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

#include <feinterpol1d.h>

Inheritance diagram for oofem::FEInterpolation1d:

Collaboration diagram for oofem::FEInterpolation1d:

Public Member Functions
	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 double	giveLength (const FEICellGeometry &cellgeo) const
	Computes the exact length. 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...

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...

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 int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo)=0
	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 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...

Additional Inherited Members
Protected Attributes inherited from oofem::FEInterpolation
int	order

Detailed Description

Class representing a general abstraction for finite element interpolation class.

Definition at line 44 of file feinterpol1d.h.

Constructor & Destructor Documentation

oofem::FEInterpolation1d::FEInterpolation1d ( int o )

inline

Definition at line 47 of file feinterpol1d.h.

Member Function Documentation

void oofem::FEInterpolation1d::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 42 of file feinterpol1d.C.

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

double oofem::FEInterpolation1d::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 53 of file feinterpol1d.C.

References OOFEM_ERROR.

void oofem::FEInterpolation1d::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 48 of file feinterpol1d.C.

References OOFEM_ERROR.

double oofem::FEInterpolation1d::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.

Definition at line 59 of file feinterpol1d.C.

void oofem::FEInterpolation1d::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 64 of file feinterpol1d.C.

References oofem::FEICellGeometry::giveVertexCoordinates().

virtual void oofem::FEInterpolation1d::boundarySurfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

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 61 of file feinterpol1d.h.

References OOFEM_ERROR.

virtual void oofem::FEInterpolation1d::boundarySurfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

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 60 of file feinterpol1d.h.

References OOFEM_ERROR.

virtual double oofem::FEInterpolation1d::boundarySurfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

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 64 of file feinterpol1d.h.

References OOFEM_ERROR.

virtual void oofem::FEInterpolation1d::boundarySurfaceGiveNodes	(	IntArray &	answer,
		int	boundary
	)

inlinevirtual

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 73 of file feinterpol1d.h.

References OOFEM_ERROR.

virtual double oofem::FEInterpolation1d::boundarySurfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

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 70 of file feinterpol1d.h.

References OOFEM_ERROR.

virtual void oofem::FEInterpolation1d::boundarySurfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

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 67 of file feinterpol1d.h.

References OOFEM_ERROR.

IntegrationRule * oofem::FEInterpolation1d::giveBoundaryEdgeIntegrationRule	(	int	order,
		int	boundary
	)

virtual

Sets up a suitable integration rule for integrating over the requested boundary.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 84 of file feinterpol1d.C.

References giveIntegrationRule().

IntegrationRule * oofem::FEInterpolation1d::giveBoundaryIntegrationRule	(	int	order,
		int	boundary
	)

virtual

Sets up a suitable integration rule for integrating over the requested boundary.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented from oofem::FEInterpolation.

Definition at line 77 of file feinterpol1d.C.

References oofem::IntegrationRule::SetUpPoint().

IntegrationRule * oofem::FEInterpolation1d::giveIntegrationRule ( int order )

virtual

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 69 of file feinterpol1d.C.

References oofem::_Line, oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::SetUpPointsOnLine().

Referenced by giveBoundaryEdgeIntegrationRule().

virtual double oofem::FEInterpolation1d::giveLength ( const FEICellGeometry & cellgeo ) const

inlinevirtual

Computes the exact length.

Parameters

cellgeo Cell geometry for the element.

Returns: Length of geometry.

Reimplemented in oofem::FEI1dLin, oofem::FEI1dQuad, and oofem::FEI1dHermite.

Definition at line 85 of file feinterpol1d.h.

References OOFEM_ERROR.

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

virtual int oofem::FEInterpolation1d::giveNsd ( )

inlinevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 48 of file feinterpol1d.h.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation