Class representing a 1d Hermitian cubic isoparametric interpolation. More...

#include <fei1dhermite.h>

Inheritance diagram for oofem::FEI1dHermite:

Collaboration diagram for oofem::FEI1dHermite:

Public Member Functions
	FEI1dHermite (int coordIndx)

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

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

virtual double	giveLength (const FEICellGeometry &cellgeo) const
	Computes the exact length. More...

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

virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	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	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates global coordinates from given local ones. More...

virtual int	global2local (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates local coordinates from given global ones. More...

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

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

Public Member Functions inherited from oofem::FEInterpolation1d
	FEInterpolation1d (int o)

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

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

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

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

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...

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...

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

int	giveInterpolationOrder ()
	Returns the interpolation order. 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	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Gives the jacobian matrix at the local coordinates. More...

virtual void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	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)=0
	Maps the local boundary coordinates to global. More...

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

virtual void	boundaryEdgeGiveNodes (IntArray &answer, int boundary)=0
	Gives the boundary nodes for requested boundary number. 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 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	cindx

Protected Attributes inherited from oofem::FEInterpolation
int	order

Detailed Description

Class representing a 1d Hermitian cubic isoparametric interpolation.

Author: Mikael Öhman

Definition at line 45 of file fei1dhermite.h.

Constructor & Destructor Documentation

oofem::FEI1dHermite::FEI1dHermite ( int coordIndx )

inline

Definition at line 51 of file fei1dhermite.h.

Member Function Documentation

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

virtual

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 75 of file fei1dhermite.C.

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

double oofem::FEI1dHermite::evaldNdx	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

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 57 of file fei1dhermite.C.

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

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

virtual

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 42 of file fei1dhermite.C.

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

Referenced by local2global().

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

inlinevirtual

Returns the geometry type fo the interpolator.

Implements oofem::FEInterpolation.

Definition at line 56 of file fei1dhermite.h.

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

inlinevirtual

Returns the integration domain of the interpolator.

Implements oofem::FEInterpolation.

Definition at line 55 of file fei1dhermite.h.

References oofem::_Line.

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

virtual

Computes the exact length.

Parameters

cellgeo Cell geometry for the element.

Returns: Length of geometry.

Reimplemented from oofem::FEInterpolation1d.

Definition at line 122 of file fei1dhermite.C.

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

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

virtual int oofem::FEI1dHermite::giveNumberOfNodes ( ) const

inlinevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 67 of file fei1dhermite.h.

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

virtual

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 114 of file fei1dhermite.C.

References giveLength().

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

virtual

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 100 of file fei1dhermite.C.

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

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

virtual

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 89 of file fei1dhermite.C.

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

Member Data Documentation

int oofem::FEI1dHermite::cindx

protected

Definition at line 48 of file fei1dhermite.h.

Referenced by 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

Member Function Documentation

Member Data Documentation