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Nektar::LocalRegions::NodalTriExp Class Reference

#include <NodalTriExp.h>

Inheritance diagram for Nektar::LocalRegions::NodalTriExp:
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Public Member Functions

 NodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype, const SpatialDomains::TriGeomSharedPtr &geom)
 Constructor using BasisKey class for quadrature points and order definition.
 NodalTriExp (const NodalTriExp &T)
 Copy Constructor.
 ~NodalTriExp ()
 Destructor.
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion
void GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 Integrate the physical point list inarray over region.
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray.
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 Differentiation Methods ////////////////////////////.
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs.
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain.
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
- Public Member Functions inherited from Nektar::StdRegions::StdNodalTriExp
 StdNodalTriExp ()
 StdNodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype)
 StdNodalTriExp (const StdNodalTriExp &T)
 ~StdNodalTriExp ()
void NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
DNekMatSharedPtr GenNBasisTransMatrix ()
- Public Member Functions inherited from Nektar::StdRegions::StdTriExp
 StdTriExp ()
 StdTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 StdTriExp (const StdTriExp &T)
 ~StdTriExp ()
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D
 StdExpansion2D ()
 StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 StdExpansion2D (const StdExpansion2D &T)
virtual ~StdExpansion2D ()
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d0, Array< OneD, NekDouble > &outarray_d1)
 Calculate the 2D derivative in the local tensor/collapsed coordinate at the physical points.
NekDouble Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1)
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor.
 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.
 StdExpansion (const StdExpansion &T)
 Copy Constructor.
virtual ~StdExpansion ()
 Destructor.
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion.
const Array< OneD, const
LibUtilities::BasisSharedPtr > & 		GetBase () const
 This function gets the shared point to basis.
const
LibUtilities::BasisSharedPtr & 		GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction.
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion.
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element.
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction.
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction.
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions.
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction.
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction.
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.
int GetNverts () const
 This function returns the number of vertices of the expansion domain.
int GetNedges () const
 This function returns the number of edges of the expansion domain.
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge.
int GetTotalEdgeIntNcoeffs () const
int GetEdgeNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th edge.
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.
int GetFaceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th face.
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.
int GetNfaces () const
 This function returns the number of faces of the expansion domain.
int GetNtrace () const
 Returns the number of trace elements connected to this element.
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain.
int GetShapeDimension () const
bool IsBoundaryInteriorExpansion ()
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space.
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion.
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id.
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id.
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.
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).
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 $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$
void GeneralMatrixOp (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 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)
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
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, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain.
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta.
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.
virtual const Array< OneD,
const NekDouble > & 		v_GetPhysNormals (void)
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
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.
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 $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ is given by the array sol.
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol.
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol.
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.
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.
template<class T >
boost::shared_ptr< T > as ()
- Public Member Functions inherited from Nektar::LocalRegions::Expansion2D
 Expansion2D (SpatialDomains::Geometry2DSharedPtr pGeom)
virtual ~Expansion2D ()
void SetTraceToGeomOrientation (Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &inout)
ExpansionSharedPtr GetEdgeExp (int edge, bool SetUpNormal=true)
void SetEdgeExp (const int edge, ExpansionSharedPtr &e)
void AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &outarray)
void AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs)
void AddEdgeBoundaryInt (const int edge, ExpansionSharedPtr &EdgeExp, Array< OneD, NekDouble > &edgePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
void AddHDGHelmholtzEdgeTerms (const NekDouble tau, const int edge, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &edgePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
void AddHDGHelmholtzTraceTerms (const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
Expansion3DSharedPtr GetLeftAdjacentElementExp () const
Expansion3DSharedPtr GetRightAdjacentElementExp () const
int GetLeftAdjacentElementFace () const
int GetRightAdjacentElementFace () const
void SetAdjacentElementExp (int face, Expansion3DSharedPtr &f)
SpatialDomains::Geometry2DSharedPtr GetGeom2D () 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
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)

Protected Member Functions

DNekMatSharedPtr CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)
DNekScalMatSharedPtr CreateMatrix (const MatrixKey &mkey)
DNekScalBlkMatSharedPtr CreateStaticCondMatrix (const MatrixKey &mkey)
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual DNekMatSharedPtr v_GenMatrix (const StdRegions::StdMatrixKey &mkey)
- Protected Member Functions inherited from Nektar::StdRegions::StdNodalTriExp
virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Backward tranform for triangular elements.
virtual void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Transform a given function from physical quadrature space to coefficient space.
virtual void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the inner product of inarray with respect to the basis B=base0[p]*base1[pq] and put into outarray.
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)
virtual int v_NumBndryCoeffs () const
virtual void v_GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
virtual int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false)
virtual void v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
virtual void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey)
- Protected Member Functions inherited from Nektar::StdRegions::StdTriExp
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain.
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 Calculate the derivative of the physical points.
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a given direction.
virtual void v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
virtual void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
virtual void v_FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
virtual void v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
virtual int v_GetNverts () const
virtual int v_GetNedges () const
virtual LibUtilities::ShapeType v_DetShapeType () const
virtual int v_NumDGBndryCoeffs () const
virtual int v_GetEdgeNcoeffs (const int i) const
virtual int v_GetEdgeNumPoints (const int i) const
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z)
virtual bool v_IsBoundaryInteriorExpansion ()
virtual int v_DetCartesianDirOfEdge (const int edge)
virtual const
LibUtilities::BasisKey 		v_DetEdgeBasisKey (const int edge) const
virtual void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
virtual void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion2D
virtual NekDouble v_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.
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition.
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc.
void BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
- Protected Member Functions inherited from Nektar::LocalRegions::Expansion2D
virtual void v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &edgeCoeffs, Array< OneD, NekDouble > &out_d)
virtual void v_AddEdgeNormBoundaryInt (const int edge, const ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
virtual void v_AddEdgeNormBoundaryInt (const int edge, const ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
virtual void v_AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
virtual void v_AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
virtual DNekMatSharedPtr v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
void GetPhysEdgeVarCoeffsFromElement (const int edge, ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &varcoeff, Array< OneD, NekDouble > &outarray)
Array< OneD, unsigned int > v_GetEdgeInverseBoundaryMap (int eid)
virtual void v_NegateEdgeNormal (const int edge)
virtual bool v_EdgeNormalNegated (const int edge)
virtual void v_SetUpPhysNormals (const int edge)
const StdRegions::NormalVector & v_GetEdgeNormal (const int edge) const
const StdRegions::NormalVector & v_GetSurfaceNormal (const int id) const
- Protected Member Functions inherited from Nektar::LocalRegions::Expansion
void ComputeLaplacianMetric ()
void ComputeQuadratureMetric ()
virtual void v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_ComputeLaplacianMetric ()
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
virtual DNekScalMatSharedPtr v_GetLocMatrix (const LocalRegions::MatrixKey &mkey)
virtual DNekMatSharedPtr v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
virtual void v_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)
virtual void v_AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
virtual void v_AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

