int CompareShapeFunctions(TPZCompElSide celsideA, TPZCompElSide celsideB)
{
TPZGeoElSide gelsideA = celsideA.Reference();
TPZGeoElSide gelsideB = celsideB.Reference();
int sideA = gelsideA.Side();
int sideB = gelsideB.Side();
TPZCompEl *celA = celsideA.Element();
TPZCompEl *celB = celsideB.Element(); TPZMultiphysicsElement *MFcelA = dynamic_cast<TPZMultiphysicsElement *>(celA);
TPZMultiphysicsElement *MFcelB = dynamic_cast<TPZMultiphysicsElement *>(celB);
TPZInterpolatedElement *interA = dynamic_cast<TPZInterpolatedElement *>(MFcelA->Element(0));
TPZInterpolatedElement *interB = dynamic_cast<TPZInterpolatedElement *>(MFcelB->Element(0));
TPZMaterialData dataA;
TPZMaterialData dataB;
interA->InitMaterialData(dataA);
interB->InitMaterialData(dataB);
TPZTransform<> tr = gelsideA.NeighbourSideTransform(gelsideB);
TPZGeoEl *gelA = gelsideA.Element();
TPZTransform<> trA = gelA->SideToSideTransform(gelsideA.Side(), gelA->NSides()-1);
TPZGeoEl *gelB = gelsideB.Element();
TPZTransform<> trB = gelB->SideToSideTransform(gelsideB.Side(), gelB->NSides()-1);
int dimensionA = gelA->Dimension();
int dimensionB = gelB->Dimension();
int nSideshapeA = interA->NSideShapeF(sideA);
int nSideshapeB = interB->NSideShapeF(sideB);
int is;
int firstShapeA = 0;
int firstShapeB = 0;
for (is=0; is<sideA; is++) {
firstShapeA += interA->NSideShapeF(is);
}
for (is=0; is<sideB; is++) {
firstShapeB += interB->NSideShapeF(is);
}
TPZIntPoints *intrule = gelA->CreateSideIntegrationRule(gelsideA.Side(), 4);
int nwrong = 0;
int npoints = intrule->NPoints();
int ip;
for (ip=0; ip<npoints; ip++) {
TPZManVector<REAL,3> pointA(gelsideA.Dimension()),pointB(gelsideB.Dimension()), pointElA(gelA->Dimension()),pointElB(gelB->Dimension());
REAL weight;
intrule->Point(ip, pointA, weight);
int sidedim = gelsideA.Dimension();
TPZFNMatrix<9> jacobian(sidedim,sidedim),jacinv(sidedim,sidedim),axes(sidedim,3);
REAL detjac;
gelsideA.Jacobian(pointA, jacobian, jacinv, detjac, jacinv);
TPZManVector<REAL,3> normal(3,0.), xA(3),xB(3);
normal[0] = axes(0,1);
normal[1] = -axes(0,0);
tr.Apply(pointA, pointB);
trA.Apply(pointA, pointElA);
trB.Apply(pointB, pointElB);
gelsideA.Element()->X(pointElA, xA);
gelsideB.Element()->X(pointElB, xB);
for (int i=0; i<3; i++) {
if(fabs(xA[i]- xB[i])> 1.e-6) DebugStop();
}
int nshapeA = 0, nshapeB = 0;
interA->ComputeRequiredData(dataA, pointElA);
interB->ComputeRequiredData(dataB, pointElB);
nshapeA = dataA.phi.Rows();
nshapeB = dataB.phi.Rows();
if(nSideshapeA != nSideshapeB) DebugStop();
TPZManVector<REAL> shapesA(nSideshapeA), shapesB(nSideshapeB);
int nwrongkeep(nwrong);
int i,j;
for(i=firstShapeA,j=firstShapeB; i<firstShapeA+nSideshapeA; i++,j++)
{
int Ashapeind = i;
int Bshapeind = j;
int Avecind = -1;
int Bvecind = -1;
// if A or B are boundary elements, their shapefunctions come in the right order
if (dimensionA != sidedim) {
Ashapeind = dataA.fVecShapeIndex[i].second;
Avecind = dataA.fVecShapeIndex[i].first;
}
if (dimensionB != sidedim) {
Bshapeind = dataB.fVecShapeIndex[j].second;
Bvecind = dataB.fVecShapeIndex[j].first;
}
if (dimensionA != sidedim && dimensionB != sidedim) {
// vefify that the normal component of the normal vector corresponds
Avecind = dataA.fVecShapeIndex[i].first;
Bvecind = dataB.fVecShapeIndex[j].first;
REAL vecnormalA = dataA.fNormalVec(0,Avecind)*normal[0]+dataA.fNormalVec(1,Avecind)*normal[1];
REAL vecnormalB = dataB.fNormalVec(0,Bvecind)*normal[0]+dataB.fNormalVec(1,Bvecind)*normal[1];
if(fabs(vecnormalA-vecnormalB) > 1.e-6)
{
nwrong++;
LOGPZ_ERROR(logger, "normal vectors aren't equal")
}
}
shapesA[i-firstShapeA] = dataA.phi(Ashapeind,0);
shapesB[j-firstShapeB] = dataB.phi(Bshapeind,0);
REAL valA = dataA.phi(Ashapeind,0);
REAL valB = dataB.phi(Bshapeind,0);
REAL diff = valA-valB;
REAL decision = fabs(diff)-1.e-6;
if(decision > 0.)
