fixedpointiterator.cc

#ifdef HAVE_CONFIG_H
#include "config.h"
#endif

#include <dune/common/exceptions.hh>

#include <dune/matrix-vector/axpy.hh>

#include <dune/solvers/norms/energynorm.hh>
#include <dune/solvers/solvers/loopsolver.hh>

#include <dune/contact/assemblers/nbodyassembler.hh>
#include <dune/contact/common/dualbasisadapter.hh>

#include <dune/localfunctions/lagrange/pqkfactory.hh>

#include <dune/functions/gridfunctions/gridfunction.hh>

#include <dune/geometry/quadraturerules.hh>
#include <dune/geometry/type.hh>
#include <dune/geometry/referenceelements.hh>

#include <dune/fufem/functions/basisgridfunction.hh>

#include "../data-structures/enums.hh"
#include "../data-structures/enumparser.hh"

#include "fixedpointiterator.hh"

#include "../utils/tobool.hh"
#include "../utils/debugutils.hh"


void FixedPointIterationCounter::operator+=(
    FixedPointIterationCounter const &other) {
  iterations += other.iterations;
  multigridIterations += other.multigridIterations;
}

template <class Factory, class NBodyAssembler, class Updaters, class ErrorNorm>
FixedPointIterator<Factory, NBodyAssembler, Updaters, ErrorNorm>::FixedPointIterator(
    Dune::ParameterTree const &parset,
    NBodyAssembler& nBodyAssembler,
    const IgnoreVector& ignoreNodes,
    GlobalFriction& globalFriction,
    const std::vector<const BitVector*>& bodywiseNonmortarBoundaries,
    const std::vector<const ErrorNorm* >& errorNorms)
    : parset_(parset),
      nBodyAssembler_(nBodyAssembler),
      ignoreNodes_(ignoreNodes),
      globalFriction_(globalFriction),
      bodywiseNonmortarBoundaries_(bodywiseNonmortarBoundaries),
      fixedPointMaxIterations_(parset.get<size_t>("v.fpi.maximumIterations")),
      fixedPointTolerance_(parset.get<double>("v.fpi.tolerance")),
      lambda_(parset.get<double>("v.fpi.lambda")),
      velocityMaxIterations_(parset.get<size_t>("v.solver.maximumIterations")),
      velocityTolerance_(parset.get<double>("v.solver.tolerance")),
      verbosity_(parset.get<Solver::VerbosityMode>("v.solver.verbosity")),
      errorNorms_(errorNorms) {}

template <class Factory, class NBodyAssembler, class Updaters, class ErrorNorm>
FixedPointIterationCounter
FixedPointIterator<Factory, NBodyAssembler, Updaters, ErrorNorm>::run(
    Updaters updaters, const std::vector<Matrix>& velocityMatrices, const std::vector<Vector>& velocityRHSs,
    std::vector<Vector>& velocityIterates) {

  const auto nBodies = nBodyAssembler_.nGrids();

  std::vector<const Matrix*> matrices_ptr(nBodies);
  for (size_t i=0; i<nBodies; i++) {
      matrices_ptr[i] = &velocityMatrices[i];
  }

  // assemble full global contact problem
  Matrix bilinearForm;
  nBodyAssembler_.assembleJacobian(matrices_ptr, bilinearForm);

  Vector totalRhs;
  nBodyAssembler_.assembleRightHandSide(velocityRHSs, totalRhs);

  Vector totalX;
  nBodyAssembler_.nodalToTransformed(velocityIterates, totalX);

  // get lower and upper obstacles
  const auto& totalObstacles = nBodyAssembler_.totalObstacles_;
  Vector lower(totalObstacles.size());
  Vector upper(totalObstacles.size());

  for (size_t j=0; j<totalObstacles.size(); ++j) {
      const auto& totalObstaclesj = totalObstacles[j];
      auto& lowerj = lower[j];
      auto& upperj = upper[j];
    for (size_t d=0; d<dims; ++d) {
        lowerj[d] = totalObstaclesj[d][0];
        upperj[d] = totalObstaclesj[d][1];
    }
  }

  // set up functional and TNMMG solver
  Functional J(bilinearForm, totalRhs, globalFriction_, lower, upper);
  Factory solverFactory(parset_.sub("solver.tnnmg"), J, ignoreNodes_);
  auto step = solverFactory.step();

  EnergyNorm<Matrix, Vector> energyNorm(bilinearForm);
  LoopSolver<Vector> velocityProblemSolver(step.get(), velocityMaxIterations_,
                                           velocityTolerance_, &energyNorm,
                                           verbosity_, false); // absolute error

  size_t fixedPointIteration;
  size_t multigridIterations = 0;
  std::vector<ScalarVector> alpha(nBodies);
  updaters.state_->extractAlpha(alpha);
  for (fixedPointIteration = 0; fixedPointIteration < fixedPointMaxIterations_;
       ++fixedPointIteration) {

