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

#include <feinterpol2d.h>

Inheritance diagram for oofem::FEInterpolation2d:

Collaboration diagram for oofem::FEInterpolation2d:

Public Member Functions
	FEInterpolation2d (int o, int ind1, int ind2)

virtual int	giveNsd ()
	Returns number of spatial dimensions. More...

virtual double	giveArea (const FEICellGeometry &cellgeo) const
	Computes the exact area. More...

virtual double	giveCharacteristicLength (const FEICellGeometry &cellgeo) const
	Returns a characteristic length of the geometry, typically a diagonal or edge length. More...

virtual int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo)
	Default implementation using Newton's method to find the local coordinates. More...

virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Gives the jacobian matrix at the local coordinates. More...

virtual bool	inside (const FloatArray &lcoords) const

Boundary interpolation services.
Boundary is defined as entity of one dimension lower than the interpolation represents
virtual void	boundaryEdgeGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

virtual void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Maps the local boundary coordinates to global. More...

virtual void	boundaryGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

virtual void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the normal on the requested boundary. More...

virtual double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Maps the local boundary coordinates to global. More...

Surface interpolation services
virtual void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

virtual void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More...

virtual double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the normal out of the surface at given point. More...

virtual void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates edge global coordinates from given local ones. More...

virtual double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the edge jacobian of transformation between local and global coordinates. More...

virtual void	boundarySurfaceGiveNodes (IntArray &answer, int boundary)
	Gives the boundary nodes for requested boundary number. More...

Edge interpolation services.
virtual void	computeLocalEdgeMapping (IntArray &edgeNodes, int iedge)=0

void	computeEdgeMapping (IntArray &edgeNodes, IntArray &elemNodes, int iedge)

virtual void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

virtual double	edgeEvalNormal (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the normal on the given edge. More...

virtual void	edgeEvaldNds (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More...

virtual void	edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates edge global coordinates from given local ones. More...

virtual double	edgeGiveTransformationJacobian (int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the edge Jacobian of transformation between local and global coordinates. More...

Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)

virtual	~FEInterpolation ()

virtual IRResultType	initializeFrom (InputRecord *ir)
	Initializes receiver according to object description stored in input record. More...

virtual int	giveNumberOfNodes () const
	Returns the number of geometric nodes of the receiver. More...

std::string	errorInfo (const char *func) const

virtual integrationDomain	giveIntegrationDomain () const =0
	Returns the integration domain of the interpolator. More...

virtual Element_Geometry_Type	giveGeometryType () const =0
	Returns the geometry type fo the interpolator. More...

int	giveInterpolationOrder ()
	Returns the interpolation order. More...

virtual void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the array of interpolation functions (shape functions) at given point. More...

virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of second derivatives of interpolation functions (shape functions) at given point. More...

virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	giveLocalNodeCoords (FloatMatrix &answer)
	Returns a matrix containing the local coordinates for each node corresponding to the interpolation. More...

virtual void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates global coordinates from given local ones. More...

virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation. More...

virtual IntegrationRule *	giveIntegrationRule (int order)
	Sets up a suitable integration rule for numerical integrating over volume. More...

virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundaryEdgeIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual integrationDomain	giveBoundarySurfaceIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundarySurfaceIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo)
	Computes the integral $\int_S n \cdot x \mathrm{d}s$ . More...

virtual integrationDomain	giveBoundaryIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundaryIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask)
	Returns indices (zero based) of nonzero basis functions for given knot span. More...

virtual int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan)
	Returns the number of nonzero basis functions at individual knot span,. More...

virtual bool	hasSubPatchFormulation ()
	Returns true, if receiver is formulated on sub-patch basis. More...

virtual const double const	giveKnotVector ()
	Returns the subdivision of patch parametric space. More...

virtual int	giveNumberOfKnotSpans (int dim)
	Returns the number of knot spans of the receiver. More...

virtual const FloatArray *	giveKnotValues (int dim)
	Returns the knot values of the receiver. More...

virtual const IntArray *	giveKnotMultiplicity (int dim)
	Returns the knot multiplicity of the receiver. More...

virtual int	giveNumberOfEdges () const
	Returns number of edges. More...

Protected Attributes
int	xind

int	yind

Protected Attributes inherited from oofem::FEInterpolation
int	order

Detailed Description

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

Definition at line 45 of file feinterpol2d.h.

Constructor & Destructor Documentation

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

inline

Definition at line 51 of file feinterpol2d.h.

Member Function Documentation

void oofem::FEInterpolation2d::boundaryEdgeEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

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 45 of file feinterpol2d.C.

References edgeEvalN().

void oofem::FEInterpolation2d::boundaryEdgeGiveNodes	(	IntArray &	answer,
		int	boundary
	)

virtual

Gives the boundary nodes for requested boundary number.

Parameters

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

Implements oofem::FEInterpolation.

