#include <feinterpol3d.h>

Inheritance diagram for oofem::FEInterpolation3d:

Collaboration diagram for oofem::FEInterpolation3d:

Public Member Functions
	FEInterpolation3d (int o)
int	giveNsd (const Element_Geometry_Type) const override
virtual double	giveVolume (const FEICellGeometry &cellgeo) const
IntArray	boundaryEdgeGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
FloatMatrixF< 3, 3 >	surfaceGiveJacobianMatrixAt (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
IntArray	boundaryGiveNodes (int boundary, const Element_Geometry_Type) const override
void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
Edge interpolation services
virtual void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	edgeEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	edgeEvaldNdx (FloatMatrix &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual void	edgeEvaldNdxi (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	edgeGiveTransformationJacobian (int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual IntArray	computeLocalEdgeMapping (int iedge) const =0
IntArray	computeEdgeMapping (const IntArray &elemNodes, int iedge) const
Surface interpolation services
virtual void	surfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual void	surfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual double	surfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const override
void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) const override
virtual std::tuple< FloatArrayF< 3 >, FloatArrayF< 3 > >	surfaceEvalBaseVectorsAt (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::tuple< double, FloatArrayF< 3 > >	surfaceEvalUnitNormal (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	surfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	surfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual IntArray	computeLocalSurfaceMapping (int isurf) const =0
IntArray	computeSurfaceMapping (const IntArray &elemNodes, int isurf) const
std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int _order, int boundary, const Element_Geometry_Type) const override
IntArray	boundarySurfaceGiveNodes (int boundary, Element_Geometry_Type, bool includeHierarchical=false) const override
Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)
virtual	~FEInterpolation ()=default
virtual void	initializeFrom (InputRecord &ir, ParameterManager &pm, int elnum, int priority)
	Initializes receiver according to object description stored in input record.
virtual void	postInitialize (ParameterManager &pm, int elnum)
virtual integrationDomain	giveIntegrationDomain (const Element_Geometry_Type) const =0
virtual const Element_Geometry_Type	giveGeometryType () const =0
int	giveInterpolationOrder () const
virtual void	giveCellDofMans (IntArray &nodes, IntArray &internalDofMans, Element *elem) const
	Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.
virtual void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) const =0
virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const
virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual integrationDomain	giveBoundarySurfaceIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo) const
virtual integrationDomain	giveBoundaryIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) const =0
virtual int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask) const
virtual int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan) const
virtual bool	hasSubPatchFormulation () const
virtual const FloatArray *	giveKnotVector () const
virtual int	giveNumberOfKnotSpans (int dim) const
virtual const FloatArray *	giveKnotValues (int dim) const
virtual const IntArray *	giveKnotMultiplicity (int dim) const
virtual int	giveNumberOfEdges (const Element_Geometry_Type) const
virtual int	giveNumberOfNodes (const Element_Geometry_Type) const
virtual void	initializeCell (Element *e) const
std::string	errorInfo (const char *func) const

Additional Inherited Members
Protected Attributes inherited from oofem::FEInterpolation
int	order = 0

Detailed Description

Class representing a general abstraction for surface finite element interpolation class.

Definition at line 44 of file feinterpol3d.h.

Constructor & Destructor Documentation

◆ FEInterpolation3d()

oofem::FEInterpolation3d::FEInterpolation3d ( int o )

inline

Definition at line 47 of file feinterpol3d.h.

References oofem::FEInterpolation::FEInterpolation().

Referenced by oofem::FEI3dHexaConst::FEI3dHexaConst(), oofem::FEI3dHexaLin::FEI3dHexaLin(), oofem::FEI3dHexaQuad::FEI3dHexaQuad(), oofem::FEI3dLineLin::FEI3dLineLin(), oofem::FEI3dQuadLin::FEI3dQuadLin(), oofem::FEI3dTetLin::FEI3dTetLin(), oofem::FEI3dTetQuad::FEI3dTetQuad(), oofem::FEI3dTrLin::FEI3dTrLin(), oofem::FEI3dTrQuad::FEI3dTrQuad(), oofem::FEI3dWedgeLin::FEI3dWedgeLin(), and oofem::FEI3dWedgeQuad::FEI3dWedgeQuad().

