Nektar++
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Nektar::StdRegions::StdNodalTriExp Class Reference

#include <StdNodalTriExp.h>

Inheritance diagram for Nektar::StdRegions::StdNodalTriExp:
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Public Member Functions

 StdNodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype)
 
 StdNodalTriExp ()=default
 
 StdNodalTriExp (const StdNodalTriExp &T)=default
 
 ~StdNodalTriExp () override=default
 
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 (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 
 StdTriExp ()=default
 
 StdTriExp (const StdTriExp &T)=default
 
 ~StdTriExp () override=default
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D
 StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 
 StdExpansion2D ()=default
 
 StdExpansion2D (const StdExpansion2D &T)=default
 
 ~StdExpansion2D () override=default
 
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. More...
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1)
 
NekDouble BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 
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. 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 GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th trace. More...
 
int GetTraceIntNcoeffs (const int i) const
 
int GetTraceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th trace. More...
 
const LibUtilities::BasisKey GetTraceBasisKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
LibUtilities::PointsKey GetTracePointsKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNtraces () 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...
 
std::shared_ptr< StdExpansion > GetStdExp () const
 
std::shared_ptr< StdExpansion > GetLinStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion () const
 
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 FwdTransBndConstrained (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)
 
void IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, 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)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, 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)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
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 GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
 
void GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)
 
void GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
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 \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) 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 ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
 
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 LinearAdvectionMatrixOp (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)
 
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, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)
 
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...
 
NekDouble PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
 This function evaluates the basis function mode mode at a point coords 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...
 
void LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
 Convert local collapsed coordinates eta into local cartesian coordinate xi. More...
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
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 void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
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. More...
 
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. More...
 
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. More...
 
const LibUtilities::PointsKeyVector GetPointsKeys () const
 
DNekMatSharedPtr BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
 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...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
std::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
void GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 

Protected Member Functions

const LibUtilities::PointsKey v_GetNodalPointsKey () const override
 
bool v_IsNodalNonTensorialExp () override
 
void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Transform a given function from physical quadrature space to coefficient space. More...
 
void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Calculates the inner product of a given function f with the different modes of the expansion. More...
 
void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
 
void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override
 
int v_NumBndryCoeffs () const override
 
int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override
 
void v_GetTraceToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient=eForwards, int P=-1, int Q=-1) override
 
void v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation edgeOrient=eForwards) override
 
void v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override
 
void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override
 
void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey) override
 
DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey) override
 
- Protected Member Functions inherited from Nektar::StdRegions::StdTriExp
NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray) override
 Integrates the specified function over the domain. More...
 
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) override
 Calculate the derivative of the physical points. More...
 
void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Calculate the derivative of the physical points in a given direction. More...
 
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) override
 
void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Backward tranform for triangular elements. More...
 
void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
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) override
 
void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Transform a given function from physical quadrature space to coefficient space. More...
 
void v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 Calculate the inner product of inarray with respect to the basis B=base0[p]*base1[pq] and put into outarray. More...
 
void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
 
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) override
 
void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) override
 
void v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi) override
 
void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override
 
NekDouble v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final
 
NekDouble v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override
 
int v_GetNverts () const final
 
int v_GetNtraces () const final
 
LibUtilities::ShapeType v_DetShapeType () const final
 
int v_NumBndryCoeffs () const override
 
int v_NumDGBndryCoeffs () const override
 
int v_GetTraceNcoeffs (const int i) const override
 
int v_GetTraceIntNcoeffs (const int i) const override
 
int v_GetTraceNumPoints (const int i) const override
 
int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) override
 
void v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z) override
 
bool v_IsBoundaryInteriorExpansion () const override
 
const LibUtilities::BasisKey v_GetTraceBasisKey (const int i, const int j) const override
 
int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override
 
void v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override
 
void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override
 
void v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray) override
 
void v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation edgeOrient=eForwards) override
 
DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey) override
 
DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey) override
 
void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) override
 
void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey) override
 
void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
void v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true) override
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion2D
NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) override
 
NekDouble v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override
 
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)=0
 
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)=0
 
void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override
 
void v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray) override
 
void v_GetElmtTraceToTraceMap (const unsigned int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient, int P, int Q) override
 Determine the mapping to re-orientate the coefficients along the element trace (assumed to align with the standard element) into the orientation of the local trace given by edgeOrient. More...
 