Private Member Functions

virtual DNekMatSharedPtr v_GenNBasisTransMatrix ()
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray)
virtual void v_GetCoord (const Array< OneD, const NekDouble > &lcoord, Array< OneD, NekDouble > &coord)
virtual void v_GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Virtual call to integrate the physical point list inarray over region (see SegExp::Integral)
virtual void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Virtual call to TriExp::IProduct_WRT_B.
virtual void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Virtual call to SegExp::FwdTrans.
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
 Virtual call to TriExp::Evaluate.
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)
virtual DNekScalMatSharedPtr v_GetLocMatrix (const MatrixKey &mkey)
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const MatrixKey &mkey)
virtual void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void v_ComputeEdgeNormal (const int edge)

Private Attributes

LibUtilities::NekManager
< MatrixKey, DNekScalMat,
MatrixKey::opLess > 		m_matrixManager
LibUtilities::NekManager
< MatrixKey, DNekScalBlkMat,
MatrixKey::opLess > 		m_staticCondMatrixManager

Additional Inherited Members

- Protected Attributes inherited from Nektar::StdRegions::StdNodalTriExp
boost::shared_ptr
< LibUtilities::PointsKey > 		m_nodalPointsKey
- Protected Attributes inherited from Nektar::LocalRegions::Expansion2D
std::vector< ExpansionWeakPtr > m_edgeExp
std::vector< bool > m_requireNeg
std::map< int,
StdRegions::NormalVector > 		m_edgeNormals
std::map< int, bool > m_negatedNormals
Expansion3DWeakPtr m_elementLeft
Expansion3DWeakPtr m_elementRight
int m_elementFaceLeft
int m_elementFaceRight

Detailed Description

Definition at line 51 of file NodalTriExp.h.

Constructor & Destructor Documentation

Nektar::LocalRegions::NodalTriExp::NodalTriExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::PointsType  Ntype,
const SpatialDomains::TriGeomSharedPtr &  geom 
)

Constructor using BasisKey class for quadrature points and order definition.

Definition at line 44 of file NodalTriExp.cpp.

:
StdExpansion (LibUtilities::StdTriData::getNumberOfCoefficients(Ba.GetNumModes(),(Bb.GetNumModes())),2,Ba,Bb),
StdExpansion2D(LibUtilities::StdTriData::getNumberOfCoefficients(Ba.GetNumModes(),(Bb.GetNumModes())),Ba,Bb),
StdNodalTriExp(Ba,Bb,Ntype),
Expansion (geom),
Expansion2D (geom),
m_matrixManager(
boost::bind(&NodalTriExp::CreateMatrix, this, _1),
std::string("NodalTriExpMatrix")),
m_staticCondMatrixManager(
boost::bind(&NodalTriExp::CreateStaticCondMatrix, this, _1),
std::string("NodalTriExpStaticCondMatrix"))
{
}
Nektar::LocalRegions::NodalTriExp::NodalTriExp ( const NodalTriExp &  T)

Copy Constructor.

Definition at line 62 of file NodalTriExp.cpp.

:
StdExpansion(T),
StdExpansion2D(T),
StdRegions::StdNodalTriExp(T),
Expansion (T),
Expansion2D (T),
m_matrixManager(T.m_matrixManager),
m_staticCondMatrixManager(T.m_staticCondMatrixManager)
{
}
Nektar::LocalRegions::NodalTriExp::~NodalTriExp ( )

Destructor.

Definition at line 73 of file NodalTriExp.cpp.

{
}

Member Function Documentation

DNekScalMatSharedPtr Nektar::LocalRegions::NodalTriExp::CreateMatrix ( const MatrixKey &  mkey)
protected

Definition at line 422 of file NodalTriExp.cpp.

References ASSERTL1, ASSERTL2, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eFactorLambda, ErrorUtil::efatal, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eLaplacian00, Nektar::StdRegions::eLaplacian01, Nektar::StdRegions::eLaplacian11, Nektar::StdRegions::eMass, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::StdExpansion::GenMatrix(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdMatrixKey::GetShapeType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::LocalRegions::Expansion::m_geom, m_matrixManager, Nektar::LocalRegions::Expansion::m_metricinfo, NEKERROR, and Nektar::Transpose().