Reimplemented in oofem::FEI2dLineLin.

Definition at line 40 of file feinterpol2d.C.

References computeLocalEdgeMapping().

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

virtual

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.

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

Definition at line 50 of file feinterpol2d.C.

References edgeGiveTransformationJacobian().

void oofem::FEInterpolation2d::boundaryEdgeLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

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 55 of file feinterpol2d.C.

References edgeLocal2global().

void oofem::FEInterpolation2d::boundaryEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

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 144 of file feinterpol2d.C.

References edgeEvalN().

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

virtual

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 149 of file feinterpol2d.C.

References edgeEvalNormal().

void oofem::FEInterpolation2d::boundaryGiveNodes	(	IntArray &	answer,
		int	boundary
	)

virtual

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 139 of file feinterpol2d.C.

References computeLocalEdgeMapping().

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

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

virtual

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.

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

Definition at line 154 of file feinterpol2d.C.

References edgeGiveTransformationJacobian().

Referenced by oofem::Tr21Stokes::computeBoundarySurfaceLoadVector(), and oofem::Tr1BubbleStokes::computeBoundarySurfaceLoadVector().

void oofem::FEInterpolation2d::boundaryLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

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 159 of file feinterpol2d.C.

References edgeLocal2global().

Referenced by oofem::Tr21Stokes::computeBoundarySurfaceLoadVector(), and oofem::Tr1BubbleStokes::computeBoundarySurfaceLoadVector().

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

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.

Implements oofem::FEInterpolation.

Definition at line 186 of file feinterpol2d.C.

References oofem::FEInterpolation::evaldNdx().

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

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.

Implements oofem::FEInterpolation.

Definition at line 181 of file feinterpol2d.C.

References oofem::FEInterpolation::evalN().

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

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.

Implements oofem::FEInterpolation.

Definition at line 192 of file feinterpol2d.C.

References oofem::FEInterpolation::giveTransformationJacobian().

void oofem::FEInterpolation2d::boundarySurfaceGiveNodes	(	IntArray &	answer,
		int	boundary
	)

virtual

Gives the boundary nodes for requested boundary number.

Parameters

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

Implements oofem::FEInterpolation.

Definition at line 211 of file feinterpol2d.C.

References oofem::IntArray::at(), oofem::FEInterpolation::giveNumberOfNodes(), and oofem::IntArray::resize().

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

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.

Implements oofem::FEInterpolation.

Definition at line 205 of file feinterpol2d.C.

References oofem::FEInterpolation::giveTransformationJacobian().

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

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.

Implements oofem::FEInterpolation.

Definition at line 199 of file feinterpol2d.C.

References oofem::FEInterpolation::local2global().

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

Definition at line 164 of file feinterpol2d.C.

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

virtual void oofem::FEInterpolation2d::computeLocalEdgeMapping	(	IntArray &	edgeNodes,
		int	iedge
	)

pure virtual

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

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

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

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

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

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

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

Referenced by boundaryEdgeEvalN(), and boundaryEvalN().

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

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

Referenced by boundaryEvalNormal(), and edgeGiveTransformationJacobian().

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

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

Definition at line 175 of file feinterpol2d.C.

References edgeEvalNormal().

virtual void oofem::FEInterpolation2d::edgeLocal2global	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

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

Referenced by boundaryEdgeLocal2Global(), and boundaryLocal2Global().

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

Definition at line 60 of file feinterpol2d.C.

References OOFEM_ERROR.

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

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.

Referenced by global2local().

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

virtual

Gives the jacobian matrix at the local coordinates.

Parameters

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

Reimplemented from oofem::FEInterpolation.

Reimplemented in oofem::FEI2dLineQuad.

Definition at line 112 of file feinterpol2d.C.

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

Referenced by oofem::Quad1MindlinShell3D::computeBmatrixAt(), and global2local().

virtual int oofem::FEInterpolation2d::giveNsd ( )

inlinevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 53 of file feinterpol2d.h.

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

virtual

Default implementation using Newton's method to find the local coordinates.

Can be overloaded if desired.

Implements oofem::FEInterpolation.

Reimplemented in oofem::FEI2dLineHermite, oofem::FEI2dLineQuad, oofem::FEI2dLineLin, oofem::FEI2dQuadLin, oofem::FEI2dTrLin, and oofem::FEI2dTrConst.

Definition at line 68 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(), and oofem::FloatArray::zero().

Referenced by oofem::TR21_2D_SUPG::LS_PCS_computeVOFFractions().

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

virtual

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

Definition at line 134 of file feinterpol2d.C.

References OOFEM_ERROR.

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

Member Data Documentation

int oofem::FEInterpolation2d::xind

protected

Definition at line 48 of file feinterpol2d.h.

int oofem::FEInterpolation2d::yind

protected

Definition at line 48 of file feinterpol2d.h.

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

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation