Nektar++
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#include <Expansion0D.h>
Public Member Functions | |
Expansion0D (SpatialDomains::Geometry0DSharedPtr pGeom) | |
virtual | ~Expansion0D () |
Expansion1DSharedPtr | GetLeftAdjacentElementExp () const |
Expansion1DSharedPtr | GetRightAdjacentElementExp () const |
int | GetLeftAdjacentElementVertex () const |
int | GetRightAdjacentElementVertex () const |
void | SetAdjacentElementExp (int vertex, Expansion1DSharedPtr &v) |
SpatialDomains::Geometry0DSharedPtr | GetGeom0D () const |
Public Member Functions inherited from Nektar::LocalRegions::Expansion | |
Expansion (SpatialDomains::GeometrySharedPtr pGeom) | |
Expansion (const Expansion &pSrc) | |
virtual | ~Expansion () |
DNekScalMatSharedPtr | GetLocMatrix (const LocalRegions::MatrixKey &mkey) |
DNekScalMatSharedPtr | GetLocMatrix (const StdRegions::MatrixType mtype, const StdRegions::ConstFactorMap &factors=StdRegions::NullConstFactorMap, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap) |
SpatialDomains::GeometrySharedPtr | GetGeom () const |
void | Reset () |
virtual const SpatialDomains::GeomFactorsSharedPtr & | v_GetMetricInfo () const |
DNekMatSharedPtr | BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType) |
DNekMatSharedPtr | BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd) |
void | AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
void | AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
void | AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray) |
void | DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray) |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion | |
StdExpansion () | |
Default Constructor. More... | |
StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey) | |
Constructor. More... | |
StdExpansion (const StdExpansion &T) | |
Copy Constructor. More... | |
virtual | ~StdExpansion () |
Destructor. More... | |
int | GetNumBases () const |
This function returns the number of 1D bases used in the expansion. More... | |
const Array< OneD, const LibUtilities::BasisSharedPtr > & | GetBase () const |
This function gets the shared point to basis. More... | |
const LibUtilities::BasisSharedPtr & | GetBasis (int dir) const |
This function gets the shared point to basis in the dir direction. More... | |
int | GetNcoeffs (void) const |
This function returns the total number of coefficients used in the expansion. More... | |
int | GetTotPoints () const |
This function returns the total number of quadrature points used in the element. More... | |
LibUtilities::BasisType | GetBasisType (const int dir) const |
This function returns the type of basis used in the dir direction. More... | |
int | GetBasisNumModes (const int dir) const |
This function returns the number of expansion modes in the dir direction. More... | |
int | EvalBasisNumModesMax (void) const |
This function returns the maximum number of expansion modes over all local directions. More... | |
LibUtilities::PointsType | GetPointsType (const int dir) const |
This function returns the type of quadrature points used in the dir direction. More... | |
int | GetNumPoints (const int dir) const |
This function returns the number of quadrature points in the dir direction. More... | |
const Array< OneD, const NekDouble > & | GetPoints (const int dir) const |
This function returns a pointer to the array containing the quadrature points in dir direction. More... | |
int | GetNverts () const |
This function returns the number of vertices of the expansion domain. More... | |
int | GetNedges () const |
This function returns the number of edges of the expansion domain. More... | |
int | GetEdgeNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th edge. More... | |
int | GetTotalEdgeIntNcoeffs () const |
int | GetEdgeNumPoints (const int i) const |
This function returns the number of quadrature points belonging to the i-th edge. More... | |
int | DetCartesianDirOfEdge (const int edge) |
const LibUtilities::BasisKey | DetEdgeBasisKey (const int i) const |
const LibUtilities::BasisKey | DetFaceBasisKey (const int i, const int k) const |
int | GetFaceNumPoints (const int i) const |
This function returns the number of quadrature points belonging to the i-th face. More... | |
int | GetFaceNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th face. More... | |
int | GetFaceIntNcoeffs (const int i) const |
int | GetTotalFaceIntNcoeffs () const |
LibUtilities::PointsKey | GetFacePointsKey (const int i, const int j) const |
int | NumBndryCoeffs (void) const |
int | NumDGBndryCoeffs (void) const |
LibUtilities::BasisType | GetEdgeBasisType (const int i) const |
This function returns the type of expansion basis on the i-th edge. More... | |
const LibUtilities::PointsKey | GetNodalPointsKey () const |
This function returns the type of expansion Nodal point type if defined. More... | |
int | GetNfaces () const |
This function returns the number of faces of the expansion domain. More... | |
int | GetNtrace () const |
Returns the number of trace elements connected to this element. More... | |
LibUtilities::ShapeType | DetShapeType () const |
This function returns the shape of the expansion domain. More... | |
