void GradGrad<D>::T_CalcElementMatrix (const FiniteElement & base_fel,
const ElementTransformation & eltrans,
FlatMatrix<SCAL> elmat,
LocalHeap & lh) const {
const CompoundFiniteElement & cfel // product space
= dynamic_cast<const CompoundFiniteElement&> (base_fel);
const ScalarFiniteElement<D> & fel_u = // u space
dynamic_cast<const ScalarFiniteElement<D>&> (cfel[GetInd1()]);
const ScalarFiniteElement<D> & fel_e = // e space
dynamic_cast<const ScalarFiniteElement<D>&> (cfel[GetInd2()]);
elmat = SCAL(0.0);
// u dofs [ru.First() : ru.Next()-1], e dofs [re.First() : re.Next()-1]
IntRange ru = cfel.GetRange(GetInd1());
IntRange re = cfel.GetRange(GetInd2());
int ndofe = re.Size();
int ndofu = ru.Size();
FlatMatrixFixWidth<D> dum(ndofu,lh); // to store grad(u-basis)
FlatMatrixFixWidth<D> dem(ndofe,lh); // to store grad(e-basis)
ELEMENT_TYPE eltype // get the type of element:
= fel_u.ElementType(); // ET_TRIG in 2d, ET_TET in 3d.
const IntegrationRule & // Note: p = fel_u.Order()-1
ir = SelectIntegrationRule(eltype, fel_u.Order()+fel_e.Order()-2);
FlatMatrix<SCAL> submat(ndofe,ndofu,lh);
submat = 0.0;
for(int k=0; k<ir.GetNIP(); k++) {
MappedIntegrationPoint<D,D> mip (ir[k],eltrans);
// set grad(u-basis) and grad(e-basis) at mapped pts in dum and dem.
fel_u.CalcMappedDShape( mip, dum );
fel_e.CalcMappedDShape( mip, dem );
// evaluate coefficient
SCAL fac = coeff_a -> T_Evaluate<SCAL>(mip);
fac *= mip.GetWeight() ;
// [ndofe x D] * [D x ndofu]
submat += fac * dem * Trans(dum) ;
}
elmat.Rows(re).Cols(ru) += submat;
if (GetInd1() != GetInd2())
elmat.Rows(ru).Cols(re) += Conj(Trans(submat));
}
void EyeEye<D>::T_CalcElementMatrix (const FiniteElement & base_fel,
const ElementTransformation & eltrans,
FlatMatrix<SCAL> elmat,
LocalHeap & lh) const {
const CompoundFiniteElement & cfel // product space
= dynamic_cast<const CompoundFiniteElement&> (base_fel);
const ScalarFiniteElement<D> & fel_u = // u space
dynamic_cast<const ScalarFiniteElement<D>&> (cfel[GetInd1()]);
const ScalarFiniteElement<D> & fel_e = // e space
dynamic_cast<const ScalarFiniteElement<D>&> (cfel[GetInd2()]);
elmat = SCAL(0.0);
IntRange ru = cfel.GetRange(GetInd1());
IntRange re = cfel.GetRange(GetInd2());
int ndofe = re.Size();
int ndofu = ru.Size();
Vector<> ushape(ndofu);
Vector<> eshape(ndofe);
ELEMENT_TYPE eltype = fel_u.ElementType();
const IntegrationRule &
ir = SelectIntegrationRule(eltype, fel_u.Order()+fel_e.Order());
FlatMatrix<SCAL> submat(ndofe,ndofu,lh);
submat = SCAL(0.0);
for(int k=0; k<ir.GetNIP(); k++) {
MappedIntegrationPoint<D,D> mip (ir[k],eltrans);
fel_u.CalcShape( ir[k], ushape );
fel_e.CalcShape( ir[k], eshape );
SCAL fac = (coeff_a -> T_Evaluate<SCAL>(mip))* mip.GetWeight() ;
// [ndofe x D] * [D x ndofu]
submat += fac * eshape * Trans(ushape) ;
}
elmat.Rows(re).Cols(ru) += submat;
if (GetInd1() != GetInd2())
elmat.Rows(ru).Cols(re) += Conj(Trans(submat));
}