oofem::FEInterpolation2d Class Reference

#include <feinterpol2d.h>

Inheritance diagram for oofem::FEInterpolation2d:

Collaboration diagram for oofem::FEInterpolation2d:

Public Member Functions
	FEInterpolation2d (int o, int ind1, int ind2)
int	giveNsd (const Element_Geometry_Type) const override
virtual double	giveArea (const FEICellGeometry &cellgeo) const
virtual double	giveCharacteristicLength (const FEICellGeometry &cellgeo) const
int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) const override
void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
virtual bool	inside (const FloatArray &lcoords) const
Boundary interpolation services.
Boundary is defined as entity of one dimension lower than the interpolation represents
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	boundaryEdgeEvalNormal (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
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
Surface interpolation services
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
IntArray	boundarySurfaceGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
virtual FloatArrayF< 2 >	surfaceEvalBaseVectorsAt (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const override
virtual void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) const override
Edge interpolation services.
virtual IntArray	computeLocalEdgeMapping (int iedge) const =0
IntArray	computeEdgeMapping (const IntArray &elemNodes, int iedge) const
virtual void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	edgeEvalNormal (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual void	edgeEvaldNds (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
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
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 double	giveTransformationJacobian (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 std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
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 std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
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

Protected Attributes
int	xind
int	yind
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 45 of file feinterpol2d.h.

Constructor & Destructor Documentation

FEInterpolation2d()

oofem::FEInterpolation2d::FEInterpolation2d ( int o, int ind1, int ind2 )

inline

Definition at line 51 of file feinterpol2d.h.

References oofem::FEInterpolation::FEInterpolation(), xind, and yind.

Referenced by oofem::FEI2dLineConst::FEI2dLineConst(), oofem::FEI2dLineHermite::FEI2dLineHermite(), oofem::FEI2dLineLin::FEI2dLineLin(), oofem::FEI2dLineQuad::FEI2dLineQuad(), oofem::FEI2dQuadConst::FEI2dQuadConst(), oofem::FEI2dQuadLin::FEI2dQuadLin(), oofem::FEI2dQuadQuad::FEI2dQuadQuad(), oofem::FEI2dTrConst::FEI2dTrConst(), oofem::FEI2dTrLin::FEI2dTrLin(), and oofem::FEI2dTrQuad::FEI2dTrQuad().

Member Function Documentation

boundaryEdgeEvalN()

void oofem::FEInterpolation2d::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 46 of file feinterpol2d.C.

References edgeEvalN().

boundaryEdgeEvalNormal()

double oofem::FEInterpolation2d::boundaryEdgeEvalNormal ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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 feinterpol2d.C.

References edgeEvalNormal().

boundaryEdgeGiveNodes()

IntArray oofem::FEInterpolation2d::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 41 of file feinterpol2d.C.

References computeLocalEdgeMapping().

boundaryEdgeGiveTransformationJacobian()

double oofem::FEInterpolation2d::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 51 of file feinterpol2d.C.

References edgeGiveTransformationJacobian().

boundaryEdgeLocal2Global()

void oofem::FEInterpolation2d::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 56 of file feinterpol2d.C.

References edgeLocal2global().

boundaryEvalN()

void oofem::FEInterpolation2d::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 149 of file feinterpol2d.C.

References edgeEvalN().

boundaryEvalNormal()

double oofem::FEInterpolation2d::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 154 of file feinterpol2d.C.

References edgeEvalNormal().

boundaryGiveNodes()

IntArray oofem::FEInterpolation2d::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 144 of file feinterpol2d.C.

References computeLocalEdgeMapping().

Referenced by oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement().

boundaryGiveTransformationJacobian()

double oofem::FEInterpolation2d::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 159 of file feinterpol2d.C.

References edgeGiveTransformationJacobian().

boundaryLocal2Global()

void oofem::FEInterpolation2d::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 164 of file feinterpol2d.C.

References edgeLocal2global().

boundarySurfaceEvaldNdx()

void oofem::FEInterpolation2d::boundarySurfaceEvaldNdx ( FloatMatrix & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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 191 of file feinterpol2d.C.

