#include <config.h>
#include <dune/grid/onedgrid.hh>
#include <dune/grid/uggrid.hh>
#include <dune/istl/io.hh>
#include <dune/istl/solvers.hh>
#include <dune/grid/io/file/amirameshreader.hh>
#include <dune/grid/io/file/amirameshwriter.hh>
#include <dune/common/bitsetvector.hh>
#include <dune/common/parametertree.hh>
#include <dune/common/parametertreeparser.hh>
#include <dune/solvers/iterationsteps/multigridstep.hh>
#include <dune/solvers/solvers/loopsolver.hh>
#include <dune/solvers/iterationsteps/projectedblockgsstep.hh>
#ifdef HAVE_IPOPT
#include <dune/solvers/solvers/quadraticipopt.hh>
#endif
#include <dune/fufem/readbitfield.hh>
#include <dune/solvers/norms/energynorm.hh>
#include <dune/fufem/boundarypatch.hh>
#include <dune/fufem/boundarypatchprolongator.hh>
#include <dune/fufem/sampleonbitfield.hh>
#include <dune/fufem/computestress.hh>
#include <dune/fufem/functionspacebases/q1nodalbasis.hh>
#include <dune/fufem/assemblers/operatorassembler.hh>
#include <dune/fufem/assemblers/localassemblers/stvenantkirchhoffassembler.hh>
#include <dune/gfe/quaternion.hh>
#include <dune/gfe/rodassembler.hh>
#include <dune/gfe/rigidbodymotion.hh>
#include <dune/gfe/averageinterface.hh>
#include <dune/gfe/riemanniantrsolver.hh>
#include <dune/gfe/geodesicdifference.hh>
#include <dune/gfe/rodwriter.hh>
#include <dune/gfe/rodfactory.hh>
#include <dune/gfe/coupling/rodcontinuumcomplex.hh>
#include <dune/gfe/coupling/rodcontinuumfixedpointstep.hh>
#include <dune/gfe/coupling/rodcontinuumsteklovpoincarestep.hh>
// Space dimension
const int dim = 3;
using namespace Dune;
using std::string;
using std::vector;
// Some types that I need
//typedef BCRSMatrix<FieldMatrix<double, dim, dim> > OperatorType;
//typedef BlockVector<FieldVector<double, dim> > VectorType;
typedef vector<RigidBodyMotion<dim> > RodSolutionType;
typedef BlockVector<FieldVector<double, 6> > RodDifferenceType;
int main (int argc, char *argv[]) try
{
// Some types that I need
typedef BCRSMatrix<FieldMatrix<double, dim, dim> > MatrixType;
typedef BlockVector<FieldVector<double, dim> > VectorType;
// parse data file
ParameterTree parameterSet;
if (argc==2)
ParameterTreeParser::readINITree(argv[1], parameterSet);
else
ParameterTreeParser::readINITree("dirneucoupling.parset", parameterSet);
// read solver settings
const int numLevels = parameterSet.get<int>("numLevels");
string ddType = parameterSet.get<string>("ddType");
string preconditioner = parameterSet.get<string>("preconditioner");
const double ddTolerance = parameterSet.get<double>("ddTolerance");
const int maxDDIterations = parameterSet.get<int>("maxDirichletNeumannSteps");
const double damping = parameterSet.get<double>("damping");
const double trTolerance = parameterSet.get<double>("trTolerance");
const int maxTrustRegionSteps = parameterSet.get<int>("maxTrustRegionSteps");
const int trVerbosity = parameterSet.get<int>("trVerbosity");
const int multigridIterations = parameterSet.get<int>("numIt");
const int nu1 = parameterSet.get<int>("nu1");
const int nu2 = parameterSet.get<int>("nu2");
const int mu = parameterSet.get<int>("mu");
const int baseIterations = parameterSet.get<int>("baseIt");
const double mgTolerance = parameterSet.get<double>("mgTolerance");
const double baseTolerance = parameterSet.get<double>("baseTolerance");
const double initialTrustRegionRadius = parameterSet.get<double>("initialTrustRegionRadius");
string resultPath = parameterSet.get("resultPath", "");
// Problem settings
string path = parameterSet.get<string>("path");
string objectName = parameterSet.get<string>("gridFile");
string dirichletNodesFile = parameterSet.get<string>("dirichletNodes");
string dirichletValuesFile = parameterSet.get<string>("dirichletValues");
string interfaceNodesFile = parameterSet.get<string>("interfaceNodes");
const int numRodBaseElements = parameterSet.get<int>("numRodBaseElements");
