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LifeV
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ReferenceFEHdiv - Short description of the class. More...
#include <ReferenceFEHdiv.hpp>
Inheritance diagram for ReferenceFEHdiv: Collaboration diagram for ReferenceFEHdiv:Public Types | |
| typedef ReferenceFE::function_Type | function_Type |
Constructor & Destructor | |
| ReferenceFEHdiv (std::string name, FE_TYPE type, ReferenceShapes shape, Int nbDofPerVertex, Int nbDofPerEdge, Int nbDofPerFace, Int nbDofPerVolume, Int nbDof, Int nbLocalCoor, const function_Type *phi, const function_Type *divPhi, const Real *refCoor, DofPatternType patternType, const ReferenceFE *bdRefFE) | |
| Constructor of a reference Lagrangian finite element. More... | |
| ~ReferenceFEHdiv () | |
Additional Inherited Members | |
| Public Types inherited from ReferenceFE | |
| typedef ReferenceElement::function_Type | function_Type |
| Public Types inherited from ReferenceElement | |
| typedef Real(* | function_Type) (const GeoVector &) |
| Public Member Functions inherited from ReferenceFE | |
| ReferenceFE (std::string name, FE_TYPE type, ReferenceShapes shape, Int nbDofPerVertex, Int nbDofPerEdge, Int nbDofPerFace, Int nbDofPerVolume, Int nbDof, Int nbLocalCoor, Int FEDim, const function_Type *phi, const function_Type *dPhi, const function_Type *d2Phi, const function_Type *divPhi, const Real *refCoor, DofPatternType patternType, const ReferenceFE *bdRefFE) | |
| Constructor of a reference Lagrangian finite element. More... | |
| virtual | ~ReferenceFE () |
| Destructor. More... | |
| bool | hasBoundaryFE () const |
| Check if the reference element has boundary elements. More... | |
| const ReferenceFE & | boundaryFE () const |
| Getter for the boundary finite element. More... | |
| const FE_TYPE & | type () const |
| Getter for the type of the finite element. More... | |
| Public Member Functions inherited from ReferenceElement | |
| ReferenceElement (std::string name, ReferenceShapes shape, UInt nbDof, UInt nbLocalCoor, UInt feDim, const function_Type *phi, const function_Type *dPhi, const function_Type *d2Phi, const function_Type *divPhi, const Real *refCoor) | |
| Full constructor. More... | |
| virtual | ~ReferenceElement () |
| Destructor. More... | |
| Real | xi (UInt i) const |
| return the first local coordinate of the i-th node of the reference element More... | |
| Real | eta (UInt i) const |
| return the second local coordinate of the i-th node of the reference element More... | |
| Real | zeta (UInt i) const |
| return the third local coordinate of the i-th node of the reference element More... | |
| Real | refCoor (UInt i, UInt icoor) const |
| return the icoor-th local coordinate of the i-th node of the reference element More... | |
| std::vector< GeoVector > | refCoor () const |
| return the coordinates of the reference element More... | |
| Real | phi (UInt i, const GeoVector &v) const |
| Return the value of the i-th basis function in the point v. More... | |
| Real | phi (UInt i, UInt icoor, const GeoVector &v) const |
| return the value of the component icoor-th of the i-th basis function on point v. More... | |
| Real | dPhi (UInt i, UInt icoor, const GeoVector &v) const |
| return the value of the icoor-th derivative of the i-th basis function on point v More... | |
| Real | d2Phi (UInt i, UInt icoor, UInt jcoor, const GeoVector &v) const |
| return the value of the (icoor,jcoor)-th second derivative of the i-th basis function on point v More... | |
| Real | divPhi (UInt i, const GeoVector &v) const |
| return the value of the divergence of the i-th basis function on point v. More... | |
| bool | hasPhi () const |
| Check if the refEle has phi functions. More... | |
| bool | hasDPhi () const |
| Check if the refEle has dPhi functions. More... | |
| bool | hasD2Phi () const |
| Check if the refEle has d2Phi functions. More... | |
| bool | hasDivPhi () const |
| Check if the refEle has divPhi functions. More... | |
| virtual std::vector< Real > | nodalToFEValues (const std::vector< Real > &) const |
| Method for transforming nodal values into FE values. More... | |
| const std::string & | name () const |
| Return the name of the reference element. More... | |
| const UInt & | nbDof () const |
| Return the number of degrees of freedom for this reference element. More... | |
| const | LIFEV_DEPRECATED (UInt &) nbCoor() const |
| OLD: Return the number of local coordinates. More... | |
| const UInt & | nbLocalCoor () const |
| Return the number of local coordinates. More... | |
| const UInt & | feDim () const |
| Return the dimension of the FE (scalar vs vectorial FE) More... | |
| const ReferenceShapes & | shape () const |
| Return the shape of the element. More... | |
| Real | phi (UInt i, const Real &x, const Real &y, const Real &z) const |
| return the value of the i-th basis function on point (x,y,z) More... | |
| Real | phi (UInt i, UInt icoor, const Real &x, const Real &y, const Real &z) const |
| return the value of the component icoor-th of the i-th basis function on point (x,y,z). More... | |
| Real | dPhi (UInt i, UInt icoor, const Real &x, const Real &y, const Real &z) const |
| return the value of the icoor-th derivative of the i-th basis function on point (x,y,z) More... | |
