "Assembling dual matrix (H)... "<< std::flush;
DWR->assembleMatrixH();
gsInfo << "done.\n";
gsInfo << "Assembling dual vector (H)... "<< std::flush;
gsVector<> rhsH(DWR->numDofsH());
rhsH.setZero();
DWR->assembleDualH(primalL);
rhsH = DWR->dualH();
DWR->assembleDualH(bContainer,primalL);
rhsH += DWR->dualH();
DWR->assembleDualH(points,primalL);
rhsH += DWR->dualH();
gsInfo << "done.\n";
gsInfo << "Solving dual (H), size = "<<DWR->matrixH().rows()<<","<<DWR->matrixH().cols()<<"... "<< std::flush;
solver.compute(DWR->matrixH());
solVector = solver.solve(rhsH);
DWR->constructMultiPatchH(solVector,dualH);
gsInfo << "done.\n";
///////////////////////////////////////////////////////////////////////////////////////////////////////////////
if (plot)
{
gsField<> Def(mp,primalL, true);
std::string fileName = "solution" + util::to_string(r);
gsWriteParaview<>(Def, fileName, 5000, true);
fileName = "solution" + util::to_string(r) + "0";
collection.addTimestep(fileName,r,".vts");
collection.addTimestep(fileName,r,"_mesh.vtp");
}
real_t numError;
if (plot)
{
std::string fileName = "indicator" + util::to_string(r);
numError = DWR->computeError(dualL,dualH,false,fileName,5000,false,false);
fileName = "indicator" + util::to_string(r) + "0";
indicator.addTimestep(fileName,r,".vts");
}
else
numError = DWR->computeError(dualL,dualH);
typename gsBasis<real_t>::domainIter domIt = basisL.basis(0).makeDomainIterator();
real_t diam = domIt->getMinCellLength();
for (; domIt->good(); domIt->next())
diam = domIt->getMinCellLength() < diam ? domIt->getMinCellLength() : diam;
exacts[r] = 0;
numGoal[r] = DWR->computeGoal(mp_def)+DWR->computeGoal(bContainer,mp_def)+DWR->computeGoal(points,mp_def);
exGoal[r] = exactGoal;
// DoFs[r] = DWR->numDofsL();
DoFs[r] = basisL.basis(0).numElements();
// DoFs[r] = basisL.basis(0).size();
hmins[r] = diam;
exacts[r] += exactGoal;
exacts[r] -= numGoal[r];
approxs[r] = numError;
estGoal[r] = numGoal[r]+approxs[r];
efficiencies[r] = approxs[r]/exacts[r];
if (adaptivity==0)
{
mp.uniformRefine();
}
else if (adaptivity > 0)
{
gsFileData<> fd_mesher(mesherOptionsFile);
gsOptionList mesherOpts;
fd_mesher.getFirst<gsOptionList>(mesherOpts);
elErrors = DWR->computeErrorElements(dualL, dualH,true);
// Make container of the boxes
gsHBoxContainer<2,real_t> markRef, markCrs;
gsHBoxContainer<2,real_t> elts;
index_t c = 0;
real_t newError = 0;
real_t oldError = 0;
for (index_t p=0; p < mp.nPieces(); ++p)
{
// index_t p=0;
typename gsBasis<real_t>::domainIter domIt = mp.basis(p).makeDomainIterator();
gsHDomainIterator<real_t,2> * domHIt = nullptr;
domHIt = dynamic_cast<gsHDomainIterator<real_t,2> *>(domIt.get());
GISMO_ENSURE(domHIt!=nullptr,"Domain not loaded");
for (; domHIt->good(); domHIt->next())
{
gsHBox<2,real_t> box(domHIt,p);
box.setAndProjectError(elErrors[c],mesherOpts.getInt("Convergence_alpha"),mesherOpts.getInt("Convergence_beta"));
elts.add(box);
markRef.add(box);
oldError += box.error();
newError += box.projectedErrorRef();
c++;
}
}
gsElementErrorPlotter<real_t> err_eh(mp.basis(0),elErrors);
const gsField<> elemError_eh( mp.patch(0), err_eh, true );
gsWriteParaview<>( elemError_eh, "error_elem_ref" + util::to_string(r), 1000, true);
errors.addTimestep("error_elem_ref" + util::to_string(r) + "0",r,".vts");
errors.addTimestep("error_elem_ref" + util::to_string(r) + "0",r,"_mesh.vtp");
mesher.markRef_into(elErrors,markRef);
mesher.refine(markRef);
if (adaptivity>1)
{
mesher.markCrs_into(elErrors,markRef,markCrs);
mesher.refine(markRef);
mesher.unrefine(markCrs);
}
mesher.rebuild();
mp_def = mp;
}
else if (adaptivity < 0)
{
gsFileData<> fd_mesher(mesherOptionsFile);
gsOptionList mesherOpts;
fd_mesher.getFirst<gsOptionList>(mesherOpts);
elErrors = DWR->computeErrorElements(dualL, dualH);
for (std::vector<real_t>::iterator it = elErrors.begin(); it != elErrors.end(); it++)
{
*it = std::abs(*it);
}
gsElementErrorPlotter<real_t> err_eh(mp.basis(0),elErrors);
const gsField<> elemError_eh( mp.patch(0), err_eh, true );