double E = parameterSet.get<double>("E");
double nu = parameterSet.get<double>("nu");
// rod material parameters
double rodA = parameterSet.get<double>("rodA");
double rodJ1 = parameterSet.get<double>("rodJ1");
double rodJ2 = parameterSet.get<double>("rodJ2");
double rodE = parameterSet.get<double>("rodE");
double rodNu = parameterSet.get<double>("rodNu");
Dune::array<FieldVector<double,3>,2> rodRestEndPoint;
rodRestEndPoint[0] = parameterSet.get<FieldVector<double,3> >("rodRestEndPoint0");
rodRestEndPoint[1] = parameterSet.get<FieldVector<double,3> >("rodRestEndPoint1");
//////////////////////////////////////////////////////////////////
// Print the algorithm type so we have it in the log files
//////////////////////////////////////////////////////////////////
std::cout << "Algorithm: " << ddType << std::endl;
if (ddType=="RichardsonIteration")
std::cout << "Preconditioner: " << preconditioner << std::endl;
// ///////////////////////////////////////////////
// Create the rod grid and continuum grid
// ///////////////////////////////////////////////
typedef OneDGrid RodGridType;
typedef UGGrid<dim> GridType;
typedef BoundaryPatch<GridType::LevelGridView> LevelBoundaryPatch;
typedef BoundaryPatch<GridType::LeafGridView> LeafBoundaryPatch;
RodContinuumComplex<RodGridType,GridType> complex;
complex.rods_["rod"].grid_ = shared_ptr<RodGridType>
(new RodGridType(numRodBaseElements, 0, (rodRestEndPoint[1]-rodRestEndPoint[0]).two_norm()));
complex.continua_["continuum"].grid_ = shared_ptr<GridType>(AmiraMeshReader<GridType>::read(path + objectName));
complex.continua_["continuum"].grid_->setRefinementType(GridType::COPY);
// //////////////////////////////////////
// Globally refine grids
// //////////////////////////////////////
complex.rods_["rod"].grid_->globalRefine(numLevels-1);
complex.continua_["continuum"].grid_->globalRefine(numLevels-1);
RodSolutionType rodX(complex.rods_["rod"].grid_->size(1));
int toplevel = complex.rods_["rod"].grid_->maxLevel();
// //////////////////////////
// Initial solution
// //////////////////////////
RodFactory<RodGridType::LeafGridView> rodFactory(complex.rods_["rod"].grid_->leafView());
rodFactory.create(rodX, rodRestEndPoint[0], rodRestEndPoint[1]);
// /////////////////////////////////////////
// Determine rod Dirichlet values
// /////////////////////////////////////////
rodFactory.create(complex.rods_["rod"].dirichletValues_,
RigidBodyMotion<3>(FieldVector<double,3>(0), Rotation<3,double>::identity()));
BitSetVector<1> rodDNodes(complex.rods_["rod"].dirichletValues_.size(), false);
// we need at least one Dirichlet side
assert(parameterSet.hasKey("dirichletValue0") or parameterSet.hasKey("dirichletValue1"));
if (parameterSet.hasKey("dirichletValue0")){
RigidBodyMotion<3> dirichletValue;
dirichletValue.r = parameterSet.get("dirichletValue0", rodRestEndPoint[0]);
FieldVector<double,3> axis = parameterSet.get("dirichletAxis0", FieldVector<double,3>(0));
double angle = parameterSet.get("dirichletAngle0", double(0));
dirichletValue.q = Rotation<3,double>(axis, M_PI*angle/180);
rodX[0] = dirichletValue;
complex.rods_["rod"].dirichletValues_[0] = dirichletValue;
rodDNodes[0] = true;
}
if (parameterSet.hasKey("dirichletValue1")) {
RigidBodyMotion<3> dirichletValue;
dirichletValue.r = parameterSet.get("dirichletValue1", rodRestEndPoint[1]);
FieldVector<double,3> axis = parameterSet.get("dirichletAxis1", FieldVector<double,3>(0));
double angle = parameterSet.get("dirichletAngle1", double(0));
dirichletValue.q = Rotation<3,double>(axis, M_PI*angle/180);
rodX.back() = dirichletValue;
complex.rods_["rod"].dirichletValues_.back() = dirichletValue;
rodDNodes.back() = true;
}
complex.rods_["rod"].dirichletBoundary_.setup(complex.rods_["rod"].grid_->leafView(),rodDNodes);
// Backup initial rod iterate for later reference