void v_GetTraceToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient=eForwards, int P=-1, int Q=-1) override
 
void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) override
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
void BwdTrans_SumFac (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 IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, 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 LinearAdvectionMatrixOp_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)
 
virtual void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
 This function performs the barycentric interpolation of the polynomial stored in coord at a point physvals using barycentric interpolation weights in direction. More...
 
template<int DIR>
NekDouble BaryEvaluateBasis (const NekDouble &coord, const int &mode)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
 Helper function to pass an unused value by reference into BaryEvaluate. More...
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)
 

Protected Attributes

LibUtilities::PointsKey m_nodalPointsKey
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtr > m_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess > m_stdMatrixManager
 
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess > m_stdStaticCondMatrixManager
 

Detailed Description

Definition at line 43 of file StdNodalTriExp.h.

Constructor & Destructor Documentation

◆ StdNodalTriExp() [1/3]

Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::PointsType  Ntype 
)

Definition at line 42 of file StdNodalTriExp.cpp.

45 : StdExpansion(LibUtilities::StdTriData::getNumberOfCoefficients(
46 Ba.GetNumModes(), Bb.GetNumModes()),
47 2, Ba, Bb),
48 StdExpansion2D(LibUtilities::StdTriData::getNumberOfCoefficients(
49 Ba.GetNumModes(), Bb.GetNumModes()),
50 Ba, Bb),
51 StdTriExp(Ba, Bb), m_nodalPointsKey(Ba.GetNumModes(), Ntype)
52{
53 ASSERTL0(m_base[0]->GetNumModes() == m_base[1]->GetNumModes(),
54 "Nodal basis initiated with different orders in the a "
55 "and b directions");
56}
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:208
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:42
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1173
Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey
LibUtilities::PointsKey m_nodalPointsKey
Definition: StdNodalTriExp.h:70
Nektar::LibUtilities::StdTriData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb)
Definition: ShapeType.hpp:109

References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.

◆ StdNodalTriExp() [2/3]

Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( )
default

◆ StdNodalTriExp() [3/3]

Nektar::StdRegions::StdNodalTriExp::StdNodalTriExp ( const StdNodalTriExp &  T)
default

◆ ~StdNodalTriExp()

Nektar::StdRegions::StdNodalTriExp::~StdNodalTriExp ( )
overridedefault

Member Function Documentation

◆ GenNBasisTransMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::GenNBasisTransMatrix ( )

Definition at line 114 of file StdNodalTriExp.cpp.

115{
116 int i, j;
117 Array<OneD, const NekDouble> r, s;
118 Array<OneD, NekDouble> c(2);
119 DNekMatSharedPtr Mat;
120
121 Mat = MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs, m_ncoeffs);
122 GetNodalPoints(r, s);
123
124 // Store the values of m_phys in a temporary array
125 int nqtot = GetTotPoints();
126 Array<OneD, NekDouble> phys(nqtot);
127
128 for (i = 0; i < m_ncoeffs; ++i)
129 {
130 // fill physical space with mode i
131 StdTriExp::v_FillMode(i, phys);
132
133 // interpolate mode i to the Nodal points 'j' and
134 // store in outarray
135 for (j = 0; j < m_ncoeffs; ++j)
136 {
137 c[0] = r[j];
138 c[1] = s[j];
139 (*Mat)(j, i) = StdExpansion2D::v_PhysEvaluate(c, phys);
140 }
141 }
142 return Mat;
143}
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
Nektar::StdRegions::StdExpansion2D::v_PhysEvaluate
NekDouble v_PhysEvaluate(const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override
This function evaluates the expansion at a single (arbitrary) point of the domain.
Definition: StdExpansion2D.cpp:101
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:134
Nektar::StdRegions::StdNodalTriExp::GetNodalPoints
void GetNodalPoints(Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
Definition: StdNodalTriExp.cpp:108
Nektar::StdRegions::StdTriExp::v_FillMode
void v_FillMode(const int mode, Array< OneD, NekDouble > &outarray) override
Definition: StdTriExp.cpp:603
Nektar::DNekMatSharedPtr
std::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:75

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdTriExp::v_FillMode(), and Nektar::StdRegions::StdExpansion2D::v_PhysEvaluate().

Referenced by v_GenMatrix().

