oofem::FEI2dQuadBiQuad Class Reference

#include <fei2dquadbiquad.h>

Inheritance diagram for oofem::FEI2dQuadBiQuad:

Collaboration diagram for oofem::FEI2dQuadBiQuad:

Public Member Functions
	FEI2dQuadBiQuad (int ind1, int ind2)
std::pair< double, FloatMatrixF< 2, 9 > >	_evaldNdx (const FloatArrayF< 2 > &lcoords, const FEICellGeometry &cellgeo) const
void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	giveNumberOfNodes (const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const override
Public Member Functions inherited from oofem::FEI2dQuadQuad
	FEI2dQuadQuad (int ind1, int ind2)
integrationDomain	giveIntegrationDomain (const Element_Geometry_Type) const override
const Element_Geometry_Type	giveGeometryType () const override
const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) const override
integrationDomain	giveBoundaryIntegrationDomain (int ib, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundarySurfaceIntegrationDomain (int isurf, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundaryEdgeIntegrationDomain (int iedge, const Element_Geometry_Type) const override
	Returns boundary integration domain.
double	giveArea (const FEICellGeometry &cellgeo) const override
std::pair< double, FloatMatrixF< 2, 8 > >	evaldNdx (const FloatArrayF< 2 > &lcoords, const FEICellGeometry &cellgeo) const
void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	giveNumberOfNodes (const Element_Geometry_Type) const override
void	giveCellDofMans (IntArray &nodes, IntArray &internalDofMans, Element *elem) const override
	Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.
double	giveCharacteristicLength (const FEICellGeometry &cellgeo) const override
bool	inside (const FloatArray &lcoords) const override
IntArray	computeLocalEdgeMapping (int iedge) const override
void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	edgeEvaldNds (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	edgeEvalNormal (FloatArray &normal, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	evalNXIntegral (int iEdge, const FEICellGeometry &cellgeo) const override
std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const override
Public Member Functions inherited from oofem::FEInterpolation2d
	FEInterpolation2d (int o, int ind1, int ind2)
int	giveNsd (const Element_Geometry_Type) const override
int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) const override
void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
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
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
IntArray	computeEdgeMapping (const IntArray &elemNodes, int iedge) const
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)
int	giveInterpolationOrder () const
virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
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 void	initializeCell (Element *e) const
std::string	errorInfo (const char *func) const

Static Public Member Functions
static FloatArrayF< 9 >	evalN (const FloatArrayF< 2 > &lcoords)
static FloatMatrixF< 2, 9 >	evaldNdxi (const FloatArrayF< 2 > &lcoords)
Static Public Member Functions inherited from oofem::FEI2dQuadQuad
static FloatArrayF< 8 >	evalN (const FloatArrayF< 2 > &lcoords)
static FloatMatrixF< 2, 8 >	evaldNdxi (const FloatArrayF< 2 > &lcoords)

Additional Inherited Members
Protected Attributes inherited from oofem::FEInterpolation2d
int	xind
int	yind
Protected Attributes inherited from oofem::FEInterpolation
int	order = 0

Detailed Description

Class representing a 2d quadrilateral with bi-quadratic interpolation based on isoparametric coordinates. Local Node Numbering ^ eta | (4)–(7)–(3) | | | | (8) (9) (6)-->ksi | | | | (1)–(5)–(2) Everything regarding edges can be directly inherited by FEI2dQuadQuad.

Note

Untested.

Author

Mikael Öhman

Definition at line 57 of file fei2dquadbiquad.h.

Constructor & Destructor Documentation

FEI2dQuadBiQuad()

oofem::FEI2dQuadBiQuad::FEI2dQuadBiQuad ( int ind1, int ind2 )

inline

Definition at line 60 of file fei2dquadbiquad.h.

References oofem::FEI2dQuadQuad::FEI2dQuadQuad().

Member Function Documentation

_evaldNdx()

std::pair< double, FloatMatrixF< 2, 9 > > oofem::FEI2dQuadBiQuad::_evaldNdx	(	const FloatArrayF< 2 > &	lcoords,
		const FEICellGeometry &	cellgeo ) const

Todo

check transpose

Definition at line 172 of file fei2dquadbiquad.C.

References oofem::FloatArray::at(), oofem::FloatMatrixF< N, M >::at(), oofem::det(), oofem::dot(), evaldNdxi(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::inv(), oofem::FEInterpolation2d::xind, and oofem::FEInterpolation2d::yind.

evaldNdxi() [1/2]

FloatMatrixF< 2, 9 > oofem::FEI2dQuadBiQuad::evaldNdxi ( const FloatArrayF< 2 > & lcoords )

static

Definition at line 93 of file fei2dquadbiquad.C.

Referenced by _evaldNdx().

evaldNdxi() [2/2]

void oofem::FEI2dQuadBiQuad::evaldNdxi ( FloatMatrix & answer, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxij.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented from oofem::FEInterpolation.

Definition at line 128 of file fei2dquadbiquad.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), and oofem::FloatMatrix::resize().

evalN() [1/2]

FloatArrayF< 9 > oofem::FEI2dQuadBiQuad::evalN ( const FloatArrayF< 2 > & lcoords )

static

Definition at line 45 of file fei2dquadbiquad.C.

evalN() [2/2]

void oofem::FEI2dQuadBiQuad::evalN ( FloatArray & answer, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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

Parameters

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

Implements oofem::FEInterpolation.

Definition at line 67 of file fei2dquadbiquad.C.

References oofem::FloatArray::at(), and oofem::FloatArray::resize().

giveIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEI2dQuadBiQuad::giveIntegrationRule ( int order, const Element_Geometry_Type egt ) const

overridevirtual

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

Parameters

order

Polynomial order of integrand (should NOT including determinant of jacobian).

Reimplemented from oofem::FEInterpolation.

Definition at line 192 of file fei2dquadbiquad.C.

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

giveNumberOfNodes()

int oofem::FEI2dQuadBiQuad::giveNumberOfNodes ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 68 of file fei2dquadbiquad.h.

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

• fei2dquadbiquad.h
• fei2dquadbiquad.C