1#ifndef INTREPID_HGRAD_TRI_C1_FEMDEF_HPP
2#define INTREPID_HGRAD_TRI_C1_FEMDEF_HPP
54template<
class Scalar,
class ArrayScalar>
57 this -> basisCardinality_ = 3;
58 this -> basisDegree_ = 1;
59 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() );
60 this -> basisType_ = BASIS_FEM_DEFAULT;
61 this -> basisCoordinates_ = COORDINATES_CARTESIAN;
62 this -> basisTagsAreSet_ =
false;
67template<
class Scalar,
class ArrayScalar>
77 int tags[] = { 0, 0, 0, 1,
83 this -> ordinalToTag_,
85 this -> basisCardinality_,
94template<
class Scalar,
class ArrayScalar>
96 const ArrayScalar & inputPoints,
97 const EOperator operatorType)
const {
100#ifdef HAVE_INTREPID_DEBUG
101 Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues,
104 this -> getBaseCellTopology(),
105 this -> getCardinality() );
109 int dim0 = inputPoints.dimension(0);
115 switch (operatorType) {
118 for (
int i0 = 0; i0 < dim0; i0++) {
119 x = inputPoints(i0, 0);
120 y = inputPoints(i0, 1);
123 outputValues(0, i0) = 1.0 - x - y;
124 outputValues(1, i0) = x;
125 outputValues(2, i0) = y;
131 for (
int i0 = 0; i0 < dim0; i0++) {
134 outputValues(0, i0, 0) = -1.0;
135 outputValues(0, i0, 1) = -1.0;
137 outputValues(1, i0, 0) = 1.0;
138 outputValues(1, i0, 1) = 0.0;
140 outputValues(2, i0, 0) = 0.0;
141 outputValues(2, i0, 1) = 1.0;
146 for (
int i0 = 0; i0 < dim0; i0++) {
147 outputValues(0, i0, 0) = -1.0;
148 outputValues(0, i0, 1) = 1.0;
150 outputValues(1, i0, 0) = 0.0;
151 outputValues(1, i0, 1) = -1.0;
153 outputValues(2, i0, 0) = 1.0;
154 outputValues(2, i0, 1) = 0.0;
159 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
160 ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): DIV is invalid operator for rank-0 (scalar) fields in 2D.");
175 this -> basisCellTopology_.getDimension() );
176 for(
int dofOrd = 0; dofOrd <
this -> basisCardinality_; dofOrd++) {
177 for (
int i0 = 0; i0 < dim0; i0++) {
178 for(
int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
179 outputValues(dofOrd, i0, dkOrd) = 0.0;
188 ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): Invalid operator type");
194template<
class Scalar,
class ArrayScalar>
196 const ArrayScalar & inputPoints,
197 const ArrayScalar & cellVertices,
198 const EOperator operatorType)
const {
199 TEUCHOS_TEST_FOR_EXCEPTION( (
true), std::logic_error,
200 ">>> ERROR (Basis_HGRAD_TRI_C1_FEM): FEM Basis calling an FVD member function");
203template<
class Scalar,
class ArrayScalar>
205#ifdef HAVE_INTREPID_DEBUG
207 TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
208 ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) rank = 2 required for DofCoords array");
210 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
211 ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
213 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (
int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
214 ">>> ERROR: (Intrepid::Basis_HGRAD_TRI_C1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
217 DofCoords(0,0) = 0.0; DofCoords(0,1) = 0.0;
218 DofCoords(1,0) = 1.0; DofCoords(1,1) = 0.0;
219 DofCoords(2,0) = 0.0; DofCoords(2,1) = 1.0;
int isValidOperator(const EOperator operatorType)
Verifies validity of an operator enum.
void setOrdinalTagData(std::vector< std::vector< std::vector< int > > > &tagToOrdinal, std::vector< std::vector< int > > &ordinalToTag, const int *tags, const int basisCard, const int tagSize, const int posScDim, const int posScOrd, const int posDfOrd)
Fills ordinalToTag_ and tagToOrdinal_ by basis-specific tag data.
int getDkCardinality(const EOperator operatorType, const int spaceDim)
Returns cardinality of Dk, i.e., the number of all derivatives of order k.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
void getDofCoords(ArrayScalar &DofCoords) const
Returns spatial locations (coordinates) of degrees of freedom on a reference Quadrilateral.
Basis_HGRAD_TRI_C1_FEM()
Constructor.
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Triangle cell.