{
DNekScalMatSharedPtr returnval;
LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
StdRegions::MatrixType mtype = mkey.GetMatrixType();
switch(mtype)
{
case StdRegions::eMass:
{
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
NekDouble one = 1.0;
DNekMatSharedPtr mat = GenMatrix(mkey);
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
}
else
{
NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
DNekMatSharedPtr mat = GetStdMatrix(mkey);
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,mat);
}
}
break;
case StdRegions::eInvMass:
{
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
NekDouble one = 1.0;
StdRegions::StdMatrixKey masskey(StdRegions::eMass,DetShapeType(),
*this);
DNekMatSharedPtr mat = GenMatrix(masskey);
mat->Invert();
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
}
else
{
NekDouble fac = 1.0/(m_metricinfo->GetJac(ptsKeys))[0];
DNekMatSharedPtr mat = GetStdMatrix(mkey);
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(fac,mat);
}
}
break;
case StdRegions::eLaplacian:
{
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
NekDouble one = 1.0;
DNekMatSharedPtr mat = GenMatrix(mkey);
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
}
else
{
ASSERTL1(m_geom->GetCoordim() == 2,"Standard Region Laplacian is only set up for Quads in two-dimensional");
MatrixKey lap00key(StdRegions::eLaplacian00,
mkey.GetShapeType(), *this);
MatrixKey lap01key(StdRegions::eLaplacian01,
mkey.GetShapeType(), *this);
MatrixKey lap11key(StdRegions::eLaplacian11,
mkey.GetShapeType(), *this);
DNekMat &lap00 = *GetStdMatrix(lap00key);
DNekMat &lap01 = *GetStdMatrix(lap01key);
DNekMat &lap11 = *GetStdMatrix(lap11key);
NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
Array<TwoD, const NekDouble> gmat =
m_metricinfo->GetGmat(ptsKeys);
int rows = lap00.GetRows();
int cols = lap00.GetColumns();
DNekMatSharedPtr lap = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols);
(*lap) = gmat[0][0] * lap00 +
gmat[1][0] * (lap01 + Transpose(lap01)) +
gmat[3][0] * lap11;
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,lap);
}
}
break;
case StdRegions::eHelmholtz:
{
NekDouble factor = mkey.GetConstFactor(StdRegions::eFactorLambda);
MatrixKey masskey(StdRegions::eMass,
mkey.GetShapeType(), *this);
DNekScalMat &MassMat = *(this->m_matrixManager[masskey]);
MatrixKey lapkey(StdRegions::eLaplacian,
mkey.GetShapeType(), *this);
DNekScalMat &LapMat = *(this->m_matrixManager[lapkey]);
int rows = LapMat.GetRows();
int cols = LapMat.GetColumns();
DNekMatSharedPtr helm = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols);
NekDouble one = 1.0;
(*helm) = LapMat + factor*MassMat;
returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,helm);
}
break;
default:
NEKERROR(ErrorUtil::efatal, "Matrix creation not defined");
break;
}
return returnval;
}
DNekScalBlkMatSharedPtr Nektar::LocalRegions::NodalTriExp::CreateStaticCondMatrix ( const MatrixKey &  mkey)
protected

Definition at line 538 of file NodalTriExp.cpp.

References ASSERTL2, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eLaplacian, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetInteriorMap(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetStdStaticCondMatrix(), Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
DNekScalBlkMatSharedPtr returnval;
ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
// set up block matrix system
unsigned int nbdry = NumBndryCoeffs();
unsigned int nint = (unsigned int)(m_ncoeffs - nbdry);
unsigned int exp_size[] = {nbdry,nint};
unsigned int nblks = 2;
returnval = MemoryManager<DNekScalBlkMat>::AllocateSharedPtr(nblks,nblks,exp_size,exp_size); //Really need a constructor which takes Arrays
NekDouble factor = 1.0;
switch(mkey.GetMatrixType())
{
case StdRegions::eLaplacian:
case StdRegions::eHelmholtz: // special case since Helmholtz not defined in StdRegions
// use Deformed case for both regular and deformed geometries
factor = 1.0;
goto UseLocRegionsMatrix;
break;
default:
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
factor = 1.0;
goto UseLocRegionsMatrix;
}
else
{
DNekScalMatSharedPtr mat = GetLocMatrix(mkey);
factor = mat->Scale();
goto UseStdRegionsMatrix;
}
break;
UseStdRegionsMatrix:
{
NekDouble invfactor = 1.0/factor;
NekDouble one = 1.0;
DNekBlkMatSharedPtr mat = GetStdStaticCondMatrix(mkey);
DNekScalMatSharedPtr Atmp;
DNekMatSharedPtr Asubmat;
returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(0,0)));
returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,Asubmat = mat->GetBlock(0,1)));
returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(1,0)));
returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,Asubmat = mat->GetBlock(1,1)));
}
break;
UseLocRegionsMatrix:
{
int i,j;
NekDouble invfactor = 1.0/factor;
NekDouble one = 1.0;
DNekScalMat &mat = *GetLocMatrix(mkey);
DNekMatSharedPtr A = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nbdry);
DNekMatSharedPtr B = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nint);
DNekMatSharedPtr C = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nbdry);
DNekMatSharedPtr D = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nint);
Array<OneD,unsigned int> bmap(nbdry);
Array<OneD,unsigned int> imap(nint);
GetBoundaryMap(bmap);
GetInteriorMap(imap);
for(i = 0; i < nbdry; ++i)
{
for(j = 0; j < nbdry; ++j)
{
(*A)(i,j) = mat(bmap[i],bmap[j]);
}
for(j = 0; j < nint; ++j)
{
(*B)(i,j) = mat(bmap[i],imap[j]);
}
}
for(i = 0; i < nint; ++i)
{
for(j = 0; j < nbdry; ++j)
{
(*C)(i,j) = mat(imap[i],bmap[j]);
}
for(j = 0; j < nint; ++j)
{
(*D)(i,j) = mat(imap[i],imap[j]);
}
}
// Calculate static condensed system
if(nint)
{
D->Invert();
(*B) = (*B)*(*D);
(*A) = (*A) - (*B)*(*C);
}
DNekScalMatSharedPtr Atmp;
returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,A));
returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,B));
returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,C));
returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,D));
}
}
return returnval;
}
DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::CreateStdMatrix ( const StdRegions::StdMatrixKey &  mkey)
protected

