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knuppOptProblem.cpp
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knuppOptProblem.cpp
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#include <gismo.h>
#include <fstream>
#include "knuppOptProblem.h"
#include "IpOptSparseMatrix.h"
using namespace gismo;
real_t knuppOptProblem::evaluateOnPatch(index_t i) const{
gsMultiPatch<> singlePatch(mp->patch(i));
gsExprAssembler<> A(1,1);
gsMultiBasis<> dbasis(singlePatch);
A.setIntegrationElements(dbasis);
gsExprEvaluator<> ev(A);
//gsInfo<<"Active options:\n"<< A.options() <<"\n";
typedef gsExprAssembler<>::geometryMap geometryMap;
typedef gsExprAssembler<>::variable variable;
typedef gsExprAssembler<>::space space;
typedef gsExprAssembler<>::solution solution;
geometryMap G = A.getMap(singlePatch);
gsFunctionExpr<> x("x",2);
gsFunctionExpr<> y("y",2);
variable fx = ev.getVariable(x);
variable fy = ev.getVariable(y);
auto j00 = grad(fx)*jac(G)*grad(fx).tr();
auto j10 = grad(fy)*jac(G)*grad(fx).tr();
auto j01 = grad(fx)*jac(G)*grad(fy).tr();
auto j11 = grad(fy)*jac(G)*grad(fy).tr();
auto g11 = j00*j00 + j10*j10;
auto g12 = j00*j01 + j10*j11;
auto g22 = j01*j01 + j11*j11;
gsJacDetField<real_t> jacDetField(mp->patch(i));
variable detJ = ev.getVariable(jacDetField);
auto detJ2 = detJ*detJ;
return ev.integral(k_A*detJ2 + k_O*g12*g12);
}
void knuppOptProblem::evaluateDerivOnPatch(index_t i, gsVector<> &xVec, gsVector<> &yVec) const{
gsMultiPatch<> singlePatch(mp->patch(i));
gsExprAssembler<> A(1,1);
gsMultiBasis<> dbasis(singlePatch);
A.setIntegrationElements(dbasis);
gsExprEvaluator<> ev(A);
//gsInfo<<"Active options:\n"<< A.options() <<"\n";
typedef gsExprAssembler<>::geometryMap geometryMap;
typedef gsExprAssembler<>::variable variable;
typedef gsExprAssembler<>::space space;
typedef gsExprAssembler<>::solution solution;
geometryMap G = A.getMap(singlePatch);
space u = A.getSpace(dbasis);
A.initSystem();
gsFunctionExpr<> x("x",2);
gsFunctionExpr<> y("y",2);
variable fx = A.getCoeff(x);
variable fy = A.getCoeff(y);
auto j00 = fjac(fx).tr()*jac(G)*fjac(fx);
auto j10 = fjac(fy).tr()*jac(G)*fjac(fx);
auto j01 = fjac(fx).tr()*jac(G)*fjac(fy);
auto j11 = fjac(fy).tr()*jac(G)*fjac(fy);
auto g11 = j00*j00 + j10*j10;
auto g12 = j00*j01 + j10*j11;
auto g22 = j01*j01 + j11*j11;
auto uxi = grad(u)*fjac(fx);
auto ueta = grad(u)*fjac(fy);
gsJacDetField<real_t> jacDetField(mp->patch(i));
variable detJ = ev.getVariable(jacDetField);
auto d_detJ_dcx = uxi*j11 - ueta*j10 ;
auto d_detJ2_dcx = 2*d_detJ_dcx*detJ;
auto d_g12_dcx = uxi*j01 + ueta*j00;
auto d_g12m2_dcx = 2*d_g12_dcx*g12;
A.assemble(k_A*d_detJ2_dcx + k_O*d_g12m2_dcx);
xVec = A.rhs();
A.initSystem();
auto d_detJ_dcy = ueta*j00 - uxi*j01 ;
auto d_detJ2_dcy = 2*d_detJ_dcy*detJ;
auto d_g12_dcy = uxi*j11 + ueta*j10;
auto d_g12m2_dcy = 2*d_g12_dcy*g12;
A.assemble(k_A*d_detJ2_dcy + k_O*d_g12m2_dcy);
yVec = A.rhs();
}
void knuppOptProblem::evaluate2ndDerivOnPatch(index_t i, gsMatrix<> &xxMat, gsMatrix<> &xyMat, gsMatrix<> &yyMat) const{
gsMultiPatch<> singlePatch(mp->patch(i));
gsExprAssembler<> A(1,1);
gsMultiBasis<> dbasis(singlePatch);
A.setIntegrationElements(dbasis);
gsExprEvaluator<> ev(A);
//gsInfo<<"Active options:\n"<< A.options() <<"\n";
typedef gsExprAssembler<>::geometryMap geometryMap;
typedef gsExprAssembler<>::variable variable;
typedef gsExprAssembler<>::space space;
typedef gsExprAssembler<>::solution solution;
geometryMap G = A.getMap(singlePatch);
space u = A.getSpace(dbasis);
A.initSystem();
gsFunctionExpr<> x("x",2);
gsFunctionExpr<> y("y",2);
variable fx = A.getCoeff(x);
variable fy = A.getCoeff(y);
auto j00 = fjac(fx).tr()*jac(G)*fjac(fx);
auto j10 = fjac(fy).tr()*jac(G)*fjac(fx);
auto j01 = fjac(fx).tr()*jac(G)*fjac(fy);
auto j11 = fjac(fy).tr()*jac(G)*fjac(fy);
auto g11 = j00*j00 + j10*j10;
auto g12 = j00*j01 + j10*j11;
auto g22 = j01*j01 + j11*j11;
auto uxi = grad(u)*fjac(fx);
auto ueta = grad(u)*fjac(fy);
gsJacDetField<real_t> jacDetField(mp->patch(i));
variable detJ = ev.getVariable(jacDetField);
auto d_detJ_dcx = uxi*j11 - ueta*j10 ;
auto d2_detJ2_dcx2 = 2*d_detJ_dcx*d_detJ_dcx.tr();
auto d_g12_dcx = uxi*j01 + ueta*j00;
auto d2_g12_dcx2_g12 = uxi*g12*ueta.tr() + ueta*g12*uxi.tr();
auto d2_g12m2_dcx2 = 2*(d_g12_dcx*d_g12_dcx.tr() + d2_g12_dcx2_g12);
A.assemble(k_A*d2_detJ2_dcx2 + k_O*d2_g12m2_dcx2);
xxMat = A.matrix();
A.initSystem();
auto d_detJ_dcy = ueta*j00 - uxi*j01 ;
// auto d2_detJ_dcycx_detJ = ueta*detJ*uxi.tr() - uxi*detJ*ueta.tr() ;
// auto d2_detJ2_dcycx = 2*(d_detJ_dcy*d_detJ_dcx.tr() + d2_detJ_dcycx_detJ) ;
auto d_g12_dcy = uxi*j11 + ueta*j10;
// auto d2_g12m2_dcycx = 2*d_g12_dcy*d_g12_dcx.tr();
auto d2_detJ_dcxcy_detJ = uxi*detJ*ueta.tr() - ueta*detJ*uxi.tr();
auto d2_detJ2_dcxcy = 2*(d_detJ_dcx*d_detJ_dcy.tr() + d2_detJ_dcxcy_detJ);
auto d2_g12m2_dcxcy = 2*d_g12_dcx*d_g12_dcy.tr();
A.assemble(k_A*d2_detJ2_dcxcy + k_O*d2_g12m2_dcxcy);
xyMat = A.matrix().transpose();
A.initSystem();
auto d2_detJ2_dcy2 = 2*d_detJ_dcy*d_detJ_dcy.tr();
auto d2_g12_dcy2_g12 = uxi*g12*ueta.tr() + ueta*g12*uxi.tr();
auto d2_g12m2_dcy2 = 2*(d_g12_dcy*d_g12_dcy.tr() + d2_g12_dcy2_g12);
A.assemble(k_A*d2_detJ2_dcy2 + k_O*d2_g12m2_dcy2);
yyMat = A.matrix();
}