Member Function Documentation

◆ boundaryEdgeEvalN()

void oofem::FEInterpolation3d::boundaryEdgeEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the basis functions on the requested boundary. Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Todo

Implements oofem::FEInterpolation.

Definition at line 52 of file feinterpol3d.C.

References edgeEvalN().

◆ boundaryEdgeEvalNormal()

double oofem::FEInterpolation3d::boundaryEdgeEvalNormal	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the normal out of the edge at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Implements oofem::FEInterpolation.

Definition at line 61 of file feinterpol3d.h.

References edgeEvalNormal().

◆ boundaryEdgeGiveNodes()

IntArray oofem::FEInterpolation3d::boundaryEdgeGiveNodes	(	int	boundary,
		const Element_Geometry_Type	,
		bool	includeHierarchical = false ) const

overridevirtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.
includeHierarchical	If true, include hierarchical nodes, introduced by interpolations on universal cells (mpm)

Implements oofem::FEInterpolation.

Definition at line 47 of file feinterpol3d.C.

References computeLocalEdgeMapping().

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ boundaryEdgeGiveTransformationJacobian()

double oofem::FEInterpolation3d::boundaryEdgeGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the determinant of the transformation Jacobian on the requested boundary. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 57 of file feinterpol3d.C.

References edgeGiveTransformationJacobian().

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ boundaryEdgeLocal2Global()

void oofem::FEInterpolation3d::boundaryEdgeLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Maps the local boundary coordinates to global. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 62 of file feinterpol3d.C.

References edgeLocal2global().

◆ boundaryEvalN()

void oofem::FEInterpolation3d::boundaryEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the basis functions on the requested boundary. Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 72 of file feinterpol3d.C.

References surfaceEvalN().

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ boundaryEvalNormal()

double oofem::FEInterpolation3d::boundaryEvalNormal	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the normal on the requested boundary.

Parameters

answer	The evaluated normal.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 77 of file feinterpol3d.C.

References surfaceEvalNormal().

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ boundaryGiveNodes()

IntArray oofem::FEInterpolation3d::boundaryGiveNodes	(	int	boundary,
		const Element_Geometry_Type	) const

overridevirtual

Gives the boundary nodes for requested boundary number. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.

Implements oofem::FEInterpolation.

Definition at line 67 of file feinterpol3d.C.

References computeLocalSurfaceMapping().

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ boundaryGiveTransformationJacobian()

double oofem::FEInterpolation3d::boundaryGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the determinant of the transformation Jacobian on the requested boundary. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implements oofem::FEInterpolation.

Definition at line 82 of file feinterpol3d.C.

References surfaceGiveTransformationJacobian().

◆ boundaryLocal2Global()

void oofem::FEInterpolation3d::boundaryLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Maps the local boundary coordinates to global. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 87 of file feinterpol3d.C.

References surfaceLocal2global().

◆ boundarySurfaceEvaldNdx()

void oofem::FEInterpolation3d::boundarySurfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 67 of file feinterpol3d.h.

References surfaceEvaldNdx().

◆ boundarySurfaceEvalN()

void oofem::FEInterpolation3d::boundarySurfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the array of edge interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
isurf	Surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 65 of file feinterpol3d.h.

References surfaceEvalN().

◆ boundarySurfaceEvalNormal()

double oofem::FEInterpolation3d::boundarySurfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the normal out of the surface at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Implements oofem::FEInterpolation.

Definition at line 218 of file feinterpol3d.C.

References N, and surfaceEvalUnitNormal().

◆ boundarySurfaceGiveNodes()

IntArray oofem::FEInterpolation3d::boundarySurfaceGiveNodes	(	int	boundary,
		Element_Geometry_Type	,
		bool	includeHierarchical = false ) const

overridevirtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.
includeHierarchical	If true, include hierarchical nodes, introduced by interpolations on universal cells (mpm)

Implements oofem::FEInterpolation.