References oofem::FEInterpolation::evaldNdx().

boundarySurfaceEvalN()

void oofem::FEInterpolation2d::boundarySurfaceEvalN ( FloatArray & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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 186 of file feinterpol2d.C.

References oofem::FEInterpolation::evalN().

boundarySurfaceEvalNormal()

double oofem::FEInterpolation2d::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 197 of file feinterpol2d.C.

References oofem::FEInterpolation::giveTransformationJacobian(), and oofem::Vec3().

boundarySurfaceGiveNodes()

IntArray oofem::FEInterpolation2d::boundarySurfaceGiveNodes ( 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 247 of file feinterpol2d.C.

References oofem::IntArray::enumerate(), and oofem::FEInterpolation::giveNumberOfNodes().

boundarySurfaceGiveTransformationJacobian()

double oofem::FEInterpolation2d::boundarySurfaceGiveTransformationJacobian ( int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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 241 of file feinterpol2d.C.

References oofem::FEInterpolation::giveTransformationJacobian().

boundarySurfaceLocal2global()

void oofem::FEInterpolation2d::boundarySurfaceLocal2global ( FloatArray & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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 235 of file feinterpol2d.C.

References oofem::FEInterpolation::local2global().

computeEdgeMapping()

IntArray oofem::FEInterpolation2d::computeEdgeMapping	(	const IntArray &	elemNodes,
		int	iedge ) const

Definition at line 169 of file feinterpol2d.C.

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

Referenced by computeLocalEdgeMapping().

computeLocalEdgeMapping()

virtual IntArray oofem::FEInterpolation2d::computeLocalEdgeMapping ( int iedge ) const

pure virtual

Implemented in oofem::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrConst, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

References computeEdgeMapping().

Referenced by boundaryEdgeGiveNodes(), boundaryGiveNodes(), computeEdgeMapping(), oofem::XfemElementInterface::partitionEdgeSegment(), and surfaceEvalBaseVectorsAt().

edgeEvaldNds()

virtual void oofem::FEInterpolation2d::edgeEvaldNds ( FloatArray & 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 array of derivatives, the member at i position contains value of \( \frac{\mathrm{d}N_i}{\mathrm{d}s} \).
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrConst, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

Referenced by oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), and oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement().

edgeEvalN()

virtual void oofem::FEInterpolation2d::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::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrConst, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

Referenced by boundaryEdgeEvalN(), and boundaryEvalN().

edgeEvalNormal()

virtual double oofem::FEInterpolation2d::edgeEvalNormal ( FloatArray & answer, int iedge, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

pure virtual

Evaluates the normal on the given edge.

Parameters

answer	Contains the evaluated normal.
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrConst, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

Referenced by boundaryEdgeEvalNormal(), boundaryEvalNormal(), and edgeGiveTransformationJacobian().

edgeGiveTransformationJacobian()

double oofem::FEInterpolation2d::edgeGiveTransformationJacobian ( int iedge, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

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 mapping on the given edge.

Reimplemented in oofem::FEI2dQuadLinAxi, oofem::FEI2dQuadQuadAxi, and oofem::FEI2dTrLinAxi.

Definition at line 180 of file feinterpol2d.C.

References edgeEvalNormal().

Referenced by boundaryEdgeGiveTransformationJacobian(), boundaryGiveTransformationJacobian(), oofem::FEI2dTrQuad::edgeEvaldNds(), oofem::FEI2dQuadLinAxi::edgeGiveTransformationJacobian(), oofem::FEI2dQuadQuadAxi::edgeGiveTransformationJacobian(), oofem::FEI2dTrLinAxi::edgeGiveTransformationJacobian(), and edgeLocal2global().

edgeLocal2global()

virtual void oofem::FEInterpolation2d::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::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrConst, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

References edgeGiveTransformationJacobian().

Referenced by boundaryEdgeLocal2Global(), and boundaryLocal2Global().

giveArea()

double oofem::FEInterpolation2d::giveArea ( const FEICellGeometry & cellgeo ) const

virtual

Computes the exact area.