boost::shared_ptr< StdExpansion > | GetStdExp (void) const |
int | GetShapeDimension () const |
bool | IsBoundaryInteriorExpansion () |
bool | IsNodalNonTensorialExp () |
void | BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs the Backward transformation from coefficient space to physical space. More... | |
void | FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs the Forward transformation from physical space to coefficient space. More... | |
void | FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
NekDouble | Integral (const Array< OneD, const NekDouble > &inarray) |
This function integrates the specified function over the domain. More... | |
void | FillMode (const int mode, Array< OneD, NekDouble > &outarray) |
This function fills the array outarray with the mode-th mode of the expansion. More... | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
this function calculates the inner product of a given function f with the different modes of the expansion More... | |
void | IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check) |
void | IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
int | GetElmtId () |
Get the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
void | SetElmtId (const int id) |
Set the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
void | GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray) |
this function returns the physical coordinates of the quadrature points of the expansion More... | |
void | GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord) |
given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More... | |
DNekMatSharedPtr | GetStdMatrix (const StdMatrixKey &mkey) |
DNekBlkMatSharedPtr | GetStdStaticCondMatrix (const StdMatrixKey &mkey) |
IndexMapValuesSharedPtr | GetIndexMap (const IndexMapKey &ikey) |
const Array< OneD, const NekDouble > & | GetPhysNormals (void) |
void | SetPhysNormals (Array< OneD, const NekDouble > &normal) |
virtual void | SetUpPhysNormals (const int edge) |
void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
void | NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
DNekScalBlkMatSharedPtr | GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
void | DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
StdRegions::Orientation | GetForient (int face) |
StdRegions::Orientation | GetEorient (int edge) |
StdRegions::Orientation | GetPorient (int point) |
StdRegions::Orientation | GetCartesianEorient (int edge) |
void | SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir) |
void | SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
int | CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
void | ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs) |
NekDouble | StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals) |
int | GetCoordim () |
void | GetBoundaryMap (Array< OneD, unsigned int > &outarray) |
void | GetInteriorMap (Array< OneD, unsigned int > &outarray) |
int | GetVertexMap (const int localVertexId, bool useCoeffPacking=false) |
void | GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
void | GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
void | GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray) |
void | GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1) |
void | GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More... | |
void | GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray) |
void | GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray) |
Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More... | |
void | GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation) |
void | MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
DNekMatSharedPtr | CreateGeneralMatrix (const StdMatrixKey &mkey) |
this function generates the mass matrix More... | |
void | GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) |
void | LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
void | LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true) |
void | HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) |
DNekMatSharedPtr | GenMatrix (const StdMatrixKey &mkey) |
void | PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
void | PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds) |
void | PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn) |
void | PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray) |
void | StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) |
void | StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
void | AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) |
void | AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs) |
NekDouble | PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
NekDouble | PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
void | LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) |
Convert local cartesian coordinate xi into local collapsed coordinates eta. More... | |
const boost::shared_ptr< SpatialDomains::GeomFactors > & | GetMetricInfo (void) const |
virtual int | v_GetElmtId () |
Get the element id of this expansion when used in a list by returning value of m_elmt_id. More... | |