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 398 of file NodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.

Referenced by v_CreateStdMatrix().

{
LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
LibUtilities::PointsType ntype = m_nodalPointsKey->GetPointsType();
StdRegions::StdNodalTriExpSharedPtr tmp = MemoryManager<StdNodalTriExp>::
AllocateSharedPtr(bkey0,bkey1,ntype);
return tmp->GetStdMatrix(mkey);
}
void Nektar::LocalRegions::NodalTriExp::FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs.

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs.

Inputs:

Outputs:

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 335 of file NodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, IProductWRTBase(), m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_FwdTrans().

{
IProductWRTBase(inarray,outarray);
// get Mass matrix inverse
MatrixKey masskey(StdRegions::eInvMass, DetShapeType(),*this,StdRegions::NullConstFactorMap,StdRegions::NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekScalMatSharedPtr matsys = m_matrixManager[masskey];
// copy inarray in case inarray == outarray
NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
out = (*matsys)*in;
}
void Nektar::LocalRegions::NodalTriExp::GeneralMatrixOp_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protected

Definition at line 352 of file NodalTriExp.cpp.

References Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

{
DNekScalMatSharedPtr mat = GetLocMatrix(mkey);
if(inarray.get() == outarray.get())
{
Array<OneD,NekDouble> tmp(m_ncoeffs);
Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
}
else
{
Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
}
void Nektar::LocalRegions::NodalTriExp::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

This function is a wrapper around the virtual function v_GetCoord()

Parameters
Lcoordsthe coordinates in the local collapsed coordinate system
coordsthe physical coordinates (output of the function)

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 381 of file NodalTriExp.cpp.

References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.

Referenced by v_GetCoord().

{
int i;
ASSERTL1(Lcoords[0] >= -1.0 && Lcoords[1] <= 1.0 &&
Lcoords[1] >= -1.0 && Lcoords[1] <=1.0,
"Local coordinates are not in region [-1,1]");
m_geom->FillGeom();
for(i = 0; i < m_geom->GetCoordim(); ++i)
{
coords[i] = m_geom->GetCoord(i,Lcoords);
}
}
void Nektar::LocalRegions::NodalTriExp::GetCoords ( Array< OneD, NekDouble > &  coords_1,
Array< OneD, NekDouble > &  coords_2,
Array< OneD, NekDouble > &  coords_3 = NullNekDouble1DArray 
)

this function returns the physical coordinates of the quadrature points of the expansion

This function is a wrapper around the virtual function v_GetCoords()

Parameters
coordsan array containing the coordinates of the quadrature points (output of the function)

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 373 of file NodalTriExp.cpp.

References v_GetCoords().

Referenced by v_GetCoords().

{
Expansion::v_GetCoords(coords_0, coords_1, coords_2);
}
void Nektar::LocalRegions::NodalTriExp::HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inline
Parameters
inarrayInput array $ \mathbf{u} $.
outarrayOutput array $ \boldsymbol{\nabla^2u} + \lambda \boldsymbol{u} $.
mkey

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 149 of file NodalTriExp.h.

References Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl().

Referenced by v_HelmholtzMatrixOp().

{
StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(inarray,outarray,mkey);
}
NekDouble Nektar::LocalRegions::NodalTriExp::Integral ( const Array< OneD, const NekDouble > &  inarray)

Integrate the physical point list inarray over region.

Integrate the physical point list inarray over region and return the value.

Inputs:

Outputs:

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 98 of file NodalTriExp.cpp.

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), v_Integral(), and Vmath::Vmul().

Referenced by v_Integral().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
Array<OneD, const NekDouble> jac = m_metricinfo->GetJac(GetPointsKeys());
NekDouble ival;
Array<OneD,NekDouble> tmp(nquad0*nquad1);
// multiply inarray with Jacobian
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
Vmath::Vmul(nquad0*nquad1, jac, 1, inarray, 1,tmp, 1);
}
else
{
Vmath::Smul(nquad0*nquad1, jac[0], inarray, 1, tmp, 1);
}
// call StdQuadExp version;
ival = StdNodalTriExp::v_Integral(tmp);
return ival;
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inline

Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray.

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 83 of file NodalTriExp.h.

References IProductWRTBase_SumFac().

Referenced by FwdTrans(), and v_IProductWRTBase().

{
NodalTriExp::IProductWRTBase_SumFac(inarray,outarray);
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTBase_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protected

Definition at line 137 of file NodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.