gsWriteParaview<>( elemError_eh, "error_elem_ref" + util::to_string(r), 1000, true);
errors.addTimestep("error_elem_ref" + util::to_string(r) + "0",r,".vts");
errors.addTimestep("error_elem_ref" + util::to_string(r) + "0",r,"_mesh.vtp");
std::vector<bool> elMarked( elErrors.size() );
gsHBoxContainer<2,real_t> markRef, markCrs;
// Make container of the boxes
gsHBoxContainer<2,real_t> elts;
index_t c = 0;
for (index_t p=0; p < mp.nPieces(); ++p)
{
// index_t p=0;
typename gsBasis<real_t>::domainIter domIt = mp.basis(p).makeDomainIterator();
gsHDomainIterator<real_t,2> * domHIt = nullptr;
domHIt = dynamic_cast<gsHDomainIterator<real_t,2> *>(domIt.get());
GISMO_ENSURE(domHIt!=nullptr,"Domain not loaded");
for (; domHIt->good(); domHIt->next())
{
gsHBox<2,real_t> box(domHIt,p);
box.setAndProjectError(elErrors[c],mesherOpts.getInt("Convergence_alpha"),mesherOpts.getInt("Convergence_beta"));
elts.add(box);
c++;
}
}
typename gsHBoxContainer<2,real_t>::Container container = elts.toContainer();
typename gsHBoxContainer<2,real_t>::SortedContainer scontainer = gsHBoxUtils<2,real_t>::Sort(container);
gsWriteParaview(elts,"elts");
// --------------- adaptive refinement ---------------
cummImprovement = 0;
index_t index = std::rand()%container.size();
gsHBox<2,real_t> refbox = *std::next(container.begin(),index);
typename gsHBoxContainer<2,real_t>::HContainer hcontainer = gsHBoxUtils<2,real_t>::markAdmissible(refbox,2);
gsHBoxContainer<2,real_t>refined(hcontainer);
for (typename gsHBoxContainer<2,real_t>::HIterator hit = refined.begin(); hit!=refined.end(); hit++)
for (typename gsHBoxContainer<2,real_t>::Iterator it = hit->begin(); it!=hit->end(); it++)
{
auto pred = [it](auto b){return it->isSame(b);};
typename gsHBox<2,real_t>::SortedContainer::iterator found = std::find_if(scontainer.begin(),scontainer.end(),pred);
if (found!=scontainer.end())
cummImprovement += found->error()-found->projectedErrorRef();
else
GISMO_ERROR("Hi");
}
mesher.refine(refined);
gsWriteParaview(refined,"refined");
mesher.rebuild();
mp_def = mp;
}
delete DWR;
}
if (plot)
{
collection.save();
indicator.save();
errors.save();
}
gsInfo<<"-------------------------------------------------------------------------------------------------\n";
gsInfo<<"Ref.\tApprox \tExact \tEfficiency\tNumGoal \tEstGoal \texGoal \t#elements \thmin \tdApprox \n";
gsInfo<<"-------------------------------------------------------------------------------------------------\n";
for(index_t r=0; r!=numRefine+1; r++)
{
gsInfo <<std::setw(4 )<<std::left<<r<<"\t";
gsInfo <<std::setw(10)<<std::left<<approxs[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<exacts[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<efficiencies[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<numGoal[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<estGoal[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<exGoal[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<DoFs[r]<<"\t";
gsInfo <<std::setw(10)<<std::left<<hmins[r];
if (r>0)
gsInfo <<std::setw(10)<<std::left<<approxs[r-1]-approxs[r];
gsInfo <<"\n";
}
gsInfo<<"-------------------------------------------------------------------------------------------------\n";
if (write)
{
std::string filename;
filename = "example_shell3D_DWR_r" + std::to_string(numRefine) + "_e" + std::to_string(numElevate) + "_g" + std::to_string(goal) + "_C" + std::to_string(component);
filename = filename + ".csv";
std::ofstream file_out;
file_out.open (filename);
file_out<<"Ref,Approx,Exact,Efficiency,NumGoal,EstGoal,exGoal,DoFs,hmin\n";
for(index_t r=0; r!=numRefine+1; r++)
{
file_out<<r<<","<<approxs[r]<<","<<exacts[r]<<","<<efficiencies[r]<<","<<numGoal[r]<<","<<estGoal[r]<<","<<exGoal[r]<<","<<DoFs[r]<<","<<hmins[r]<<"\n";
}
file_out.close();
}
if (plot)
{
gsField<> fieldDL(mp, dualL);
gsField<> fieldDH(mp, dualH);
gsField<> fieldPL(mp, primalL);
gsWriteParaview<>( fieldDL, "dualL", 1000);
gsWriteParaview<>( fieldDH, "dualH", 1000);
gsWriteParaview<>( fieldPL, "primalL", 1000);
}
delete materialMatrix;
return EXIT_SUCCESS;
}// end main