virtual const Array< OneD, const NekDouble > & | v_GetPhysNormals (void) |
virtual void | v_SetPhysNormals (Array< OneD, const NekDouble > &normal) |
virtual void | v_SetUpPhysNormals (const int edge) |
virtual int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) |
virtual void | v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs) |
Unpack data from input file assuming it comes from the same expansion type. More... | |
virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray) |
virtual void | v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray) |
virtual DNekScalBlkMatSharedPtr | v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual void | v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey) |
virtual StdRegions::Orientation | v_GetForient (int face) |
virtual StdRegions::Orientation | v_GetEorient (int edge) |
virtual StdRegions::Orientation | v_GetCartesianEorient (int edge) |
virtual StdRegions::Orientation | v_GetPorient (int point) |
NekDouble | Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error where is given by the array sol. More... | |
NekDouble | L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error, where is given by the array sol. More... | |
NekDouble | H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray) |
Function to evaluate the discrete error, where is given by the array sol. More... | |
const NormalVector & | GetEdgeNormal (const int edge) const |
void | ComputeEdgeNormal (const int edge) |
void | NegateEdgeNormal (const int edge) |
bool | EdgeNormalNegated (const int edge) |
void | ComputeFaceNormal (const int face) |
void | NegateFaceNormal (const int face) |
void | ComputeVertexNormal (const int vertex) |
const NormalVector & | GetFaceNormal (const int face) const |
const NormalVector & | GetVertexNormal (const int vertex) const |
const NormalVector & | GetSurfaceNormal (const int id) const |
const LibUtilities::PointsKeyVector | GetPointsKeys () const |
Array< OneD, unsigned int > | GetEdgeInverseBoundaryMap (int eid) |
Array< OneD, unsigned int > | GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=eNoOrientation) |
DNekMatSharedPtr | BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix) |
void | PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More... | |
void | GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) |
This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More... | |
template<class T > | |
boost::shared_ptr< T > | as () |
void | IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) |
Public Member Functions inherited from Nektar::StdRegions::StdExpansion0D | |
StdExpansion0D () | |
StdExpansion0D (int numcoeffs, const LibUtilities::BasisKey &Ba) | |
StdExpansion0D (const StdExpansion0D &T) | |
virtual | ~StdExpansion0D () |
void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
Private Attributes | |
Expansion1DWeakPtr | m_elementLeft |
Expansion1DWeakPtr | m_elementRight |
int | m_elementVertexLeft |
int | m_elementVertexRight |
Definition at line 54 of file Expansion0D.h.
Nektar::LocalRegions::Expansion0D::Expansion0D | ( | SpatialDomains::Geometry0DSharedPtr | pGeom | ) |
Definition at line 42 of file Expansion0D.cpp.
References m_elementVertexLeft, and m_elementVertexRight.
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inlinevirtual |
Definition at line 59 of file Expansion0D.h.
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inline |
Definition at line 122 of file Expansion0D.h.
References Nektar::LocalRegions::Expansion::m_geom.
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inline |
Definition at line 84 of file Expansion0D.h.
References ASSERTL1, and m_elementLeft.
Referenced by Nektar::MultiRegions::ExpList0D::v_GetNormals().
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inline |
Definition at line 96 of file Expansion0D.h.
References m_elementVertexLeft.
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inline |
Definition at line 90 of file Expansion0D.h.
References ASSERTL1, m_elementLeft, and m_elementRight.
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inline |
Definition at line 101 of file Expansion0D.h.
References m_elementVertexRight.
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inline |
Definition at line 106 of file Expansion0D.h.
References m_elementLeft, m_elementRight, m_elementVertexLeft, and m_elementVertexRight.
Referenced by Nektar::MultiRegions::DisContField1D::SetUpDG().
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private |
Definition at line 78 of file Expansion0D.h.
Referenced by GetLeftAdjacentElementExp(), GetRightAdjacentElementExp(), and SetAdjacentElementExp().
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private |
Definition at line 79 of file Expansion0D.h.
Referenced by GetRightAdjacentElementExp(), and SetAdjacentElementExp().
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private |
Definition at line 80 of file Expansion0D.h.
Referenced by Expansion0D(), GetLeftAdjacentElementVertex(), and SetAdjacentElementExp().
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private |
Definition at line 81 of file Expansion0D.h.
Referenced by Expansion0D(), GetRightAdjacentElementVertex(), and SetAdjacentElementExp().