Parameters

cellgeo

Cell geometry for the element.

Returns

Area of geometry.

Reimplemented in oofem::FEI2dLineConst, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

Definition at line 67 of file feinterpol2d.C.

References OOFEM_ERROR.

Referenced by oofem::Element::computeArea(), and giveCharacteristicLength().

giveCharacteristicLength()

virtual double oofem::FEInterpolation2d::giveCharacteristicLength ( const FEICellGeometry & cellgeo ) const

inlinevirtual

Returns a characteristic length of the geometry, typically a diagonal or edge length.

Parameters

cellgeo

Underlying cell geometry.

Returns

Square root of area.

Reimplemented in oofem::FEI2dQuadQuad.

Definition at line 67 of file feinterpol2d.h.

References giveArea().

Referenced by global2local().

giveJacobianMatrixAt()

void oofem::FEInterpolation2d::giveJacobianMatrixAt ( FloatMatrix & jacobianMatrix, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

Gives the jacobian matrix at the local coordinates.

Parameters

jacobianMatrix	The requested matrix.
lcoords	Local coordinates.
cellgeo	Element geometry.

Reimplemented from oofem::FEInterpolation.

Definition at line 118 of file feinterpol2d.C.

References oofem::FloatMatrix::at(), oofem::FEInterpolation::evaldNdxi(), oofem::FloatMatrix::giveNumberOfRows(), oofem::FloatMatrix::resize(), xind, and yind.

Referenced by global2local().

giveNsd()

int oofem::FEInterpolation2d::giveNsd ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 53 of file feinterpol2d.h.

global2local()

int oofem::FEInterpolation2d::global2local ( FloatArray & answer, const FloatArray & gcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

Default implementation using Newton's method to find the local coordinates. Can be overloaded if desired.

Implements oofem::FEInterpolation.

Definition at line 74 of file feinterpol2d.C.

References oofem::FloatArray::add(), oofem::FloatArray::computeNorm(), giveCharacteristicLength(), giveJacobianMatrixAt(), inside(), oofem::FEInterpolation::local2global(), OOFEM_WARNING, oofem::FloatArray::resize(), oofem::FloatMatrix::solveForRhs(), oofem::Vec2(), and oofem::FloatArray::zero().

inside()

bool oofem::FEInterpolation2d::inside ( const FloatArray & lcoords ) const

virtual

Reimplemented in oofem::FEI2dQuadConst, oofem::FEI2dQuadLin, oofem::FEI2dQuadQuad, oofem::FEI2dTrLin, and oofem::FEI2dTrQuad.

Definition at line 139 of file feinterpol2d.C.

References OOFEM_ERROR.

Referenced by oofem::FEI2dTrConst::global2local(), and global2local().

surfaceEvalBaseVectorsAt()

FloatArrayF< 2 > oofem::FEInterpolation2d::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 vector

Definition at line 205 of file feinterpol2d.C.

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

Referenced by oofem::FEContactSurface::computeContactPointLocalCoordinates_2d().

surfaceEvald2Ndxi2()

void oofem::FEInterpolation2d::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.

Reimplemented in oofem::FEI2dLineLin.

Definition at line 226 of file feinterpol2d.C.

References OOFEM_ERROR.

Referenced by oofem::FEContactSurface::computeContactPointLocalCoordinates_2d().

surfaceEvaldNdxi()

void oofem::FEInterpolation2d::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.

Reimplemented in oofem::FEI2dLineLin.

Definition at line 221 of file feinterpol2d.C.

References OOFEM_ERROR.

Referenced by surfaceEvalBaseVectorsAt().

Member Data Documentation

xind

int oofem::FEInterpolation2d::xind

protected

Definition at line 48 of file feinterpol2d.h.