Definition at line 137 of file feinterpol3d.C.

References computeLocalSurfaceMapping().

◆ boundarySurfaceGiveTransformationJacobian()

double oofem::FEInterpolation3d::boundarySurfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates the edge jacobian of transformation between local and global coordinates.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implements oofem::FEInterpolation.

Definition at line 72 of file feinterpol3d.h.

References surfaceGiveTransformationJacobian().

◆ boundarySurfaceLocal2global()

void oofem::FEInterpolation3d::boundarySurfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

inlineoverridevirtual

Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting global coordinates.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 70 of file feinterpol3d.h.

References surfaceLocal2global().

◆ computeEdgeMapping()

IntArray oofem::FEInterpolation3d::computeEdgeMapping	(	const IntArray &	elemNodes,
		int	iedge ) const

Definition at line 92 of file feinterpol3d.C.

References oofem::IntArray::at(), and computeLocalEdgeMapping().

Referenced by computeLocalEdgeMapping().

◆ computeLocalEdgeMapping()

virtual IntArray oofem::FEInterpolation3d::computeLocalEdgeMapping ( int iedge ) const

pure virtual

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References computeEdgeMapping().

Referenced by boundaryEdgeGiveNodes(), and computeEdgeMapping().

◆ computeLocalSurfaceMapping()

virtual IntArray oofem::FEInterpolation3d::computeLocalSurfaceMapping ( int isurf ) const

pure virtual

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dHexaTriQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References computeSurfaceMapping(), giveBoundaryEdgeIntegrationRule(), and oofem::FEInterpolation::order.

Referenced by boundaryGiveNodes(), boundarySurfaceGiveNodes(), computeSurfaceMapping(), and surfaceEvalBaseVectorsAt().

◆ computeSurfaceMapping()

IntArray oofem::FEInterpolation3d::computeSurfaceMapping	(	const IntArray &	elemNodes,
		int	isurf ) const

Definition at line 103 of file feinterpol3d.C.

References oofem::IntArray::at(), and computeLocalSurfaceMapping().

Referenced by computeLocalSurfaceMapping().

◆ edgeEvaldNdx()

virtual void oofem::FEInterpolation3d::edgeEvaldNdx	(	FloatMatrix &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in global coordinate system (where the nodal coordinates are defined)

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References edgeEvaldNdxi().

◆ edgeEvaldNdxi()

void oofem::FEInterpolation3d::edgeEvaldNdxi	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in local (parent) coordinate system

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dN_j/dxi_i.
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dQuadLin, oofem::FEI3dTrLin, and oofem::FEI3dTrQuad.

Definition at line 122 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by oofem::TransportGradientDirichlet::computeXi(), and edgeEvaldNdx().

◆ edgeEvalN()

virtual void oofem::FEInterpolation3d::edgeEvalN	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates the array of edge interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
iedge	Edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References edgeEvalNormal().

Referenced by boundaryEdgeEvalN().

◆ edgeEvalNormal()

double oofem::FEInterpolation3d::edgeEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the normal out of the edge at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Definition at line 132 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by boundaryEdgeEvalNormal(), and edgeEvalN().

◆ edgeGiveTransformationJacobian()

virtual double oofem::FEInterpolation3d::edgeGiveTransformationJacobian	(	int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates the edge jacobian of transformation between local and global coordinates.

Parameters

iedge	Determines edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

Referenced by boundaryEdgeGiveTransformationJacobian().

◆ edgeLocal2global()

virtual void oofem::FEInterpolation3d::edgeLocal2global	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting global coordinates.
iedge	Determines edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

Referenced by boundaryEdgeLocal2Global().

◆ giveBoundaryEdgeIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEInterpolation3d::giveBoundaryEdgeIntegrationRule	(	int	order,
		int	boundary,
		const Element_Geometry_Type	egt ) const

overridevirtual

Sets up a suitable integration rule for integrating over the requested boundary. The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 114 of file feinterpol3d.C.