{
int nq = GetTotPoints();
MatrixKey iprodmatkey(StdRegions::eIProductWRTBase,DetShapeType(),*this);
DNekScalMatSharedPtr iprodmat = m_matrixManager[iprodmatkey];
Blas::Dgemv('N',m_ncoeffs,nq,iprodmat->Scale(),(iprodmat->GetOwnedMatrix())->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protected

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 122 of file NodalTriExp.cpp.

References Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose().

Referenced by IProductWRTBase(), and v_IProductWRTBase_SumFac().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int order1 = m_base[1]->GetNumModes();
Array<OneD,NekDouble> tmp(nquad0*nquad1+nquad0*order1);
Array<OneD,NekDouble> wsp(tmp+nquad0*nquad1);
MultiplyByQuadratureMetric(inarray,tmp);
StdTriExp::IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),m_base[1]->GetBdata(),tmp,outarray,wsp);
NodalToModalTranspose(outarray,outarray);
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inline

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 89 of file NodalTriExp.h.

References IProductWRTDerivBase_SumFac().

Referenced by v_IProductWRTDerivBase().

{
NodalTriExp::IProductWRTDerivBase_SumFac(dir,inarray,outarray);
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_MatOp ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protected

Definition at line 218 of file NodalTriExp.cpp.

References ASSERTL1, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.

{
int nq = GetTotPoints();
StdRegions::MatrixType mtype = StdRegions::eIProductWRTDerivBase0;
switch(dir)
{
case 0:
{
mtype = StdRegions::eIProductWRTDerivBase0;
}
break;
case 1:
{
mtype = StdRegions::eIProductWRTDerivBase1;
}
break;
case 2:
{
mtype = StdRegions::eIProductWRTDerivBase2;
}
break;
default:
{
ASSERTL1(false,"input dir is out of range");
}
break;
}
MatrixKey iprodmatkey(mtype,DetShapeType(),*this);
DNekScalMatSharedPtr iprodmat = m_matrixManager[iprodmatkey];
Blas::Dgemv('N',m_ncoeffs,nq,iprodmat->Scale(),(iprodmat->GetOwnedMatrix())->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
void Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protected

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 148 of file NodalTriExp.cpp.

References ASSERTL1, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by IProductWRTDerivBase(), and v_IProductWRTDerivBase_SumFac().

{
ASSERTL1((dir==0)||(dir==1)||(dir==2),"Invalid direction.");
ASSERTL1((dir==2)?(m_geom->GetCoordim()==3):true,"Invalid direction.");
int i;
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int nqtot = nquad0*nquad1;
int wspsize = max(nqtot,m_ncoeffs);
const Array<TwoD, const NekDouble>& df =
m_metricinfo->GetDerivFactors(GetPointsKeys());
Array<OneD, NekDouble> tmp0 (6*wspsize);
Array<OneD, NekDouble> tmp1 (tmp0 + wspsize);
Array<OneD, NekDouble> tmp2 (tmp0 + 2*wspsize);
Array<OneD, NekDouble> tmp3 (tmp0 + 3*wspsize);
Array<OneD, NekDouble> gfac0(tmp0 + 4*wspsize);
Array<OneD, NekDouble> gfac1(tmp0 + 5*wspsize);
const Array<OneD, const NekDouble>& z0 = m_base[0]->GetZ();
const Array<OneD, const NekDouble>& z1 = m_base[1]->GetZ();
// set up geometric factor: 2/(1-z1)
for(i = 0; i < nquad1; ++i)
{
gfac0[i] = 2.0/(1-z1[i]);
}
for(i = 0; i < nquad0; ++i)
{
gfac1[i] = 0.5*(1+z0[i]);
}
for(i = 0; i < nquad1; ++i)
{
Vmath::Smul(nquad0,gfac0[i],&inarray[0]+i*nquad0,1,&tmp0[0]+i*nquad0,1);
}
for(i = 0; i < nquad1; ++i)
{
Vmath::Vmul(nquad0,&gfac1[0],1,&tmp0[0]+i*nquad0,1,&tmp1[0]+i*nquad0,1);
}
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
Vmath::Vmul(nqtot,&df[2*dir][0], 1,&tmp0[0], 1,&tmp0[0],1);
Vmath::Vmul(nqtot,&df[2*dir+1][0],1,&tmp1[0], 1,&tmp1[0],1);
Vmath::Vmul(nqtot,&df[2*dir+1][0],1,&inarray[0],1,&tmp2[0],1);
}
else
{
Vmath::Smul(nqtot, df[2*dir][0], tmp0, 1, tmp0, 1);
Vmath::Smul(nqtot, df[2*dir+1][0], tmp1, 1, tmp1, 1);
Vmath::Smul(nqtot, df[2*dir+1][0], inarray, 1, tmp2, 1);
}
Vmath::Vadd(nqtot, tmp0, 1, tmp1, 1, tmp1, 1);
MultiplyByQuadratureMetric(tmp1,tmp1);
MultiplyByQuadratureMetric(tmp2,tmp2);
IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),m_base[1]->GetBdata() ,tmp1,tmp3 ,tmp0);
IProductWRTBase_SumFacKernel(m_base[0]->GetBdata() ,m_base[1]->GetDbdata(),tmp2,outarray,tmp0);
Vmath::Vadd(m_ncoeffs, tmp3, 1, outarray, 1, outarray, 1);
NodalToModalTranspose(outarray,outarray);
}
void Nektar::LocalRegions::NodalTriExp::LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inline

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 126 of file NodalTriExp.h.