RodSolutionType initialIterateRod = rodX;
// /////////////////////////////////////////////////////
// Determine the continuum Dirichlet nodes
// /////////////////////////////////////////////////////
VectorType coarseDirichletValues(complex.continua_["continuum"].grid_->size(0, dim));
AmiraMeshReader<GridType>::readFunction(coarseDirichletValues, path + dirichletValuesFile);
LevelBoundaryPatch coarseDirichletBoundary;
coarseDirichletBoundary.setup(complex.continua_["continuum"].grid_->levelView(0));
readBoundaryPatch<GridType>(coarseDirichletBoundary, path + dirichletNodesFile);
LeafBoundaryPatch dirichletBoundary(complex.continua_["continuum"].grid_->leafView());
BoundaryPatchProlongator<GridType>::prolong(coarseDirichletBoundary, dirichletBoundary);
complex.continua_["continuum"].dirichletBoundary_ = dirichletBoundary;
BitSetVector<dim> dirichletNodes( complex.continua_["continuum"].grid_->size(dim) );
for (int i=0; i<dirichletNodes.size(); i++)
dirichletNodes[i] = dirichletBoundary.containsVertex(i);
sampleOnBitField(*complex.continua_["continuum"].grid_,
coarseDirichletValues,
complex.continua_["continuum"].dirichletValues_,
dirichletNodes);
/////////////////////////////////////////////////////////////////////
// Create the two interface boundary patches
/////////////////////////////////////////////////////////////////////
std::pair<std::string,std::string> interfaceName = std::make_pair("rod", "continuum");
// first for the rod
BitSetVector<1> rodCouplingBitfield(rodX.size(),false);
/** \todo Using that index 0 is always the left boundary for a uniformly refined OneDGrid */
if (parameterSet.hasKey("dirichletValue1")) {
rodCouplingBitfield[0] = true;
} else
rodCouplingBitfield.back() = true;
complex.couplings_[interfaceName].rodInterfaceBoundary_.setup(complex.rods_["rod"].grid_->leafView(), rodCouplingBitfield);
// then for the continuum
LevelBoundaryPatch coarseInterfaceBoundary(complex.continua_["continuum"].grid_->levelView(0));
readBoundaryPatch<GridType>(coarseInterfaceBoundary, path + interfaceNodesFile);
BoundaryPatchProlongator<GridType>::prolong(coarseInterfaceBoundary, complex.couplings_[interfaceName].continuumInterfaceBoundary_);
// //////////////////////////////////////////
// Assemble 3d linear elasticity problem
// //////////////////////////////////////////
typedef P1NodalBasis<GridType::LeafGridView,double> FEBasis;
FEBasis basis(complex.continua_["continuum"].grid_->leafView());
OperatorAssembler<FEBasis,FEBasis> assembler(basis, basis);
StVenantKirchhoffAssembler<GridType, FEBasis::LocalFiniteElement, FEBasis::LocalFiniteElement> localAssembler(E, nu);
MatrixType stiffnessMatrix3d;
assembler.assemble(localAssembler, stiffnessMatrix3d);
// ////////////////////////////////////////////////////////////
// Create solution and rhs vectors
// ////////////////////////////////////////////////////////////
VectorType x3d(complex.continua_["continuum"].grid_->size(toplevel,dim));
VectorType rhs3d(complex.continua_["continuum"].grid_->size(toplevel,dim));
// No external forces
rhs3d = 0;
// Set initial solution
const VectorType& dirichletValues = complex.continua_["continuum"].dirichletValues_;
x3d = 0;
for (int i=0; i<x3d.size(); i++)
for (int j=0; j<dim; j++)
if (dirichletNodes[i][j])
x3d[i][j] = dirichletValues[i][j];
// ///////////////////////////////////////////
// Dirichlet nodes for the rod problem
// ///////////////////////////////////////////
BitSetVector<6> rodDirichletNodes(complex.rods_["rod"].grid_->size(1));
rodDirichletNodes.unsetAll();
rodDirichletNodes[0] = true;
rodDirichletNodes.back() = true;
// ///////////////////////////////////////////
// Create a solver for the rod problem
// ///////////////////////////////////////////
RodLocalStiffness<RodGridType::LeafGridView,double> rodLocalStiffness(complex.rods_["rod"].grid_->leafView(),