References oofem::_Line, and oofem::FEInterpolation::order.

Referenced by computeLocalSurfaceMapping(), and oofem::TransportGradientDirichlet::computeXi().

◆ giveBoundaryIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEInterpolation3d::giveBoundaryIntegrationRule	(	int	order,
		int	boundary,
		const Element_Geometry_Type	egt ) const

inlineoverridevirtual

Sets up a suitable integration rule for integrating over the requested boundary. The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 234 of file feinterpol3d.h.

References OOFEM_ERROR.

Referenced by oofem::TransportGradientDirichlet::computeXi().

◆ giveNsd()

int oofem::FEInterpolation3d::giveNsd ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 48 of file feinterpol3d.h.

◆ giveVolume()

double oofem::FEInterpolation3d::giveVolume ( const FEICellGeometry & cellgeo ) const

virtual

Computes the exact volume.

Parameters

cellgeo Cell geometry for the element.

Returns: Volume of geometry.

Reimplemented in oofem::FEI3dLineLin, and oofem::FEI3dTetQuad.

Definition at line 42 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by oofem::Element::computeVolume().

◆ surfaceEvalBaseVectorsAt()

std::tuple< FloatArrayF< 3 >, FloatArrayF< 3 > > oofem::FEInterpolation3d::surfaceEvalBaseVectorsAt	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the tangent vectors of the surface at given point.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian .; tangent vectors

Definition at line 174 of file feinterpol3d.C.

References computeLocalSurfaceMapping(), oofem::FEICellGeometry::giveVertexCoordinates(), and surfaceEvaldNdxi().

Referenced by oofem::FEContactSurface::computeContactPointLocalCoordinates_3d(), surfaceEvalN(), surfaceEvalNormal(), surfaceEvalUnitNormal(), and surfaceGiveJacobianMatrixAt().

◆ surfaceEvald2Ndxi2()

void oofem::FEInterpolation3d::surfaceEvald2Ndxi2	(	FloatMatrix &	answer,
		const FloatArray &	lcoords ) const

overridevirtual

Evaluates the matrix of second derivatives of surface interpolation functions (shape functions) wrt parametric coordinates at given point.

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
lcoords	Array containing (local) coordinates.

Reimplemented from oofem::FEInterpolation.

Definition at line 167 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by oofem::FEContactSurface::computeContactPointLocalCoordinates_3d(), and surfaceEvalN().

◆ surfaceEvaldNdx()

void oofem::FEInterpolation3d::surfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, and oofem::FEI3dTrQuad.

Definition at line 127 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by boundarySurfaceEvaldNdx(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::TransportGradientDirichlet::computeXi(), and surfaceEvalN().

◆ surfaceEvaldNdxi()

void oofem::FEInterpolation3d::surfaceEvaldNdxi	(	FloatMatrix &	answer,
		const FloatArray &	lcoords ) const

overridevirtual

Evaluates the matrix of derivatives of surface interpolation functions (shape functions) wrt parametric coordinates at given point.

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
lcoords	Array containing (local) coordinates.

Reimplemented from oofem::FEInterpolation.

Definition at line 162 of file feinterpol3d.C.

References OOFEM_ERROR.

Referenced by surfaceEvalBaseVectorsAt(), and surfaceEvalN().

◆ surfaceEvalN()

virtual void oofem::FEInterpolation3d::surfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates the array of edge interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
isurf	Surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dHexaTriQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References surfaceEvalBaseVectorsAt(), surfaceEvald2Ndxi2(), surfaceEvaldNdx(), surfaceEvaldNdxi(), surfaceEvalNormal(), and surfaceEvalUnitNormal().

Referenced by boundaryEvalN(), and boundarySurfaceEvalN().

◆ surfaceEvalNormal()

double oofem::FEInterpolation3d::surfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the normal out of the surface at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Reimplemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dHexaTriQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, and oofem::FEI3dWedgeQuad.