References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl().

Referenced by v_LaplacianMatrixOp().

{
StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(inarray,outarray,mkey);
}
void Nektar::LocalRegions::NodalTriExp::LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inline

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 133 of file NodalTriExp.h.

References Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree().

{
StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,mkey);
}
void Nektar::LocalRegions::NodalTriExp::MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inline

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 119 of file NodalTriExp.h.

References Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree().

Referenced by v_MassMatrixOp().

{
StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
}
void Nektar::LocalRegions::NodalTriExp::PhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray 
)

Differentiation Methods ////////////////////////////.

Calculate the deritive of the physical points

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 264 of file NodalTriExp.cpp.

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), v_PhysDeriv(), Vmath::Vmul(), and Vmath::Vvtvp().

Referenced by v_PhysDeriv().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int nqtot = nquad0*nquad1;
const Array<TwoD, const NekDouble>& df
= m_metricinfo->GetDerivFactors(GetPointsKeys());
Array<OneD,NekDouble> diff0(2*nqtot);
Array<OneD,NekDouble> diff1(diff0+nqtot);
StdNodalTriExp::v_PhysDeriv(inarray, diff0, diff1);
if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
{
if(out_d0.num_elements())
{
Vmath::Vmul (nqtot,df[0],1,diff0,1, out_d0, 1);
Vmath::Vvtvp (nqtot,df[1],1,diff1,1, out_d0, 1, out_d0,1);
}
if(out_d1.num_elements())
{
Vmath::Vmul (nqtot,df[2],1,diff0,1, out_d1, 1);
Vmath::Vvtvp (nqtot,df[3],1,diff1,1, out_d1, 1, out_d1,1);
}
if(out_d2.num_elements())
{
Vmath::Vmul (nqtot,df[4],1,diff0,1, out_d2, 1);
Vmath::Vvtvp (nqtot,df[5],1,diff1,1, out_d2, 1, out_d2,1);
}
}
else // regular geometry
{
if(out_d0.num_elements())
{
Vmath::Smul (nqtot, df[0][0], diff0, 1, out_d0, 1);
Blas::Daxpy (nqtot, df[1][0], diff1, 1, out_d0, 1);
}
if(out_d1.num_elements())
{
Vmath::Smul (nqtot, df[2][0], diff0, 1, out_d1, 1);
Blas::Daxpy (nqtot, df[3][0], diff1, 1, out_d1, 1);
}
if(out_d2.num_elements())
{
Vmath::Smul (nqtot, df[4][0], diff0, 1, out_d2, 1);
Blas::Daxpy (nqtot, df[5][0], diff1, 1, out_d2, 1);
}
}
}
NekDouble Nektar::LocalRegions::NodalTriExp::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.

This function is a wrapper around the virtual function v_PhysEvaluate()

Based on the value of the expansion at the quadrature points provided in physvals, this function calculates the value of the expansion at an arbitrary single points (with coordinates $ \mathbf{x_c}$ given by the pointer coords). This operation, equivalent to

\[ u(\mathbf{x_c}) = \sum_p \phi_p(\mathbf{x_c}) \hat{u}_p \]

is evaluated using Lagrangian interpolants through the quadrature points:

\[ u(\mathbf{x_c}) = \sum_p h_p(\mathbf{x_c}) u_p\]

Parameters
coordsthe coordinates of the single point
physvalsthe interpolated field at the quadrature points
Returns
returns the value of the expansion at the single point

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 409 of file NodalTriExp.cpp.

References ASSERTL0, Nektar::LocalRegions::Expansion::m_geom, and v_PhysEvaluate().

Referenced by v_PhysEvaluate().

{
Array<OneD,NekDouble> Lcoord = Array<OneD,NekDouble>(2);
ASSERTL0(m_geom,"m_geom not defined");
m_geom->GetLocCoords(coord,Lcoord);
return StdNodalTriExp::v_PhysEvaluate(Lcoord, physvals);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Definition at line 315 of file NodalTriExp.h.

{
StdNodalTriExp::v_BwdTrans_SumFac(inarray,outarray);
}
void Nektar::LocalRegions::NodalTriExp::v_ComputeEdgeNormal ( const int  edge)
private

Definition at line 672 of file NodalTriExp.cpp.

References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp1D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion2D::m_edgeNormals, Vmath::Reverse(), Vmath::Sdiv(), Vmath::Smul(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().

