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bem_gigi.cpp
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Wed, Apr 2, 05:22

bem_gigi.cpp
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/**
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Tamaas is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include <vector>
#include "surface.hh"
#include "bem_gigi.hh"
#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <sstream>
#include <cmath>
/* -------------------------------------------------------------------------- */
#define TIMER
#include "surface_timer.hh"
/* -------------------------------------------------------------------------- */
Real BemGigi::computeEquilibrium(Real epsilon,
Real mean_displacement) {
this->computeSpectralInfluenceOverDisplacement();
Real Rold = 1.;
//Real Gold=1.;
Real f = 1e300;
this->search_direction = 0.;
this->true_displacements =0;
this->true_displacements = mean_displacement;
this->computeGaps();
this->optimizeToMeanDisplacement(mean_displacement);
this->computeGaps();
std::cout << "moyenne deplacement "<< SurfaceStatistics::computeAverage(this->true_displacements, 0)<< std::endl;
convergence_iterations.clear();
nb_iterations = 0;
UInt crit2=10;
max_iterations =1000;
while (f> epsilon && nb_iterations++ < max_iterations) {
this->computeGaps();
this->functional->computeGradF();
Real R = this->functional->computeGradientNorm();
std::cout << "norme gradient "<< R << std::endl;
this->updateSearchDirection(R / Rold);
Rold = R;
Real alpha = this->computeOptimalStep();
std::cout << "alpha vaut "<< alpha<< std::endl;
this->old_displacements=this->true_displacements;
this->updateDisplacements(alpha);
std::cout << "moyenne deplacement "<< SurfaceStatistics::computeAverage(this->true_displacements, 0)<< std::endl;
this->computeGaps();
this->optimizeToMeanDisplacement(mean_displacement); //espace admissible
this->computeGaps();
this->computePressures(mean_displacement); //p=K-1*u
Real G=this->computeG();
G=0.;
// std::cout << "G vaut "<< G<< std::endl;
UInt inner_loop_cpt=0;
//Inner loop
while(G > 0. && inner_loop_cpt < crit2 ) {
++inner_loop_cpt;
this->computeGaps();
this->functional->computeGradF();
this->updateSearchDirection(R / Rold);
Real tau = this->computeTau();
//Gold = G;
this->updateDisplacementsB(tau);
this->computeGaps();
this->optimizeToMeanDisplacement(mean_displacement); //espace admissible
this->computePressures(mean_displacement); //p=K-1*u
this->computeGaps();
G = this->computeG();
std::cout << "G vaut "<< G<< std::endl;
}
f = computeStoppingCriterion();
if (nb_iterations % dump_freq == 0) {
std::cout << std::scientific << std::setprecision(10)
<< nb_iterations << " "
<< f << std::fixed << std::endl;
}
convergence_iterations.push_back(f);
// if(nb_iterations == 2) return 0;
}
this->computePressures(mean_displacement);
return f;
}
/* -------------------------------------------------------------------------- */
Real BemGigi::computeStoppingCriterion() {
Real crit=0.;
Real disp_norm = 0.;
UInt n = surface.size();
UInt size = n*n;
#pragma omp parallel for reduction(+:crit, disp_norm)
for (UInt i = 0; i < size; ++i) {
crit += ( this->old_displacements(i) - true_displacements(i))*(
this->old_displacements(i) - true_displacements(i));
disp_norm += (true_displacements(i)*true_displacements(i));
}
return crit / disp_norm;
}
/* -------------------------------------------------------------------------- */
Real BemGigi::computeG(){
STARTTIMER("computeG");
unsigned int n = surface.size();
unsigned int size = n*n;
Real res = 0.;
#pragma omp parallel for reduction(+: res)
for (unsigned int i = 0; i < size; ++i) {