◆ GetNodalPoints()

void Nektar::StdRegions::StdNodalTriExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y 
)

Definition at line 108 of file StdNodalTriExp.cpp.

110{
111 LibUtilities::PointsManager()[m_nodalPointsKey]->GetPoints(x, y);
112}
Nektar::LibUtilities::PointsManager
PointsManagerT & PointsManager(void)
Definition: ManagerAccess.cpp:40

References m_nodalPointsKey, and Nektar::LibUtilities::PointsManager().

Referenced by GenNBasisTransMatrix().

◆ ModalToNodal()

void Nektar::StdRegions::StdNodalTriExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 95 of file StdNodalTriExp.cpp.

97{
98 StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this, NullConstFactorMap,
99 NullVarCoeffMap, m_nodalPointsKey.GetPointsType());
100 DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
101
102 // Multiply out matrix
103 NekVector<NekDouble> modal(m_ncoeffs, inarray, eWrapper);
104 NekVector<NekDouble> nodal(m_ncoeffs, outarray, eWrapper);
105 nodal = (*vdm) * modal;
106}
Nektar::LibUtilities::PointsKey::GetPointsType
PointsType GetPointsType() const
Definition: Points.h:90
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:603
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:367
Nektar::StdRegions::NullConstFactorMap
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:403
Nektar::StdRegions::NullVarCoeffMap
static VarCoeffMap NullVarCoeffMap
Definition: StdRegions.hpp:347

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by Nektar::GlobalMapping::UpdateGeometry().

◆ NodalToModal()

void Nektar::StdRegions::StdNodalTriExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 67 of file StdNodalTriExp.cpp.

69{
70 StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
71 NullConstFactorMap, NullVarCoeffMap,
72 m_nodalPointsKey.GetPointsType());
73 DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
74
75 NekVector<NekDouble> nodal(m_ncoeffs, inarray, eWrapper);
76 NekVector<NekDouble> modal(m_ncoeffs, outarray, eWrapper);
77 modal = (*inv_vdm) * nodal;
78}

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_BwdTrans_SumFac().

◆ NodalToModalTranspose()

void Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 81 of file StdNodalTriExp.cpp.

84{
85 StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
86 NullConstFactorMap, NullVarCoeffMap,
87 m_nodalPointsKey.GetPointsType());
88 DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
89
90 NekVector<NekDouble> nodal(m_ncoeffs, inarray, eCopy);
91 NekVector<NekDouble> modal(m_ncoeffs, outarray, eWrapper);
92 modal = Transpose(*inv_vdm) * nodal;
93}
Nektar::Transpose
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Definition: BlockMatrix.hpp:235

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and Nektar::Transpose().

Referenced by Nektar::LocalRegions::NodalTriExp::IProductWRTBase_SumFac(), Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_SumFac(), v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase_SumFac().

◆ v_BwdTrans()

void Nektar::StdRegions::StdNodalTriExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 149 of file StdNodalTriExp.cpp.

151{
152 v_BwdTrans_SumFac(inarray, outarray);
153}
Nektar::StdRegions::StdNodalTriExp::v_BwdTrans_SumFac
void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdNodalTriExp.cpp:155

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

◆ v_BwdTrans_SumFac()

void Nektar::StdRegions::StdNodalTriExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 155 of file StdNodalTriExp.cpp.

158{
159 Array<OneD, NekDouble> tmp(m_ncoeffs);
160 NodalToModal(inarray, tmp);
161 StdTriExp::v_BwdTrans_SumFac(tmp, outarray);
162}
Nektar::StdRegions::StdNodalTriExp::NodalToModal
void NodalToModal(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdNodalTriExp.cpp:67
Nektar::StdRegions::StdTriExp::v_BwdTrans_SumFac
void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdTriExp.cpp:223

References Nektar::StdRegions::StdExpansion::m_ncoeffs, NodalToModal(), and Nektar::StdRegions::StdTriExp::v_BwdTrans_SumFac().

Referenced by v_BwdTrans().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 386 of file StdNodalTriExp.cpp.

387{
388 return StdNodalTriExp::v_GenMatrix(mkey);
389}
Nektar::StdRegions::StdNodalTriExp::v_GenMatrix
DNekMatSharedPtr v_GenMatrix(const StdMatrixKey &mkey) override
Definition: StdNodalTriExp.cpp:369

References v_GenMatrix().

