#include <StdPointExp.h>

Inheritance diagram for Nektar::StdRegions::StdPointExp:

Public Member Functions
	StdPointExp ()

	StdPointExp (const LibUtilities::BasisKey &Ba)

	StdPointExp (const StdPointExp &T)
	Copy Constructor. More...

	~StdPointExp ()

Public Member Functions inherited from Nektar::StdRegions::StdExpansion0D
	StdExpansion0D ()

	StdExpansion0D (int numcoeffs, const LibUtilities::BasisKey &Ba)

	StdExpansion0D (const StdExpansion0D &T)

virtual	~StdExpansion0D ()

void	PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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 (void) const

std::shared_ptr< StdExpansion >	GetLinStdExp (void) const

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion ()

bool	IsNodalNonTensorialExp ()

void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Backward transformation from coefficient space to physical space. More...

void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Forward transformation from physical space to coefficient space. More...

void	FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
	This function integrates the specified function over the domain. More...

void	FillMode (const int mode, Array< OneD, NekDouble > &outarray)
	This function fills the array outarray with the mode-th mode of the expansion. More...

void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	this function calculates the inner product of a given function f with the different modes of the expansion More...

void	IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)

void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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	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	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, 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
virtual void	v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2)

virtual LibUtilities::ShapeType	v_DetShapeType () const

virtual void	v_BwdTrans (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. More...

virtual void	v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Calculates the inner product of a given function f with the different modes of the expansion. More...

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)

virtual void	v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)

virtual void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual DNekMatSharedPtr	v_GenMatrix (const StdMatrixKey &mkey)

virtual DNekMatSharedPtr	v_CreateStdMatrix (const StdMatrixKey &mkey)

Protected Member Functions inherited from Nektar::StdRegions::StdExpansion0D
virtual NekDouble	v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)

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_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	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	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>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
	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)

Private Member Functions
virtual int	v_GetNverts () const

virtual int	v_GetNtraces () const

virtual int	v_GetVertexMap (int localVertexId, bool useCoeffPacking=false)

Additional Inherited Members
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 48 of file StdPointExp.h.

Constructor & Destructor Documentation

◆ StdPointExp() [1/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( )

Definition at line 46 of file StdPointExp.cpp.

47 {

48 }

◆ StdPointExp() [2/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( const LibUtilities::BasisKey & Ba )

Definition at line 51 of file StdPointExp.cpp.

                                                               :
         StdExpansion(Ba.GetNumModes(), 1, Ba),
         StdExpansion0D(Ba.GetNumModes(),Ba)
         {
         }

◆ StdPointExp() [3/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( const StdPointExp & T )

Copy Constructor.

Definition at line 60 of file StdPointExp.cpp.

                                                     :
         StdExpansion(T),
         StdExpansion0D(T)
         {
         }

◆ ~StdPointExp()

Nektar::StdRegions::StdPointExp::~StdPointExp ( )

Definition at line 68 of file StdPointExp.cpp.

69 {

70 }

Member Function Documentation

◆ v_BwdTrans()

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

protectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 90 of file StdPointExp.cpp.

         {
             int  nquad = m_base[0]->GetNumPoints();
             
             if(m_base[0]->Collocation())
             {
                 Vmath::Vcopy(nquad, inarray, 1, outarray, 1);
             }
             else
             {
                 Blas::Dgemv('N',nquad,m_base[0]->GetNumModes(),1.0,
                             (m_base[0]->GetBdata()).get(),
                             nquad,&inarray[0],1,0.0,&outarray[0],1);
             }
         }

References Blas::Dgemv(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().

Referenced by v_BwdTrans_SumFac().

◆ v_BwdTrans_SumFac()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 190 of file StdPointExp.cpp.

         {
             v_BwdTrans(inarray, outarray);
         }

References v_BwdTrans().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPointExp::v_CreateStdMatrix ( const StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 276 of file StdPointExp.cpp.

         {
             return v_GenMatrix(mkey);
         }

References v_GenMatrix().

◆ v_DetShapeType()

LibUtilities::ShapeType Nektar::StdRegions::StdPointExp::v_DetShapeType ( ) const

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 73 of file StdPointExp.cpp.

         {
             return LibUtilities::ePoint;
         }

References Nektar::LibUtilities::ePoint.

Referenced by v_FwdTrans(), v_FwdTrans_BndConstrained(), and v_GenMatrix().