{
int i;
const SpatialDomains::GeomFactorsSharedPtr & geomFactors = GetGeom()->GetMetricInfo();
const SpatialDomains::GeomType type = geomFactors->GetGtype();
LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
const Array<TwoD, const NekDouble> & df = geomFactors->GetDerivFactors(ptsKeys);
const Array<OneD, const NekDouble> & jac = geomFactors->GetJac(ptsKeys);
int nqe = m_base[0]->GetNumPoints();
int dim = GetCoordim();
m_edgeNormals[edge] = Array<OneD, Array<OneD, NekDouble> >(dim);
Array<OneD, Array<OneD, NekDouble> > &normal = m_edgeNormals[edge];
for (i = 0; i < dim; ++i)
{
normal[i] = Array<OneD, NekDouble>(nqe);
}
// Regular geometry case
if((type == SpatialDomains::eRegular)||(type == SpatialDomains::eMovingRegular))
{
NekDouble fac;
// Set up normals
switch(edge)
{
case 0:
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Fill(nqe,-df[2*i+1][0],normal[i],1);
}
break;
case 1:
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Fill(nqe,df[2*i+1][0] + df[2*i][0],normal[i],1);
}
break;
case 2:
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Fill(nqe,-df[2*i][0],normal[i],1);
}
break;
default:
ASSERTL0(false,"Edge is out of range (edge < 3)");
}
// normalise
fac = 0.0;
for(i =0 ; i < GetCoordim(); ++i)
{
fac += normal[i][0]*normal[i][0];
}
fac = 1.0/sqrt(fac);
for (i = 0; i < GetCoordim(); ++i)
{
Vmath::Smul(nqe,fac,normal[i],1,normal[i],1);
}
}
else // Set up deformed normals
{
int j;
int nquad0 = ptsKeys[0].GetNumPoints();
int nquad1 = ptsKeys[1].GetNumPoints();
LibUtilities::PointsKey from_key;
Array<OneD,NekDouble> normals(GetCoordim()*max(nquad0,nquad1),0.0);
Array<OneD,NekDouble> edgejac(GetCoordim()*max(nquad0,nquad1),0.0);
// Extract Jacobian along edges and recover local
// derivates (dx/dr) for polynomial interpolation by
// multiplying m_gmat by jacobian
switch(edge)
{
case 0:
for(j = 0; j < nquad0; ++j)
{
edgejac[j] = jac[j];
for(i = 0; i < GetCoordim(); ++i)
{
normals[i*nquad0+j] = -df[2*i+1][j]*edgejac[j];
}
}
from_key = ptsKeys[0];
break;
case 1:
for(j = 0; j < nquad1; ++j)
{
edgejac[j] = jac[nquad0*j+nquad0-1];
for(i = 0; i < GetCoordim(); ++i)
{
normals[i*nquad1+j] = (df[2*i][nquad0*j + nquad0-1] + df[2*i+1][nquad0*j + nquad0-1])*edgejac[j];
}
}
from_key = ptsKeys[1];
break;
case 2:
for(j = 0; j < nquad1; ++j)
{
edgejac[j] = jac[nquad0*j];
for(i = 0; i < GetCoordim(); ++i)
{
normals[i*nquad1+j] = -df[2*i][nquad0*j]*edgejac[j];
}
}
from_key = ptsKeys[1];
break;
default:
ASSERTL0(false,"edge is out of range (edge < 3)");
}
int nq = from_key.GetNumPoints();
Array<OneD,NekDouble> work(nqe,0.0);
// interpolate Jacobian and invert
LibUtilities::Interp1D(from_key,jac,m_base[0]->GetPointsKey(),work);
Vmath::Sdiv(nq,1.0,&work[0],1,&work[0],1);
// interpolate
for(i = 0; i < GetCoordim(); ++i)
{
LibUtilities::Interp1D(from_key,&normals[i*nq],m_base[0]->GetPointsKey(),&normal[i][0]);
Vmath::Vmul(nqe,work,1,normal[i],1,normal[i],1);
}
//normalise normal vectors
Vmath::Zero(nqe,work,1);
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Vvtvp(nqe,normal[i],1, normal[i],1,work,1,work,1);
}
Vmath::Vsqrt(nqe,work,1,work,1);
Vmath::Sdiv(nqe,1.0,work,1,work,1);
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Vmul(nqe,normal[i],1,work,1,normal[i],1);
}
// Reverse direction so that points are in
// anticlockwise direction if edge >=2
if(edge >= 2)
{
for(i = 0; i < GetCoordim(); ++i)
{
Vmath::Reverse(nqe,normal[i],1, normal[i],1);
}
}
}
}
virtual DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_CreateStdMatrix ( const StdRegions::StdMatrixKey &  mkey)
inlineprivatevirtual

Definition at line 294 of file NodalTriExp.h.

References CreateStdMatrix().

{
return CreateStdMatrix(mkey);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Virtual call to SegExp::FwdTrans.

Definition at line 279 of file NodalTriExp.h.

References FwdTrans().

{
FwdTrans(inarray,outarray);
}
DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GenMatrix ( const StdRegions::StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 651 of file NodalTriExp.cpp.

References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, and Nektar::StdRegions::StdMatrixKey::GetMatrixType().

{
DNekMatSharedPtr returnval;
switch(mkey.GetMatrixType())
{
case StdRegions::eHybridDGHelmholtz:
case StdRegions::eHybridDGLamToU:
case StdRegions::eHybridDGLamToQ0:
case StdRegions::eHybridDGLamToQ1:
case StdRegions::eHybridDGLamToQ2:
case StdRegions::eHybridDGHelmBndLam:
returnval = Expansion2D::v_GenMatrix(mkey);
break;
default:
returnval = StdNodalTriExp::v_GenMatrix(mkey);
break;
}
return returnval;
}
virtual DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GenNBasisTransMatrix ( )
inlineprivatevirtual

Definition at line 191 of file NodalTriExp.h.

References Nektar::StdRegions::StdNodalTriExp::GenNBasisTransMatrix().

{
return StdNodalTriExp::GenNBasisTransMatrix();
}
virtual void Nektar::LocalRegions::NodalTriExp::v_GetCoord ( const Array< OneD, const NekDouble > &  lcoord,
Array< OneD, NekDouble > &  coord 
)
inlineprivatevirtual

Definition at line 203 of file NodalTriExp.h.

References GetCoord().

{
GetCoord(lcoord, coord);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_GetCoords ( Array< OneD, NekDouble > &  coords_0,
Array< OneD, NekDouble > &  coords_1 = NullNekDouble1DArray,
Array< OneD, NekDouble > &  coords_2 = NullNekDouble1DArray 
)
inlineprivatevirtual

Definition at line 196 of file NodalTriExp.h.