Referenced by oofem::FEI2dQuadBiQuad::_evaldNdx(), oofem::FEI2dLineConst::edgeComputeLength(), oofem::FEI2dLineLin::edgeComputeLength(), oofem::FEI2dQuadConst::edgeComputeLength(), oofem::FEI2dQuadLin::edgeComputeLength(), oofem::FEI2dTrConst::edgeComputeLength(), oofem::FEI2dTrLin::edgeComputeLength(), oofem::FEI2dLineLin::edgeEvaldNds(), oofem::FEI2dLineQuad::edgeEvaldNds(), oofem::FEI2dTrQuad::edgeEvaldNds(), oofem::FEI2dLineConst::edgeEvalNormal(), oofem::FEI2dLineHermite::edgeEvalNormal(), oofem::FEI2dLineLin::edgeEvalNormal(), oofem::FEI2dLineQuad::edgeEvalNormal(), oofem::FEI2dQuadLin::edgeEvalNormal(), oofem::FEI2dQuadQuad::edgeEvalNormal(), oofem::FEI2dTrLin::edgeEvalNormal(), oofem::FEI2dTrQuad::edgeEvalNormal(), oofem::FEI2dQuadLin::edgeLocal2global(), oofem::FEI2dQuadQuad::edgeLocal2global(), oofem::FEI2dTrConst::edgeLocal2global(), oofem::FEI2dTrLin::edgeLocal2global(), oofem::FEI2dTrQuad::edgeLocal2global(), oofem::FEI2dTrQuad::evald2Ndx2(), oofem::FEI2dLineHermite::evaldNdx(), oofem::FEI2dQuadLin::evaldNdx(), oofem::FEI2dQuadQuad::evaldNdx(), oofem::FEI2dQuadQuad::evaldNdx(), oofem::FEI2dTrLin::evaldNdx(), oofem::FEI2dTrLin::evaldNdx(), oofem::FEI2dTrQuad::evaldNdx(), oofem::FEI2dTrQuad::evaldNdx(), oofem::FEI2dLineConst::evalNXIntegral(), oofem::FEI2dLineLin::evalNXIntegral(), oofem::FEI2dLineQuad::evalNXIntegral(), oofem::FEI2dQuadLin::evalNXIntegral(), oofem::FEI2dQuadQuad::evalNXIntegral(), oofem::FEI2dTrLin::evalNXIntegral(), oofem::FEI2dTrQuad::evalNXIntegral(), FEInterpolation2d(), oofem::FEI2dQuadLin::giveArea(), oofem::FEI2dQuadQuad::giveArea(), oofem::FEI2dTrLin::giveArea(), oofem::FEI2dTrQuad::giveArea(), oofem::FEI2dLineQuad::giveJacobianMatrixAt(), giveJacobianMatrixAt(), oofem::FEI2dLineHermite::giveLength(), oofem::FEI2dLineConst::giveTransformationJacobian(), oofem::FEI2dLineHermite::giveTransformationJacobian(), oofem::FEI2dLineLin::giveTransformationJacobian(), oofem::FEI2dLineQuad::giveTransformationJacobian(), oofem::FEI2dTrConst::giveTransformationJacobian(), oofem::FEI2dTrLin::giveTransformationJacobian(), oofem::FEI2dLineConst::global2local(), oofem::FEI2dLineHermite::global2local(), oofem::FEI2dLineLin::global2local(), oofem::FEI2dLineQuad::global2local(), oofem::FEI2dQuadLin::global2local(), oofem::FEI2dTrConst::global2local(), oofem::FEI2dTrLin::global2local(), oofem::FEI2dLineConst::local2global(), oofem::FEI2dLineHermite::local2global(), oofem::FEI2dLineLin::local2global(), oofem::FEI2dLineQuad::local2global(), oofem::FEI2dQuadConst::local2global(), oofem::FEI2dQuadLin::local2global(), oofem::FEI2dQuadQuad::local2global(), oofem::FEI2dTrConst::local2global(), oofem::FEI2dTrLin::local2global(), and oofem::FEI2dTrQuad::local2global().

yind

int oofem::FEInterpolation2d::yind

protected

Definition at line 48 of file feinterpol2d.h.