rodA, rodJ1, rodJ2, rodE, rodNu);
RodAssembler<RodGridType::LeafGridView,3> rodAssembler(complex.rods_["rod"].grid_->leafView(), &rodLocalStiffness);
RiemannianTrustRegionSolver<RodGridType,RigidBodyMotion<3> > rodSolver;
rodSolver.setup(*complex.rods_["rod"].grid_,
&rodAssembler,
rodX,
rodDirichletNodes,
trTolerance,
maxTrustRegionSteps,
initialTrustRegionRadius,
multigridIterations,
mgTolerance,
mu, nu1, nu2,
baseIterations,
baseTolerance,
false);
switch (trVerbosity) {
case 0:
rodSolver.verbosity_ = Solver::QUIET; break;
case 1:
rodSolver.verbosity_ = Solver::REDUCED; break;
default:
rodSolver.verbosity_ = Solver::FULL; break;
}
// ////////////////////////////////
// Create a multigrid solver
// ////////////////////////////////
// First create a gauss-seidel base solver
#ifdef HAVE_IPOPT
QuadraticIPOptSolver<MatrixType,VectorType> baseSolver;
#endif
baseSolver.verbosity_ = NumProc::QUIET;
baseSolver.tolerance_ = baseTolerance;
// Make pre and postsmoothers
BlockGSStep<MatrixType, VectorType> presmoother, postsmoother;
MultigridStep<MatrixType, VectorType> multigridStep(stiffnessMatrix3d, x3d, rhs3d, toplevel+1);
multigridStep.setMGType(mu, nu1, nu2);
multigridStep.ignoreNodes_ = &dirichletNodes;
multigridStep.basesolver_ = &baseSolver;
multigridStep.setSmoother(&presmoother, &postsmoother);
multigridStep.verbosity_ = Solver::QUIET;
EnergyNorm<MatrixType, VectorType> energyNorm(multigridStep);
shared_ptr< ::LoopSolver<VectorType> > solver = shared_ptr< ::LoopSolver<VectorType> >( new ::LoopSolver<VectorType>(&multigridStep,
// IPOpt doesn't like to be started in the solution
(numLevels!=1) ? multigridIterations : 1,
mgTolerance,
&energyNorm,
Solver::QUIET) );
// ////////////////////////////////////
// Create the transfer operators
// ////////////////////////////////////
for (int k=0; k<multigridStep.mgTransfer_.size(); k++)
delete(multigridStep.mgTransfer_[k]);
multigridStep.mgTransfer_.resize(toplevel);
for (int i=0; i<multigridStep.mgTransfer_.size(); i++){
CompressedMultigridTransfer<VectorType>* newTransferOp = new CompressedMultigridTransfer<VectorType>;
newTransferOp->setup(*complex.continua_["continuum"].grid_,i,i+1);
multigridStep.mgTransfer_[i] = newTransferOp;
}
// /////////////////////////////////////////////////////
// Dirichlet-Neumann Solver
// /////////////////////////////////////////////////////
RigidBodyMotion<3> referenceInterface = (parameterSet.hasKey("dirichletValue1"))
? rodX[0]
: rodX.back();
complex.couplings_[interfaceName].referenceInterface_ = referenceInterface;
// Init interface value
std::map<std::pair<std::string,std::string>, RigidBodyMotion<3> > lambda;
lambda[interfaceName] = referenceInterface;
///////////////////////////////////////////////////////////////////////////7
// make temporary directory for the intermediate iterates
///////////////////////////////////////////////////////////////////////////7
char tmpPathBuffer[1000];
sprintf(tmpPathBuffer, "tmp.XXXXXX");
char* tmpPathChar = mkdtemp(tmpPathBuffer);
assert(tmpPathChar);
std::string tmpPath(tmpPathChar);//resultPath + "tmp/";
tmpPath += "/";
std::cout << "tmp directory is: " << tmpPath << std::endl;
//
double normOfOldCorrection = 1;
int dnStepsActuallyTaken = 0;
for (int i=0; i<maxDDIterations; i++) {
std::cout << "----------------------------------------------------" << std::endl;
std::cout << " Domain-Decomposition- Step Number: " << i << std::endl;
std::cout << "----------------------------------------------------" << std::endl;
// Backup of the current iterate for the error computation later on
std::map<std::pair<std::string,std::string>, RigidBodyMotion<3> > oldLambda = lambda;
if (ddType=="FixedPointIteration") {
RodContinuumFixedPointStep<RodGridType,GridType> rodContinuumFixedPointStep(complex,
damping,
&rodAssembler,
&rodSolver,