◆ v_FillMode()

void Nektar::StdRegions::StdNodalTriExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 219 of file StdNodalTriExp.cpp.

221{
222 ASSERTL2(mode >= m_ncoeffs,
223 "calling argument mode is larger than total expansion order");
224
225 Vmath::Zero(m_ncoeffs, outarray, 1);
226 outarray[mode] = 1.0;
227 v_BwdTrans(outarray, outarray);
228}
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed to...
Definition: ErrorUtil.hpp:265
Nektar::StdRegions::StdNodalTriExp::v_BwdTrans
void v_BwdTrans(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdNodalTriExp.cpp:149
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.hpp:273

References ASSERTL2, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_BwdTrans(), and Vmath::Zero().

◆ v_FwdTrans()

void Nektar::StdRegions::StdNodalTriExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Transform a given function from physical quadrature space to coefficient space.

See also
StdExpansion::FwdTrans

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 164 of file StdNodalTriExp.cpp.

166{
167 v_IProductWRTBase(inarray, outarray);
168
169 // get Mass matrix inverse
170 StdMatrixKey masskey(eInvMass, DetShapeType(), *this, NullConstFactorMap,
171 NullVarCoeffMap, m_nodalPointsKey.GetPointsType());
172 DNekMatSharedPtr matsys = GetStdMatrix(masskey);
173
174 // copy inarray in case inarray == outarray
175 NekVector<NekDouble> in(m_ncoeffs, outarray, eCopy);
176 NekVector<NekDouble> out(m_ncoeffs, outarray, eWrapper);
177
178 out = (*matsys) * in;
179}
Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase
void v_IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Calculates the inner product of a given function f with the different modes of the expansion.
Definition: StdNodalTriExp.cpp:185

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and v_IProductWRTBase().

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTriExp::v_GenMatrix ( const StdMatrixKey &  mkey)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 369 of file StdNodalTriExp.cpp.

370{
371 DNekMatSharedPtr Mat;
372
373 switch (mkey.GetMatrixType())
374 {
375 case eNBasisTrans:
376 Mat = GenNBasisTransMatrix();
377 break;
378 default:
379 Mat = StdExpansion::CreateGeneralMatrix(mkey);
380 break;
381 }
382
383 return Mat;
384}
Nektar::StdRegions::StdExpansion::CreateGeneralMatrix
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
Definition: StdExpansion.cpp:243

References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eNBasisTrans, GenNBasisTransMatrix(), and Nektar::StdRegions::StdMatrixKey::GetMatrixType().

Referenced by v_CreateStdMatrix().

◆ v_GetBoundaryMap()

void Nektar::StdRegions::StdNodalTriExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 351 of file StdNodalTriExp.cpp.

352{
353 unsigned int i;
354 if (outarray.size() != NumBndryCoeffs())
355 {
356 outarray = Array<OneD, unsigned int>(NumBndryCoeffs());
357 }
358
359 for (i = 0; i < NumBndryCoeffs(); i++)
360 {
361 outarray[i] = i;
362 }
363}

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

◆ v_GetInteriorMap()

void Nektar::StdRegions::StdNodalTriExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 337 of file StdNodalTriExp.cpp.

338{
339 unsigned int i;
340 if (outarray.size() != GetNcoeffs() - NumBndryCoeffs())
341 {
342 outarray = Array<OneD, unsigned int>(GetNcoeffs() - NumBndryCoeffs());
343 }
344
345 for (i = NumBndryCoeffs(); i < GetNcoeffs(); i++)
346 {
347 outarray[i - NumBndryCoeffs()] = i;
348 }
349}
Nektar::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:124

References Nektar::StdRegions::StdExpansion::GetNcoeffs(), and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

◆ v_GetNodalPointsKey()

const LibUtilities::PointsKey Nektar::StdRegions::StdNodalTriExp::v_GetNodalPointsKey ( ) const
inlineoverrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 72 of file StdNodalTriExp.h.

74 {
75 return m_nodalPointsKey;
76 };

References m_nodalPointsKey.

◆ v_GetTraceInteriorToElementMap()

void Nektar::StdRegions::StdNodalTriExp::v_GetTraceInteriorToElementMap ( const int  eid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
const Orientation  edgeOrient = eForwards 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 298 of file StdNodalTriExp.cpp.