Referenced by oofem::FEI2dQuadBiQuad::_evaldNdx(), oofem::FEI2dLineConst::edgeComputeLength(), oofem::FEI2dLineLin::edgeComputeLength(), oofem::FEI2dQuadConst::edgeComputeLength(), oofem::FEI2dQuadLin::edgeComputeLength(), oofem::FEI2dTrConst::edgeComputeLength(), oofem::FEI2dTrLin::edgeComputeLength(), oofem::FEI2dLineLin::edgeEvaldNds(), oofem::FEI2dLineQuad::edgeEvaldNds(), oofem::FEI2dTrQuad::edgeEvaldNds(), oofem::FEI2dLineConst::edgeEvalNormal(), oofem::FEI2dLineHermite::edgeEvalNormal(), oofem::FEI2dLineLin::edgeEvalNormal(), oofem::FEI2dLineQuad::edgeEvalNormal(), oofem::FEI2dQuadLin::edgeEvalNormal(), oofem::FEI2dQuadQuad::edgeEvalNormal(), oofem::FEI2dTrLin::edgeEvalNormal(), oofem::FEI2dTrQuad::edgeEvalNormal(), oofem::FEI2dQuadLin::edgeLocal2global(), oofem::FEI2dQuadQuad::edgeLocal2global(), oofem::FEI2dTrConst::edgeLocal2global(), oofem::FEI2dTrLin::edgeLocal2global(), oofem::FEI2dTrQuad::edgeLocal2global(), oofem::FEI2dTrQuad::evald2Ndx2(), oofem::FEI2dLineHermite::evaldNdx(), oofem::FEI2dQuadLin::evaldNdx(), oofem::FEI2dQuadQuad::evaldNdx(), oofem::FEI2dQuadQuad::evaldNdx(), oofem::FEI2dTrLin::evaldNdx(), oofem::FEI2dTrLin::evaldNdx(), oofem::FEI2dTrQuad::evaldNdx(), oofem::FEI2dTrQuad::evaldNdx(), oofem::FEI2dLineConst::evalNXIntegral(), oofem::FEI2dLineLin::evalNXIntegral(), oofem::FEI2dLineQuad::evalNXIntegral(), oofem::FEI2dQuadLin::evalNXIntegral(), oofem::FEI2dQuadQuad::evalNXIntegral(), oofem::FEI2dTrLin::evalNXIntegral(), oofem::FEI2dTrQuad::evalNXIntegral(), FEInterpolation2d(), oofem::FEI2dQuadLin::giveArea(), oofem::FEI2dQuadQuad::giveArea(), oofem::FEI2dTrLin::giveArea(), oofem::FEI2dTrQuad::giveArea(), oofem::FEI2dLineQuad::giveJacobianMatrixAt(), giveJacobianMatrixAt(), oofem::FEI2dLineHermite::giveLength(), oofem::FEI2dLineConst::giveTransformationJacobian(), oofem::FEI2dLineHermite::giveTransformationJacobian(), oofem::FEI2dLineLin::giveTransformationJacobian(), oofem::FEI2dLineQuad::giveTransformationJacobian(), oofem::FEI2dTrConst::giveTransformationJacobian(), oofem::FEI2dTrLin::giveTransformationJacobian(), oofem::FEI2dLineConst::global2local(), oofem::FEI2dLineHermite::global2local(), oofem::FEI2dLineLin::global2local(), oofem::FEI2dLineQuad::global2local(), oofem::FEI2dQuadLin::global2local(), oofem::FEI2dTrConst::global2local(), oofem::FEI2dTrLin::global2local(), oofem::FEI2dLineConst::local2global(), oofem::FEI2dLineHermite::local2global(), oofem::FEI2dLineLin::local2global(), oofem::FEI2dLineQuad::local2global(), oofem::FEI2dQuadConst::local2global(), oofem::FEI2dQuadLin::local2global(), oofem::FEI2dQuadQuad::local2global(), oofem::FEI2dTrConst::local2global(), oofem::FEI2dTrLin::local2global(), and oofem::FEI2dTrQuad::local2global().

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

• feinterpol2d.h
• feinterpol2d.C