if (this->gap(i) > 0) {
Real val = this->surface_tractions(i);
res += val*val;}
}
STOPTIMER("computeG");
return res;
}
/* -------------------------------------------------------------------------- */
void BemGigi::optimizeToMeanDisplacement(Real imposed_mean) {
Real target_value = imposed_mean - SurfaceStatistics::computeAverage(surface, 0);
UInt n = surface.size();
UInt size = n * n;
// Initial guesses for upper and lower bound
Real step_min = -10;
Real step_max = 10;
// Gaps for upper and lower bound
Real gap_min = positiveGapAverage(step_min);
Real gap_max = positiveGapAverage(step_max);
UInt max_expansion = 8;
// Expand bounds if necessary
for (UInt i = 0 ; gap_max < target_value && i < max_expansion ; i++, step_max *= 10)
gap_max = positiveGapAverage(step_max);
for (UInt i = 0 ; gap_min > target_value && i < max_expansion ; i++, step_min *= 10)
gap_min = positiveGapAverage(step_min);
Real g = 0.;
Real epsilon = 1e-12;
Real step = 0;
while (fabs(g - target_value) > epsilon) {
step = (step_min + step_max) / 2.;
g = positiveGapAverage(step);
if (g > target_value) step_max = step;
else if (g < target_value) step_min = step;
else {
step_max = step;
step_min = step;
}
}
step = (step_min + step_max) / 2.;
#pragma omp parallel for
for (UInt i = 0 ; i < size ; i++) {
gap(i) += step;
if (gap(i) < 0) gap(i) = 0;
true_displacements(i) = gap(i) + surface(i);
}
}
/* -------------------------------------------------------------------------- */
Real BemGigi::positiveGapAverage(Real shift) {
UInt n = surface.size();
Real res = 0;
#pragma omp parallel for reduction(+: res)
for (UInt i = 0 ; i < n * n ; i++) {
Real shifted_gap = gap(i) + shift;
res += shifted_gap * (shifted_gap > 0);
}
return res / (n * n);
}
/* -------------------------------------------------------------------------- */
void BemGigi::updateSearchDirection(Real factor) {
STARTTIMER("updateSearchDirection");
UInt n = surface.size();
UInt size = n*n;
Surface<Real> & gradF = this->functional->getGradF();
#pragma omp parallel for
for (UInt i = 0; i < size; ++i) {
// this->search_direction(i) *=factor;
this->search_direction(i) = gradF(i);
}
STOPTIMER("updateSearchDirection");
}
/* -------------------------------------------------------------------------- */
Real BemGigi::computeOptimalStep() {
STARTTIMER("computeOptimalStep");
search_direction.FFTTransform(spectral_search_direction, nthreads);
UInt n = surface.size();
UInt size = n*n;
spectral_search_direction(0) = 0;
#pragma omp parallel for
for (UInt i = 1; i < size; ++i) {
spectral_search_direction(i) /= this->surface_spectral_influence_disp(i);
}
// /!\ does not contain the spectral search direction anymore
spectral_search_direction.FFTITransform(nthreads);
// Real average = SurfaceStatistics::computeAverage(spectral_search_direction.real(), 0);
// spectral_search_direction -= average;
Surface<Real> & gradF = this->functional->getGradF();
Real numerator = 0., denominator = 0.;
#pragma omp parallel for reduction(+: numerator, denominator)
for (UInt i = 0; i < size; ++i) {
numerator += gradF(i) * search_direction(i);
denominator += spectral_search_direction(i).real() * search_direction(i);
}
Real alpha = numerator / denominator;
STOPTIMER("computeOptimalStep");
return alpha;
}
/* -------------------------------------------------------------------------- */
Real BemGigi::computeTau() {
STARTTIMER("computeOptimalStep");
search_direction.FFTTransform(spectral_search_direction, nthreads);
UInt n = surface.size();
UInt size = n*n;
spectral_search_direction(0) = 0;
#pragma omp parallel for
for (UInt i = 1; i < size; ++i) {