301{
302 ASSERTL0(eid >= 0 && eid <= 2, "Local Edge ID must be between 0 and 2");
303
304 const int nEdgeIntCoeffs = GetTraceNcoeffs(eid) - 2;
305
306 if (maparray.size() != nEdgeIntCoeffs)
307 {
308 maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
309 }
310
311 if (signarray.size() != nEdgeIntCoeffs)
312 {
313 signarray = Array<OneD, int>(nEdgeIntCoeffs, 1);
314 }
315 else
316 {
317 fill(signarray.get(), signarray.get() + nEdgeIntCoeffs, 1);
318 }
319
320 Orientation orient = edgeOrient;
321 if (eid == 2)
322 {
323 orient = orient == eForwards ? eBackwards : eForwards;
324 }
325
326 for (int i = 0; i < nEdgeIntCoeffs; i++)
327 {
328 maparray[i] = eid * nEdgeIntCoeffs + 3 + i;
329 }
330
331 if (orient == eBackwards)
332 {
333 reverse(maparray.get(), maparray.get() + nEdgeIntCoeffs);
334 }
335}
Nektar::StdRegions::StdExpansion::GetTraceNcoeffs
int GetTraceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th trace.
Definition: StdExpansion.h:261

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, and Nektar::StdRegions::StdExpansion::GetTraceNcoeffs().

◆ v_GetTraceToElementMap()

void Nektar::StdRegions::StdNodalTriExp::v_GetTraceToElementMap ( const int  eid,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
Orientation  edgeOrient = eForwards,
int  P = -1,
int  Q = -1 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion2D.

Definition at line 251 of file StdNodalTriExp.cpp.

256{
257 ASSERTL0(eid >= 0 && eid <= 2, "Local Edge ID must be between 0 and 2");
258
259 const int nEdgeCoeffs = GetTraceNcoeffs(eid);
260
261 ASSERTL0(P == -1 || P == nEdgeCoeffs,
262 "Nodal triangle not set up to deal with variable "
263 "polynomial order.");
264
265 if (maparray.size() != nEdgeCoeffs)
266 {
267 maparray = Array<OneD, unsigned int>(nEdgeCoeffs);
268 }
269
270 if (signarray.size() != nEdgeCoeffs)
271 {
272 signarray = Array<OneD, int>(nEdgeCoeffs, 1);
273 }
274 else
275 {
276 fill(signarray.get(), signarray.get() + nEdgeCoeffs, 1);
277 }
278
279 Orientation orient = edgeOrient;
280 if (eid == 2)
281 {
282 orient = orient == eForwards ? eBackwards : eForwards;
283 }
284
285 maparray[0] = eid;
286 maparray[nEdgeCoeffs - 1] = eid == 2 ? 0 : eid + 1;
287 for (int i = 2; i < nEdgeCoeffs; i++)
288 {
289 maparray[i - 1] = eid * (nEdgeCoeffs - 2) + 1 + i;
290 }
291
292 if (orient == eBackwards)
293 {
294 reverse(maparray.get(), maparray.get() + nEdgeCoeffs);
295 }
296}
Nektar::LibUtilities::P
@ P
Monomial polynomials .
Definition: BasisType.h:62

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::StdRegions::StdExpansion::GetTraceNcoeffs(), and Nektar::LibUtilities::P.

◆ v_GetVertexMap()

int Nektar::StdRegions::StdNodalTriExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 243 of file StdNodalTriExp.cpp.

245{
246 ASSERTL0(localVertexId >= 0 && localVertexId <= 2,
247 "Local Vertex ID must be between 0 and 2");
248 return localVertexId;
249}

References ASSERTL0.

◆ v_HelmholtzMatrixOp()

void Nektar::StdRegions::StdNodalTriExp::v_HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 425 of file StdNodalTriExp.cpp.

428{
429 StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(inarray, outarray,
430 mkey);
431}
Nektar::StdRegions::StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl
void HelmholtzMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:986

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

◆ v_IProductWRTBase()

void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Calculates the inner product of a given function f with the different modes of the expansion.

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 185 of file StdNodalTriExp.cpp.

188{
189 v_IProductWRTBase_SumFac(inarray, outarray);
190}
Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase_SumFac
void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
Definition: StdNodalTriExp.cpp:192

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

◆ v_IProductWRTBase_SumFac()

void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 192 of file StdNodalTriExp.cpp.