◆ v_FwdTrans()

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

protectedvirtual

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

See also: StdExpansion::FwdTrans

Implements Nektar::StdRegions::StdExpansion.

Definition at line 109 of file StdPointExp.cpp.

         {
             if(m_base[0]->Collocation())
             {
                 Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
             }
             else
             {
                 v_IProductWRTBase(inarray,outarray);
                 
                 // get Mass matrix inverse
                 StdMatrixKey      masskey(eInvMass,v_DetShapeType(),*this);
                 DNekMatSharedPtr  matsys = GetStdMatrix(masskey);
                 
                 NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
                 NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
                 
                 out = (*matsys)*in;
             }
         }

References Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_DetShapeType(), v_IProductWRTBase(), and Vmath::Vcopy().

◆ v_FwdTrans_BndConstrained()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 131 of file StdPointExp.cpp.

         {
             if(m_base[0]->Collocation())
             {
                 Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
             }
             else
             {
                 int nInteriorDofs = m_ncoeffs-2;
                 int offset = 0;
                 
                 switch(m_base[0]->GetBasisType())
                 {
                 case LibUtilities::eGLL_Lagrange:
                     {
                         offset = 1;
                     }
                     break;
                 case LibUtilities::eModified_A:
                 case LibUtilities::eModified_B:
                     {
                         offset = 2;
                     }
                     break;
                 default:
                     ASSERTL0(false,"This type of FwdTrans is not defined for this shapex type");
                 }
         
                 fill(outarray.get(), outarray.get()+m_ncoeffs, 0.0 );
                 
                 outarray[GetVertexMap(0)] = inarray[0];
                 outarray[GetVertexMap(1)] = inarray[m_base[0]->GetNumPoints()-1];
                 
                 if(m_ncoeffs>2)
                 {
                     // ideally, we would like to have tmp0 to be replaced by
                     // outarray (currently MassMatrixOp does not allow aliasing)
                     Array<OneD, NekDouble> tmp0(m_ncoeffs);
                     Array<OneD, NekDouble> tmp1(m_ncoeffs);
                     
                     StdMatrixKey      masskey(eMass,v_DetShapeType(),*this);
                     MassMatrixOp(outarray,tmp0,masskey);
                     v_IProductWRTBase(inarray,tmp1);
                     
                     Vmath::Vsub(m_ncoeffs, tmp1, 1, tmp0, 1, tmp1, 1);
                     
                     // get Mass matrix inverse (only of interior DOF)
                     DNekMatSharedPtr  matsys = (m_stdStaticCondMatrixManager[masskey])->GetBlock(1,1);
                     
                     Blas::Dgemv('N',nInteriorDofs,nInteriorDofs,1.0, &(matsys->GetPtr())[0],
                                 nInteriorDofs,tmp1.get()+offset,1,0.0,outarray.get()+offset,1);
                 }
             }
             
         }

References ASSERTL0, Blas::Dgemv(), Nektar::LibUtilities::eGLL_Lagrange, Nektar::StdRegions::eMass, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetVertexMap(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::m_stdStaticCondMatrixManager, Nektar::StdRegions::StdExpansion::MassMatrixOp(), v_DetShapeType(), v_IProductWRTBase(), Vmath::Vcopy(), and Vmath::Vsub().

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPointExp::v_GenMatrix ( const StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 246 of file StdPointExp.cpp.

         {
             DNekMatSharedPtr Mat;
             MatrixType mattype;
             
             switch(mattype = mkey.GetMatrixType())
             {
                 case eFwdTrans:
                 {
                     Mat = MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs,m_ncoeffs);
                     StdMatrixKey iprodkey(eIProductWRTBase,v_DetShapeType(),*this);
                     DNekMat &Iprod = *GetStdMatrix(iprodkey);
                     StdMatrixKey imasskey(eInvMass,v_DetShapeType(),*this);
                     DNekMat &Imass = *GetStdMatrix(imasskey);
                     
                     (*Mat) = Imass*Iprod;
                     
                 }
                 break;
             default:
                 {
                     Mat = StdExpansion::CreateGeneralMatrix(mkey);
                 }
                 break;
             }
             
             return Mat;
         }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eFwdTrans, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and v_DetShapeType().

Referenced by v_CreateStdMatrix().