&stiffnessMatrix3d,
solver);
rodContinuumFixedPointStep.rodSubdomainSolutions_["rod"] = rodX;
rodContinuumFixedPointStep.continuumSubdomainSolutions_["continuum"] = x3d;
rodContinuumFixedPointStep.iterate(lambda);
// get the subdomain solutions
rodX = rodContinuumFixedPointStep.rodSubdomainSolutions_["rod"];
x3d = rodContinuumFixedPointStep.continuumSubdomainSolutions_["continuum"];
} else if (ddType=="RichardsonIteration") {
Dune::array<double,2> alpha = parameterSet.get<array<double,2> >("NeumannNeumannDamping");
RodContinuumSteklovPoincareStep<RodGridType,GridType> rodContinuumSteklovPoincareStep(complex,
preconditioner,
alpha,
damping,
&rodAssembler,
&rodLocalStiffness,
&rodSolver,
&stiffnessMatrix3d,
solver,
&localAssembler);
rodContinuumSteklovPoincareStep.iterate(lambda);
// get the subdomain solutions
rodX = rodContinuumSteklovPoincareStep.rodSubdomainSolutions_["rod"];
x3d = rodContinuumSteklovPoincareStep.continuumSubdomainSolutions_["continuum"];
} else
DUNE_THROW(NotImplemented, ddType << " is not a known domain decomposition algorithm");
std::cout << "Lambda: " << lambda[interfaceName] << std::endl;
// ////////////////////////////////////////////////////////////////////////
// Write the two iterates to disk for later convergence rate measurement
// ////////////////////////////////////////////////////////////////////////
// First the 3d body
std::stringstream iAsAscii;
iAsAscii << i;
std::string iSolFilename = tmpPath + "intermediate3dSolution_" + iAsAscii.str();
LeafAmiraMeshWriter<GridType> amiraMeshWriter;
amiraMeshWriter.addVertexData(x3d, complex.continua_["continuum"].grid_->leafView());
amiraMeshWriter.write(iSolFilename);
// Then the rod
iSolFilename = tmpPath + "intermediateRodSolution_" + iAsAscii.str();
RodWriter::writeBinary(rodX, iSolFilename);
// ////////////////////////////////////////////
// Compute error in the energy norm
// ////////////////////////////////////////////
double lengthOfCorrection = RigidBodyMotion<3>::distance(oldLambda[interfaceName], lambda[interfaceName]);
double convRate = lengthOfCorrection / normOfOldCorrection;
normOfOldCorrection = lengthOfCorrection;
// Output
std::cout << "DD iteration: " << i << ", "
<< "interface correction: " << lengthOfCorrection << ", "
<< "convrate " << convRate << "\n";
dnStepsActuallyTaken = i;
if (lengthOfCorrection < ddTolerance)
break;
}
// //////////////////////////////////////////////////////////
// Recompute and compare against exact solution
// //////////////////////////////////////////////////////////
VectorType exactSol3d = x3d;
RodSolutionType exactSolRod = rodX;
// //////////////////////////////////////////////////////////
// Compute hessian of the rod functional at the exact solution
// for use of the energy norm it creates.
// //////////////////////////////////////////////////////////
BCRSMatrix<FieldMatrix<double, 6, 6> > hessianRod;
MatrixIndexSet indices(exactSolRod.size(), exactSolRod.size());
rodAssembler.getNeighborsPerVertex(indices);
indices.exportIdx(hessianRod);
rodAssembler.assembleMatrix(exactSolRod, hessianRod);
double error = std::numeric_limits<double>::max();
double oldError = 0;
VectorType intermediateSol3d(x3d.size());
RodSolutionType intermediateSolRod(rodX.size());
// Compute error of the initial 3d solution
// This should really be exactSol-initialSol, but we're starting
// from zero anyways
oldError += EnergyNorm<MatrixType,VectorType>::normSquared(exactSol3d, stiffnessMatrix3d);
// Error of the initial rod iterate
RodDifferenceType rodDifference = computeGeodesicDifference(initialIterateRod, exactSolRod);
oldError += EnergyNorm<BCRSMatrix<FieldMatrix<double,6,6> >,RodDifferenceType>::normSquared(rodDifference, hessianRod);
oldError = std::sqrt(oldError);
// Store the history of total conv rates so we can filter out numerical
// dirt in the end.