195{
196 StdTriExp::v_IProductWRTBase_SumFac(inarray, outarray, multiplybyweights);
197 NodalToModalTranspose(outarray, outarray);
198}
Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose
void NodalToModalTranspose(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdNodalTriExp.cpp:81
Nektar::StdRegions::StdTriExp::v_IProductWRTBase_SumFac
void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override
Definition: StdTriExp.cpp:426

References NodalToModalTranspose(), and Nektar::StdRegions::StdTriExp::v_IProductWRTBase_SumFac().

Referenced by v_IProductWRTBase().

◆ v_IProductWRTDerivBase()

void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 200 of file StdNodalTriExp.cpp.

203{
204 v_IProductWRTDerivBase_SumFac(dir, inarray, outarray);
205}
Nektar::StdRegions::StdNodalTriExp::v_IProductWRTDerivBase_SumFac
void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdNodalTriExp.cpp:207

References v_IProductWRTDerivBase_SumFac().

◆ v_IProductWRTDerivBase_SumFac()

void Nektar::StdRegions::StdNodalTriExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 207 of file StdNodalTriExp.cpp.

210{
211 StdTriExp::v_IProductWRTDerivBase_SumFac(dir, inarray, outarray);
212 NodalToModalTranspose(outarray, outarray);
213}
Nektar::StdRegions::StdTriExp::v_IProductWRTDerivBase_SumFac
void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
Definition: StdTriExp.cpp:498

References NodalToModalTranspose(), and Nektar::StdRegions::StdTriExp::v_IProductWRTDerivBase_SumFac().

Referenced by v_IProductWRTDerivBase().

◆ v_IsNodalNonTensorialExp()

bool Nektar::StdRegions::StdNodalTriExp::v_IsNodalNonTensorialExp ( )
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 58 of file StdNodalTriExp.cpp.

59{
60 return true;
61}

◆ v_LaplacianMatrixOp() [1/2]

void Nektar::StdRegions::StdNodalTriExp::v_LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 402 of file StdNodalTriExp.cpp.

405{
406 StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(inarray, outarray,
407 mkey);
408}
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl
void LaplacianMatrixOp_MatFree_GenericImpl(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:780

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

◆ v_LaplacianMatrixOp() [2/2]

void Nektar::StdRegions::StdNodalTriExp::v_LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 410 of file StdNodalTriExp.cpp.

414{
415 StdExpansion::LaplacianMatrixOp_MatFree(k1, k2, inarray, outarray, mkey);
416}
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:1241

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

◆ v_MassMatrixOp()

void Nektar::StdRegions::StdNodalTriExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 395 of file StdNodalTriExp.cpp.

398{
399 StdExpansion::MassMatrixOp_MatFree(inarray, outarray, mkey);
400}
Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree
void MassMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:666

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

◆ v_NumBndryCoeffs()

int Nektar::StdRegions::StdNodalTriExp::v_NumBndryCoeffs ( ) const
overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 234 of file StdNodalTriExp.cpp.

235{
236 return 3 + (GetBasisNumModes(0) - 2) + 2 * (GetBasisNumModes(1) - 2);
237}
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:169

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

◆ v_WeakDerivMatrixOp()

void Nektar::StdRegions::StdNodalTriExp::v_WeakDerivMatrixOp ( const int  i,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::NodalTriExp.

Definition at line 418 of file StdNodalTriExp.cpp.

421{
422 StdExpansion::WeakDerivMatrixOp_MatFree(i, inarray, outarray, mkey);
423}
Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree
void WeakDerivMatrixOp_MatFree(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:825

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

Member Data Documentation

◆ m_nodalPointsKey

LibUtilities::PointsKey Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey
protected

Definition at line 70 of file StdNodalTriExp.h.

Referenced by Nektar::LocalRegions::NodalTriExp::CreateStdMatrix(), Nektar::LocalRegions::NodalTriExp::FwdTrans(), GetNodalPoints(), ModalToNodal(), NodalToModal(), NodalToModalTranspose(), v_FwdTrans(), Nektar::LocalRegions::NodalTriExp::v_GetLinStdExp(), v_GetNodalPointsKey(), and Nektar::LocalRegions::NodalTriExp::v_GetStdExp().

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