◆ v_GetCoords()

void Nektar::StdRegions::StdPointExp::v_GetCoords	(	Array< OneD, NekDouble > &	coords_0,
		Array< OneD, NekDouble > &	coords_1,
		Array< OneD, NekDouble > &	coords_2
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PointExp.

Definition at line 79 of file StdPointExp.cpp.

         {
             boost::ignore_unused(coords_1, coords_2);
             Blas::Dcopy(GetNumPoints(0),(m_base[0]->GetZ()).get(),
                         1,&coords_0[0],1);
         }

References Blas::Dcopy(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetNtraces()

virtual int Nektar::StdRegions::StdPointExp::v_GetNtraces ( ) const

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion0D.

Definition at line 122 of file StdPointExp.h.

             {
                 return 0;
             }

◆ v_GetNverts()

virtual int Nektar::StdRegions::StdPointExp::v_GetNverts ( ) const

inlineprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 117 of file StdPointExp.h.

             {
                 return 1;
             }

◆ v_GetVertexMap()

virtual int Nektar::StdRegions::StdPointExp::v_GetVertexMap	(	int	localVertexId,
		bool	useCoeffPacking = `false`
	)

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 127 of file StdPointExp.h.

             {
                 boost::ignore_unused(localVertexId, useCoeffPacking);
                 ASSERTL2(localVertexId == 0,
                          "Only single point in StdPointExp!");
                 return 0;
             }

References ASSERTL2.

◆ v_IProductWRTBase() [1/2]

void Nektar::StdRegions::StdPointExp::v_IProductWRTBase	(	const Array< OneD, const NekDouble > &	base,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		int	coll_check
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 197 of file StdPointExp.cpp.

         {
             int    nquad = m_base[0]->GetNumPoints();
             Array<OneD, NekDouble> tmp(nquad);
             Array<OneD, const NekDouble> z =  m_base[0]->GetZ();
             Array<OneD, const NekDouble> w =  m_base[0]->GetW();
             
             Vmath::Vmul(nquad, inarray, 1, w, 1, tmp, 1);
             
             if(coll_check&&m_base[0]->Collocation())
             {
                 Vmath::Vcopy(nquad, tmp, 1, outarray, 1);
             }
             else
             {
                 Blas::Dgemv('T',nquad,m_ncoeffs,1.0,base.get(),nquad,
                             &tmp[0],1,0.0,outarray.get(),1);
             }
         }

References Blas::Dgemv(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Vmul().

◆ v_IProductWRTBase() [2/2]

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

protectedvirtual

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

Implements Nektar::StdRegions::StdExpansion.

Definition at line 220 of file StdPointExp.cpp.

         {
             v_IProductWRTBase(m_base[0]->GetBdata(),inarray,outarray,1);
         }

References Nektar::StdRegions::StdExpansion::m_base.

Referenced by v_FwdTrans(), v_FwdTrans_BndConstrained(), v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase().

◆ v_IProductWRTBase_SumFac()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 236 of file StdPointExp.cpp.

         {
             boost::ignore_unused(multiplybyweights);
             v_IProductWRTBase(m_base[0]->GetBdata(),inarray,outarray,1);
         }

References Nektar::StdRegions::StdExpansion::m_base, and v_IProductWRTBase().

◆ v_IProductWRTDerivBase()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 226 of file StdPointExp.cpp.

         {
             boost::ignore_unused(dir);
             ASSERTL1(dir >= 0 && dir < 1,"input dir is out of range");
             v_IProductWRTBase(m_base[0]->GetDbdata(),inarray,outarray,1);
         }

References ASSERTL1, Nektar::StdRegions::StdExpansion::m_base, and v_IProductWRTBase().

Public Member Functions

Protected Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ StdPointExp() [1/3]

◆ StdPointExp() [2/3]

◆ StdPointExp() [3/3]

◆ ~StdPointExp()

Member Function Documentation

◆ v_BwdTrans()

◆ v_BwdTrans_SumFac()

◆ v_CreateStdMatrix()

◆ v_DetShapeType()

◆ v_FwdTrans()

◆ v_FwdTrans_BndConstrained()

◆ v_GenMatrix()

◆ v_GetCoords()

◆ v_GetNtraces()

◆ v_GetNverts()

◆ v_GetVertexMap()

◆ v_IProductWRTBase() [1/2]

◆ v_IProductWRTBase() [2/2]

◆ v_IProductWRTBase_SumFac()

◆ v_IProductWRTDerivBase()