Definition at line 143 of file feinterpol3d.C.

References oofem::cross(), oofem::norm(), and surfaceEvalBaseVectorsAt().

Referenced by boundaryEvalNormal(), and surfaceEvalN().

◆ surfaceEvalUnitNormal()

std::tuple< double, FloatArrayF< 3 > > oofem::FEInterpolation3d::surfaceEvalUnitNormal	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

virtual

Evaluates the unit normal out of the surface at given point.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian .; unit normal vector

Definition at line 153 of file feinterpol3d.C.

References oofem::cross(), oofem::norm(), and surfaceEvalBaseVectorsAt().

Referenced by boundarySurfaceEvalNormal(), surfaceEvalN(), and surfaceGiveTransformationJacobian().

◆ surfaceGiveJacobianMatrixAt()

FloatMatrixF< 3, 3 > oofem::FEInterpolation3d::surfaceGiveJacobianMatrixAt	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

Definition at line 191 of file feinterpol3d.C.

References oofem::cross(), oofem::FloatMatrixF< N, M >::setColumn(), and surfaceEvalBaseVectorsAt().

◆ surfaceGiveTransformationJacobian()

double oofem::FEInterpolation3d::surfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates the edge jacobian of transformation between local and global coordinates.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

Definition at line 207 of file feinterpol3d.C.

References N, and surfaceEvalUnitNormal().

Referenced by boundaryGiveTransformationJacobian(), boundarySurfaceGiveTransformationJacobian(), and surfaceLocal2global().

◆ surfaceLocal2global()

virtual void oofem::FEInterpolation3d::surfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

pure virtual

Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting global coordinates.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI3dHexaConst, oofem::FEI3dHexaLin, oofem::FEI3dHexaQuad, oofem::FEI3dLineLin, oofem::FEI3dQuadLin, oofem::FEI3dTetLin, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dTrQuad, oofem::FEI3dWedgeLin, and oofem::FEI3dWedgeQuad.

References surfaceGiveTransformationJacobian().

Referenced by boundaryLocal2Global(), and boundarySurfaceLocal2global().

The documentation for this class was generated from the following files:

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FEInterpolation3d()

Member Function Documentation

◆ boundaryEdgeEvalN()

◆ boundaryEdgeEvalNormal()

◆ boundaryEdgeGiveNodes()

◆ boundaryEdgeGiveTransformationJacobian()

◆ boundaryEdgeLocal2Global()

◆ boundaryEvalN()

◆ boundaryEvalNormal()

◆ boundaryGiveNodes()

◆ boundaryGiveTransformationJacobian()

◆ boundaryLocal2Global()

◆ boundarySurfaceEvaldNdx()

◆ boundarySurfaceEvalN()

◆ boundarySurfaceEvalNormal()

◆ boundarySurfaceGiveNodes()

◆ boundarySurfaceGiveTransformationJacobian()

◆ boundarySurfaceLocal2global()

◆ computeEdgeMapping()

◆ computeLocalEdgeMapping()

◆ computeLocalSurfaceMapping()

◆ computeSurfaceMapping()

◆ edgeEvaldNdx()

◆ edgeEvaldNdxi()

◆ edgeEvalN()

◆ edgeEvalNormal()

◆ edgeGiveTransformationJacobian()

◆ edgeLocal2global()

◆ giveBoundaryEdgeIntegrationRule()

◆ giveBoundaryIntegrationRule()

◆ giveNsd()

◆ giveVolume()

◆ surfaceEvalBaseVectorsAt()

◆ surfaceEvald2Ndxi2()

◆ surfaceEvaldNdx()

◆ surfaceEvaldNdxi()

◆ surfaceEvalN()

◆ surfaceEvalNormal()

◆ surfaceEvalUnitNormal()

◆ surfaceGiveJacobianMatrixAt()

◆ surfaceGiveTransformationJacobian()

◆ surfaceLocal2global()