References GetCoords().

Referenced by GetCoords().

{
GetCoords(coords_0, coords_1, coords_2);
}
virtual DNekScalMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GetLocMatrix ( const MatrixKey &  mkey)
inlineprivatevirtual

Definition at line 299 of file NodalTriExp.h.

References m_matrixManager.

{
return m_matrixManager[mkey];
}
virtual DNekScalBlkMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GetLocStaticCondMatrix ( const MatrixKey &  mkey)
inlineprivatevirtual

Definition at line 310 of file NodalTriExp.h.

References m_staticCondMatrixManager.

{
return m_staticCondMatrixManager[mkey];
}
virtual void Nektar::LocalRegions::NodalTriExp::v_GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y 
)
inlineprivatevirtual

Definition at line 209 of file NodalTriExp.h.

References Nektar::StdRegions::StdNodalTriExp::GetNodalPoints().

{
return StdNodalTriExp::GetNodalPoints(x,y);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inlineprivatevirtual

Definition at line 364 of file NodalTriExp.h.

References HelmholtzMatrixOp().

{
HelmholtzMatrixOp(inarray,outarray,mkey);
}
virtual NekDouble Nektar::LocalRegions::NodalTriExp::v_Integral ( const Array< OneD, const NekDouble > &  inarray)
inlineprivatevirtual

Virtual call to integrate the physical point list inarray over region (see SegExp::Integral)

Definition at line 217 of file NodalTriExp.h.

References Integral().

Referenced by Integral().

{
return Integral(inarray);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Virtual call to TriExp::IProduct_WRT_B.

Definition at line 223 of file NodalTriExp.h.

References IProductWRTBase().

{
IProductWRTBase(inarray,outarray);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Definition at line 321 of file NodalTriExp.h.

References IProductWRTBase_SumFac().

{
IProductWRTBase_SumFac(inarray,outarray);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Definition at line 229 of file NodalTriExp.h.

References IProductWRTDerivBase().

{
IProductWRTDerivBase(dir,inarray,outarray);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Definition at line 327 of file NodalTriExp.h.

References IProductWRTDerivBase_SumFac().

{
IProductWRTDerivBase_SumFac(dir,inarray,outarray);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inlineprivatevirtual

Definition at line 341 of file NodalTriExp.h.

References LaplacianMatrixOp().

{
LaplacianMatrixOp(inarray,outarray,mkey);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inlineprivatevirtual

Definition at line 348 of file NodalTriExp.h.

References LaplacianMatrixOp().

{
LaplacianMatrixOp(k1,k2,inarray,outarray,mkey);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inlineprivatevirtual

Definition at line 334 of file NodalTriExp.h.

References MassMatrixOp().

{
MassMatrixOp(inarray,outarray,mkey);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_PhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray 
)
inlineprivatevirtual

Definition at line 245 of file NodalTriExp.h.

References PhysDeriv().

Referenced by PhysDeriv(), and v_StdPhysDeriv().

{
PhysDeriv(inarray, out_d0, out_d1);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_PhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
inlineprivatevirtual

Definition at line 253 of file NodalTriExp.h.

References ASSERTL1, and PhysDeriv().

{
Array<OneD,NekDouble> tmp;
switch(dir)
{
case 0:
{
PhysDeriv(inarray, outarray, tmp);
}
break;
case 1:
{
PhysDeriv(inarray, tmp, outarray);
}
break;
default:
{
ASSERTL1(dir >= 0 &&dir < 2,"input dir is out of range");
}
break;
}
}
virtual NekDouble Nektar::LocalRegions::NodalTriExp::v_PhysEvaluate ( const Array< OneD, const NekDouble > &  coord,
const Array< OneD, const NekDouble > &  physvals 
)
inlineprivatevirtual

Virtual call to TriExp::Evaluate.

Definition at line 286 of file NodalTriExp.h.

References PhysEvaluate().

Referenced by PhysEvaluate().

{
return PhysEvaluate(coord, physvals);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_StdPhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray 
)
inlineprivatevirtual

Definition at line 236 of file NodalTriExp.h.

References v_PhysDeriv().

{
StdTriExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
}
virtual void Nektar::LocalRegions::NodalTriExp::v_WeakDerivMatrixOp ( const int  i,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inlineprivatevirtual

Definition at line 356 of file NodalTriExp.h.

References WeakDerivMatrixOp().

{
WeakDerivMatrixOp(i,inarray,outarray,mkey);
}
void Nektar::LocalRegions::NodalTriExp::WeakDerivMatrixOp ( const int  i,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
inline

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 141 of file NodalTriExp.h.

References Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree().

Referenced by v_WeakDerivMatrixOp().

{
StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,mkey);
}

Member Data Documentation

LibUtilities::NekManager<MatrixKey, DNekScalMat, MatrixKey::opLess> Nektar::LocalRegions::NodalTriExp::m_matrixManager
private

Definition at line 182 of file NodalTriExp.h.

Referenced by CreateMatrix(), FwdTrans(), IProductWRTBase_MatOp(), IProductWRTDerivBase_MatOp(), and v_GetLocMatrix().

LibUtilities::NekManager<MatrixKey, DNekScalBlkMat, MatrixKey::opLess> Nektar::LocalRegions::NodalTriExp::m_staticCondMatrixManager
private

Definition at line 183 of file NodalTriExp.h.

Referenced by v_GetLocStaticCondMatrix().

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