#include <fei1dhermite.h>

Inheritance diagram for oofem::FEI1dHermite:

Collaboration diagram for oofem::FEI1dHermite:

Public Member Functions
	FEI1dHermite (int coordIndx)
integrationDomain	giveIntegrationDomain (const Element_Geometry_Type) const override
const Element_Geometry_Type	giveGeometryType () const override
double	giveLength (const FEICellGeometry &cellgeo) const override
std::pair< double, FloatMatrixF< 1, 4 > >	evaldNdx (double ksi, const FEICellGeometry &cellgeo) const
FloatMatrixF< 1, 4 >	evald2Ndx2 (double ksi, 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	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	global2local (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	giveNumberOfNodes (const Element_Geometry_Type) const override
Public Member Functions inherited from oofem::FEInterpolation1d
	FEInterpolation1d (int o)
int	giveNsd (const Element_Geometry_Type) 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
const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) 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
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
std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) 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)
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	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual IntArray	boundaryEdgeGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const =0
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 void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const
virtual void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) 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

Protected Attributes
int	cindx
Protected Attributes inherited from oofem::FEInterpolation
int	order = 0

Detailed Description

Class representing a 1d Hermitian cubic isoparametric interpolation.

Author: Mikael Öhman

Definition at line 45 of file fei1dhermite.h.

Constructor & Destructor Documentation

◆ FEI1dHermite()

oofem::FEI1dHermite::FEI1dHermite ( int coordIndx )

inline

Definition at line 51 of file fei1dhermite.h.

References cindx, and oofem::FEInterpolation1d::FEInterpolation1d().

Member Function Documentation

◆ evald2Ndx2() [1/2]

FloatMatrixF< 1, 4 > oofem::FEI1dHermite::evald2Ndx2	(	double	ksi,
		const FEICellGeometry &	cellgeo ) const

Definition at line 92 of file fei1dhermite.C.

References giveLength().

◆ evald2Ndx2() [2/2]

void oofem::FEI1dHermite::evald2Ndx2	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the matrix of second derivatives of 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 dNi/dxj.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented from oofem::FEInterpolation.

Definition at line 105 of file fei1dhermite.C.

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

◆ evaldNdx() [1/2]

std::pair< double, FloatMatrixF< 1, 4 > > oofem::FEI1dHermite::evaldNdx	(	double	ksi,
		const FEICellGeometry &	cellgeo ) const

Definition at line 60 of file fei1dhermite.C.

References giveLength().

◆ evaldNdx() [2/2]

double oofem::FEI1dHermite::evaldNdx	(	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 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 dNi/dxj.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the Jacobian.

Implements oofem::FEInterpolation.

Definition at line 74 of file fei1dhermite.C.

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

◆ evalN()

void oofem::FEI1dHermite::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 45 of file fei1dhermite.C.

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

Referenced by local2global().

◆ giveGeometryType()

const Element_Geometry_Type oofem::FEI1dHermite::giveGeometryType ( ) const

inlineoverridevirtual

Returns the geometry type fo the interpolator.

Implements oofem::FEInterpolation.

Definition at line 54 of file fei1dhermite.h.

◆ giveIntegrationDomain()

integrationDomain oofem::FEI1dHermite::giveIntegrationDomain ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns the integration domain of the interpolator.

Implements oofem::FEInterpolation.

Definition at line 53 of file fei1dhermite.h.

References oofem::_Line.

◆ giveLength()

double oofem::FEI1dHermite::giveLength ( const FEICellGeometry & cellgeo ) const

overridevirtual

Computes the exact length.

Parameters

cellgeo Cell geometry for the element.

Returns: Length of geometry.

Reimplemented from oofem::FEInterpolation1d.

Definition at line 152 of file fei1dhermite.C.

References oofem::FloatArray::at(), cindx, and oofem::FEICellGeometry::giveVertexCoordinates().

Referenced by evald2Ndx2(), evald2Ndx2(), evaldNdx(), evaldNdx(), evalN(), and giveTransformationJacobian().

◆ giveNumberOfNodes()

int oofem::FEI1dHermite::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 fei1dhermite.h.

◆ giveTransformationJacobian()

double oofem::FEI1dHermite::giveTransformationJacobian	(	const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the determinant of the transformation.

Parameters

lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Reimplemented from oofem::FEInterpolation.

Definition at line 144 of file fei1dhermite.C.

References giveLength().

◆ global2local()

int oofem::FEI1dHermite::global2local	(	FloatArray &	answer,
		const FloatArray &	gcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates local coordinates from given global ones. If local coordinates cannot be found (generate elements, or point far outside geometry, then the center coordinate will be used as a last resort, and the return value will be zero.

Parameters

answer	Contains evaluated local coordinates.
gcoords	Array containing global coordinates.
cellgeo	Underlying cell geometry.

Returns: Nonzero is returned if point is within the element geometry, zero otherwise.

Implements oofem::FEInterpolation.

Definition at line 132 of file fei1dhermite.C.

References oofem::FloatArray::at(), cindx, oofem::clamp(), oofem::FEICellGeometry::giveVertexCoordinates(), and oofem::FloatArray::resize().

◆ local2global()

void oofem::FEI1dHermite::local2global	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates global coordinates from given local ones.

Parameters

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

Implements oofem::FEInterpolation.

Definition at line 120 of file fei1dhermite.C.

References oofem::FloatArray::at(), cindx, evalN(), oofem::FEICellGeometry::giveVertexCoordinates(), and oofem::FloatArray::resize().

Member Data Documentation

◆ cindx

int oofem::FEI1dHermite::cindx

protected

Definition at line 48 of file fei1dhermite.h.

Referenced by FEI1dHermite(), giveLength(), global2local(), and local2global().

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

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ FEI1dHermite()

Member Function Documentation

◆ evald2Ndx2() [1/2]

◆ evald2Ndx2() [2/2]

◆ evaldNdx() [1/2]

◆ evaldNdx() [2/2]

◆ evalN()

◆ giveGeometryType()

◆ giveIntegrationDomain()

◆ giveLength()

◆ giveNumberOfNodes()

◆ giveTransformationJacobian()

◆ global2local()

◆ local2global()

Member Data Documentation

◆ cindx