    // contribution from nonlinearity
    globalFriction_.updateAlpha(alpha);

    Vector totalVelocityIterate;
    nBodyAssembler_.nodalToTransformed(velocityIterates, totalVelocityIterate);

    // solve a velocity problem
    step->setProblem(totalVelocityIterate);

    velocityProblemSolver.preprocess();
    velocityProblemSolver.solve();
    nBodyAssembler_.postprocess(totalVelocityIterate, velocityIterates);

    multigridIterations += velocityProblemSolver.getResult().iterations;

    std::vector<Vector> v_m;
    updaters.rate_->extractOldVelocity(v_m);

    for (size_t i=0; i<v_m.size(); i++) {
      v_m[i] *= 1.0 - lambda_;
      Dune::MatrixVector::addProduct(v_m[i], lambda_, velocityIterates[i]);
    }

    // extract relative velocities in mortar basis
    std::vector<Vector> v_rel;
    relativeVelocities(totalVelocityIterate, v_rel);

    // solve a state problem
    updaters.state_->solve(v_rel);
    std::vector<ScalarVector> newAlpha(nBodies);
    updaters.state_->extractAlpha(newAlpha);

    bool breakCriterion = true;
    for (size_t i=0; i<nBodies; i++) {
        if (errorNorms_[i]->diff(alpha[i], newAlpha[i]) >= fixedPointTolerance_) {
            breakCriterion = false;
            break;
        }
    }

    if (lambda_ < 1e-12 or breakCriterion) {
      fixedPointIteration++;
      break;
    }
    alpha = newAlpha;
  }

  if (fixedPointIteration == fixedPointMaxIterations_)
    DUNE_THROW(Dune::Exception, "FPI failed to converge");

  updaters.rate_->postProcess(velocityIterates);

  // Cannot use return { fixedPointIteration, multigridIterations };
  // with gcc 4.9.2, see also http://stackoverflow.com/a/37777814/179927
  FixedPointIterationCounter ret;
  ret.iterations = fixedPointIteration;
  ret.multigridIterations = multigridIterations;
  return ret;
}

std::ostream &operator<<(std::ostream &stream,
                         FixedPointIterationCounter const &fpic) {
  return stream << "(" << fpic.iterations << "," << fpic.multigridIterations
                << ")";
}

template <class Factory, class NBodyAssembler, class Updaters, class ErrorNorm>
void FixedPointIterator<Factory, NBodyAssembler, Updaters, ErrorNorm>::relativeVelocities(
    const Vector& v,
    std::vector<Vector>& v_rel) const {

    const size_t nBodies = nBodyAssembler_.nGrids();
   // const auto& contactCouplings = nBodyAssembler_.getContactCouplings();

    size_t globalIdx = 0;
    v_rel.resize(nBodies);
    for (size_t bodyIdx=0; bodyIdx<nBodies; bodyIdx++) {
        const auto& nonmortarBoundary = *bodywiseNonmortarBoundaries_[bodyIdx];
        auto& v_rel_ = v_rel[bodyIdx];

        v_rel_.resize(nonmortarBoundary.size());

        for (size_t i=0; i<v_rel_.size(); i++) {
            if (toBool(nonmortarBoundary[i])) {
                v_rel_[i] = v[globalIdx];
            }
            globalIdx++;
        }
    }


   /*
        boundaryNodes =

        const auto gridView = contactCouplings[couplingIndices[0]]->nonmortarBoundary().gridView();

        Dune::MultipleCodimMultipleGeomTypeMapper<
            decltype(gridView), Dune::MCMGVertexLayout> const vertexMapper(gridView, Dune::mcmgVertexLayout());

        for (auto it = gridView.template begin<block_size>(); it != gridView.template end<block_size>(); ++it) {
            const auto i = vertexMapper.index(*it);

            for (size_t j=0; j<couplingIndices.size(); j++) {
                const auto couplingIdx = couplingIndices[j];

                if (not contactCouplings[couplingIdx]->nonmortarBoundary().containsVertex(i))
                  continue;

                localToGlobal_.emplace_back(i);
                restrictions_.emplace_back(weights[bodyIdx][i], weightedNormalStress[bodyIdx][i],
                                          couplings[i]->frictionData()(geoToPoint(it->geometry())));
                break;
            }

            globalIdx++;
        }
        maxIndex_[bodyIdx] = globalIdx;
    }*/
}


#include "fixedpointiterator_tmpl.cc"