| Real | d2Phi (UInt i, UInt icoor, UInt jcoor, const Real &x, const Real &y, const Real &z) const |
| return the value of the (icoor,jcoor)-th second derivative of the i-th basis function on point (x,y,z) More... | |
| Real | divPhi (UInt i, const Real &x, const Real &y, const Real &z) const |
| return the value of the divergence of the i-th basis function on point (x,y,z). More... | |
| Public Member Functions inherited from DOFLocalPattern | |
| DOFLocalPattern (const UInt &nbLocalDof, const UInt &nbDofPerVertex, const UInt &nbDofPerEdge, const UInt &nbDofPerFace, const UInt &nbDofPerVolume, const DofPatternType &patternType, UInt nbLocalCoor) | |
| Full constructor. More... | |
| DOFLocalPattern (const DOFLocalPattern &localDofPattern) | |
| Simple copy constructor. More... | |
| virtual | ~DOFLocalPattern () |
| Empty destructor. More... | |
| const UInt & | patternFirst (const UInt &i) const |
| patternFirst(i): row index in the element matrix of the i-th term of the pattern (the index starts from 0, not from 1 !). More... | |
| const UInt & | patternSecond (const UInt &i) const |
| patternSecond(i): column index in the element matrix of the i-th term of the pattern (the index starts from 0, not from 1 !). More... | |
| void | showMe (std::ostream &output=std::cout) const |
| The showMe method for the pattern. More... | |
| const UInt & | nbPattern () const |
| Number of non-zero terms in the element matrix. More... | |
| const UInt & | nbDiag () const |
| Number of diagonal terms in the element matrix. More... | |
| const UInt & | nbUpper () const |
| Number of upper terms in the element matrix. More... | |
| const UInt & | nbLocalDof () const |
| Return the number of local degrees of freedom. More... | |
| const UInt & | nbDofPerVertex () const |
| Return the number of degrees of freedom located on the vertices (0D structures) More... | |
| const UInt & | nbDofPerEdge () const |
| Return the number of degrees of freedom located on the edges (1D structures) More... | |
| UInt | nbDofPerPeak () const |
| Return the number of degrees of freedom located on the peak (vertex in 3D). More... | |
| UInt | nbDofPerRidge () const |
| Return the number of degrees of freedom located on the ridge. (edge in 3D) More... | |
| UInt | nbDofPerFacet () const |
| Return the number of degrees of freedom located on the facet. (face in 3D) More... | |
| const UInt & | nbDofPerElement () const |
| Return the number of degrees of freedom located on the element. (volume in 3D) More... | |
| const UInt & | nbDofPerFace () const |
| Return the number of degrees of freedom located on the faces (2D structures). More... | |
| const UInt & | nbDofPerVolume () const |
| Return the number of degrees of freedom located in the volume (3D structures). More... | |
| const UInt & | nbDofPerDimStrut (const UInt &structDim) const |
| Return the number of degrees of freedom located per structDim object. More... | |
| const UInt & | nbDofPerCodimStrut (const UInt &structCodim) const |
| Return the number of degrees of freedom located per structCodim object. More... | |
ReferenceFEHdiv - Short description of the class.
Definition at line 49 of file ReferenceFEHdiv.hpp.
Definition at line 57 of file ReferenceFEHdiv.hpp.
| ReferenceFEHdiv | ( | std::string | name, |
| FE_TYPE | type, | ||
| ReferenceShapes | shape, | ||
| Int | nbDofPerVertex, | ||
| Int | nbDofPerEdge, | ||
| Int | nbDofPerFace, | ||
| Int | nbDofPerVolume, | ||
| Int | nbDof, | ||
| Int | nbLocalCoor, | ||
| const function_Type * | phi, | ||
| const function_Type * | divPhi, | ||
| const Real * | refCoor, | ||
| DofPatternType | patternType, | ||
| const ReferenceFE * | bdRefFE | ||
| ) |
Constructor of a reference Lagrangian finite element.
Constructor of a reference finite element. The arguments are:
| name | the name of the f.e. |
| type | the type of the f.e. (FE_P1_2D,... see the #define at the begining of refFE.h) |
| shape | the geometry belongs to enum ReferenceShapes {NONE, POINT, LINE, TRIANGLE, QUAD, HEXA, PRISM, TETRA}; (see ElementShapes.h) |
| nbDofPerVertex | the number of degrees of freedom per vertex |
| nbDofPerEdge | the number of degrees of freedom per edge |
| nbDofPerFace | the number of degrees of freedom per face |
| nbDofPerVolume | the number of degrees of freedom per volume |
| nbDof | the total number of d.o.f ( = nbDofPerVertex * nb vertex + nbDofPerEdge * nb edges + etc...) |
| nbLocalCoor | number of local coordinates |
| phi | the static array containing the basis functions (defined in refEle.h) |
| dPhi | the static array containing the derivatives of the basis functions (defined in refEle.h) |
| d2Phi | the static array containing the second derivatives of the basis functions (defined in refEle.h) |
| refCoor | the static array containing the coordinates of the nodes on the reference element (defined in refEle.h) |
| patternType | in most of cases STANDARD_PATTERN, except for elements like P1isoP2 (to define a new pattern, add a new #define in refFE.h and code it in refFE.cc following the example of P1ISOP2_TRIA_PATTERN) |
| bdRefFE | a pointer on the associated reference finite element on the boundary |
Definition at line 48 of file ReferenceFEHdiv.cpp.
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Definition at line 108 of file ReferenceFEHdiv.hpp.
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