{
nwrong ++;
std::cout << "valA = " << valA << " valB = " << valB << " Avecind " << Avecind << " Bvecind " << Bvecind <<
" Ashapeind " << Ashapeind << " Bshapeind " << Bshapeind <<
" sideA " << sideA << " sideB " << sideB << std::endl;
LOGPZ_ERROR(logger, "shape function values are different")
}
/// Compute the contribution at an integration point to the stiffness matrix of the HDiv formulation
void TPZMatPoisson3d::ContributeHDiv(TPZMaterialData &data,REAL weight,TPZFMatrix<STATE> &ek,TPZFMatrix<STATE> &ef)
{
/** monta a matriz
|A B^T | = |0 |
|B 0 | |f |
**/
//TPZVec<REAL> &x = data.x;
STATE fXfLoc = fXf;
if(fForcingFunction) { // phi(in, 0) = phi_in
TPZManVector<STATE> res(1);
fForcingFunction->Execute(data.x,res); // dphi(i,j) = dphi_j/dxi
fXfLoc = res[0];
}
int numvec = data.fVecShapeIndex.NElements();
int numdual = data.numberdualfunctions;
int numprimalshape = data.phi.Rows()-numdual;
int i,j;
REAL kreal = 0.;
#ifdef STATE_COMPLEX
kreal = fK.real();
#else
kreal = fK;
#endif
REAL ratiok = 1./kreal;
for(i=0; i<numvec; i++)
{
int ivecind = data.fVecShapeIndex[i].first;
int ishapeind = data.fVecShapeIndex[i].second;
for (j=0; j<numvec; j++) {
int jvecind = data.fVecShapeIndex[j].first;
int jshapeind = data.fVecShapeIndex[j].second;
REAL prod = data.fNormalVec(0,ivecind)*data.fNormalVec(0,jvecind)+
data.fNormalVec(1,ivecind)*data.fNormalVec(1,jvecind)+
data.fNormalVec(2,ivecind)*data.fNormalVec(2,jvecind);//faz o produto escalar entre u e v--> Matriz A
ek(i,j) += weight*ratiok*data.phi(ishapeind,0)*data.phi(jshapeind,0)*prod;
}
TPZFNMatrix<3> ivec(3,1);
ivec(0,0) = data.fNormalVec(0,ivecind);
ivec(1,0) = data.fNormalVec(1,ivecind);
ivec(2,0) = data.fNormalVec(2,ivecind);
TPZFNMatrix<3> axesvec(3,1);
data.axes.Multiply(ivec,axesvec);
int iloc;
REAL divwq = 0.;
for(iloc=0; iloc<fDim; iloc++)
{
divwq += axesvec(iloc,0)*data.dphix(iloc,ishapeind);
}
for (j=0; j<numdual; j++) {
REAL fact = (-1.)*weight*data.phi(numprimalshape+j,0)*divwq;//calcula o termo da matriz B^T e B
ek(i,numvec+j) += fact;
ek(numvec+j,i) += fact;//-div
}
}
for(i=0; i<numdual; i++)
{
ef(numvec+i,0) += (STATE)((-1.)*weight*data.phi(numprimalshape+i,0))*fXfLoc;//calcula o termo da matriz f
#ifdef LOG4CXX
if (logger->isDebugEnabled())
{
std::stringstream sout;
sout<< "Verificando termo fonte\n";
sout << " pto " <<data.x << std::endl;
sout<< " fpto " <<fXfLoc <<std::endl;
LOGPZ_DEBUG(logger,sout.str())
}
#endif
}