std::vector<double> totalConvRate(maxDDIterations+1);
totalConvRate[0] = 1;
double oldConvRate = 100;
bool firstTime = true;
std::stringstream levelAsAscii, dampingAsAscii;
levelAsAscii << numLevels;
dampingAsAscii << damping;
std::string filename = resultPath + "convrate_" + levelAsAscii.str() + "_" + dampingAsAscii.str();
int i;
for (i=0; i<dnStepsActuallyTaken; i++) {
// /////////////////////////////////////////////////////
// Read iteration from file
// /////////////////////////////////////////////////////
// Read 3d solution from file
std::stringstream iAsAscii;
iAsAscii << i;
std::string iSolFilename = tmpPath + "intermediate3dSolution_" + iAsAscii.str();
AmiraMeshReader<GridType>::readFunction(intermediateSol3d, iSolFilename);
// Read rod solution from file
iSolFilename = tmpPath + "intermediateRodSolution_" + iAsAscii.str();
FILE* fpInt = fopen(iSolFilename.c_str(), "rb");
if (!fpInt)
DUNE_THROW(IOError, "Couldn't open intermediate solution '" << iSolFilename << "'");
for (int j=0; j<intermediateSolRod.size(); j++) {
fread(&intermediateSolRod[j].r, sizeof(double), dim, fpInt);
fread(&intermediateSolRod[j].q, sizeof(double), 4, fpInt);
}
fclose(fpInt);
// /////////////////////////////////////////////////////
// Compute error
// /////////////////////////////////////////////////////
VectorType solBackup0 = intermediateSol3d;
solBackup0 -= exactSol3d;
RodDifferenceType rodDifference = computeGeodesicDifference(exactSolRod, intermediateSolRod);
error = std::sqrt(EnergyNorm<MatrixType,VectorType>::normSquared(solBackup0, stiffnessMatrix3d)
+
EnergyNorm<BCRSMatrix<FieldMatrix<double,6,6> >,RodDifferenceType>::normSquared(rodDifference, hessianRod));
double convRate = error / oldError;
totalConvRate[i+1] = totalConvRate[i] * convRate;
// Output
std::cout << "DD iteration: " << i << " error : " << error << ", "
<< "convrate " << convRate
<< " total conv rate " << std::pow(totalConvRate[i+1], 1/((double)i+1)) << std::endl;
// Convergence rates tend to stay fairly constant after a few initial iterates.
// Only when we hit numerical dirt are they starting to wiggle around wildly.
// We use this to detect 'the' convergence rate as the last averaged rate before
// we hit the dirt.
if (convRate > oldConvRate + 0.15 && i > 5 && firstTime) {
std::cout << "Damping: " << damping
<< " convRate: " << std::pow(totalConvRate[i], 1/((double)i))
<< std::endl;
std::ofstream convRateFile(filename.c_str());
convRateFile << damping << " "
<< std::pow(totalConvRate[i], 1/((double)i))
<< std::endl;
firstTime = false;
}
if (error < 1e-12)
break;
oldError = error;
oldConvRate = convRate;
}
// Convergence without dirt: write the overall convergence rate now
if (firstTime) {
int backTrace = std::min(size_t(4),totalConvRate.size());
std::cout << "Damping: " << damping
<< " convRate: " << std::pow(totalConvRate[i+1-backTrace], 1/((double)i+1-backTrace))
<< std::endl;
std::ofstream convRateFile(filename.c_str());
convRateFile << damping << " "
<< std::pow(totalConvRate[i+1-backTrace], 1/((double)i+1-backTrace))
<< std::endl;
}
// //////////////////////////////
// Delete temporary memory
// //////////////////////////////
std::string removeTmpCommand = "rm -rf " + tmpPath;
system(removeTmpCommand.c_str());
// //////////////////////////////
// Output result
// //////////////////////////////
LeafAmiraMeshWriter<GridType> amiraMeshWriter(*complex.continua_["continuum"].grid_);
amiraMeshWriter.addVertexData(x3d, complex.continua_["continuum"].grid_->leafView());
BlockVector<FieldVector<double,1> > stress;
Stress<GridType>::getStress(*complex.continua_["continuum"].grid_, x3d, stress, E, nu);
amiraMeshWriter.addCellData(stress, complex.continua_["continuum"].grid_->leafView());
amiraMeshWriter.write(resultPath + "grid.result");
writeRod(rodX, resultPath + "rod3d.result");
} catch (Exception e) {
std::cout << e << std::endl;
}