spectral_search_direction(i) /= this->surface_spectral_influence_disp(i);
}
// /!\ does not contain the spectral search direction anymore
spectral_search_direction.FFTITransform(nthreads);
// Real average = SurfaceStatistics::computeAverage(spectral_search_direction.real(), 0);
// spectral_search_direction -= average;
Surface<Real> & gradF = this->functional->getGradF();
Real numerator = 0., denominator = 0.;
#pragma omp parallel for reduction(+: numerator, denominator)
for (UInt i = 0; i < size; ++i) {
if (this->gap(i) > 0) {
numerator += gradF(i) * search_direction(i);
denominator += spectral_search_direction(i).real() * search_direction(i);}
}
Real tau = numerator / denominator;
STOPTIMER("computeOptimalStep");
return tau;
}
/* -------------------------------------------------------------------------- */
void BemGigi::updateDisplacements(Real alpha) {
STARTTIMER("updateDisplacements");
UInt n = surface.size();
UInt size = n*n;
#pragma omp parallel for
for (UInt i = 0; i < size; ++i) {
this->true_displacements(i) -= alpha*this->search_direction(i);
}
STOPTIMER("updateDisplacements");
}
/* -------------------------------------------------------------------------- */
void BemGigi::updateDisplacementsB(Real alpha) {
STARTTIMER("updateDisplacements");
UInt n = surface.size();
UInt size = n*n;
#pragma omp parallel for
for (UInt i = 0; i < size; ++i) {
if (this->gap(i)>0){
this->true_displacements(i) -= alpha*this->search_direction(i);
}
}
STOPTIMER("updateDisplacements");
}
/* -------------------------------------------------------------------------- */
void BemGigi::emptyOverlap() {
STARTTIMER("emptyoverlap");
UInt n = surface.size();
UInt size = n*n;
#pragma omp parallel for
for (UInt i = 0; i < size; ++i) {
if (gap(i) < 0)
this->true_displacements(i) = this->surface(i);
}
STOPTIMER("emptyoverlap");
}
/* -------------------------------------------------------------------------- */
void BemGigi::enforceMeanDisplacement(Real mean_displacement) {
STARTTIMER("enforceMeanDisplacement");
UInt n = surface.size();
UInt size = n*n;
Real average = SurfaceStatistics::computeAverage(this->true_displacements, 0);
Real factor = mean_displacement / average;
#pragma omp parallel for
for (UInt i = 0; i < size; ++i) {
this->true_displacements(i) *= factor;
}
STOPTIMER("enforceMeanDisplacement");
}
/* -------------------------------------------------------------------------- */
void BemGigi::computePressures(Real mean_displacement) {
UInt n = surface.size();
UInt size = n*n;
Real moy_surface=SurfaceStatistics::computeAverage(this->surface, 0);
this->true_displacements.FFTTransform(this->surface_spectral_tractions, nthreads);
this->surface_spectral_tractions(0) = 0;
#pragma omp parallel for
for (UInt i = 1 ; i < size ; ++i) {
this->surface_spectral_tractions(i) /= this->surface_spectral_influence_disp(i);
}
this->surface_spectral_tractions.FFTITransform(this->surface_tractions, nthreads);
Real true_pressure = 0.;
for (UInt i = 0 ; i < n * n ; i++) {
true_pressure+=this->surface_tractions(i)*(this->true_displacements(i)-mean_displacement-this->surface(i));
}
true_pressure/=(moy_surface*size-mean_displacement*size);
std::cout << "true_pressure "<< true_pressure << std::endl;
//this->surface_tractions += true_pressure;
}
/* -------------------------------------------------------------------------- */
void BemGigi::computeTruePressures(Real mean_displacement) {
this->computeGaps();
this->functional->computeGradF();
UInt n = gap.size();
//Orthogonalite
for (UInt i = 0 ; i < n * n ; i++) {
if (this->gap(i) > 0){
this->surface_tractions(i)=0;
}
}
}

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