SplineFields1D Class Reference

Class for spline-based finite element vector fields in 1D. More...

#include <SplineFields1D.h>

Inheritance diagram for SplineFields1D:

Collaboration diagram for SplineFields1D:

Public Member Functions
	SplineFields1D (const Go::SplineCurve *crv, const RealArray &v, int ncmp, const char *name=nullptr)
	Construct directly from curve. More...
virtual	~SplineFields1D ()
	Empty destructor.
virtual bool	valueFE (const ItgPoint &x, Vector &vals) const
	Computes the value for a given local coordinate. More...
virtual bool	gradFE (const ItgPoint &x, Matrix &grad) const
	Computes the gradient for a given local coordinate. More...
virtual bool	hessianFE (const ItgPoint &x, Matrix3D &H) const
	Computes the hessian for a given local coordinate. More...
Public Member Functions inherited from Fields
virtual	~Fields ()
	Empty destructor.
unsigned char	getNoFields () const
	Returns the number of field components.
size_t	getNoElm () const
	Returns the number of elements.
size_t	getNoNodes () const
	Returns the number of nodal/control points.
const char *	getFieldName () const
	Returns the name of field.
virtual bool	valueNode (size_t node, Vector &vals) const
	Computes the value at a given node/control point. More...
virtual bool	valueCoor (const Vec4 &x, Vector &vals) const
	Computes the value for a given global coordinate. More...
virtual bool	gradCoor (const Vec4 &x, Matrix &grad) const
	Computes the gradient for a given global coordinate. More...

Protected Attributes
const Go::SplineCurve *	curv
	Spline geometry description.
Protected Attributes inherited from Fields
unsigned char	nf
	Number of field components.
size_t	nelm
	Number of elements/knot-spans.
size_t	nno
	Number of nodes/control points.
std::string	fname
	Name of the field.
Vector	values
	Field values.

Private Attributes
unsigned char	nsd
	Number of space dimensions.

Additional Inherited Members
Static Public Member Functions inherited from Fields
static Fields *	create (const ASMbase *pch, const RealArray &v, char basis=1, int nf=0, const char *name=nullptr)
	Creates a dynamically allocated field object. More...
Protected Member Functions inherited from Fields
	Fields (const char *name=nullptr)
	The constructor sets the field name. More...

Detailed Description

Class for spline-based finite element vector fields in 1D.

This class implements the methods required to evaluate a 1D spline vector field at a given point in parametrical or physical coordinates.

Constructor & Destructor Documentation

SplineFields1D()

SplineFields1D::SplineFields1D	(	const Go::SplineCurve *	crv,
		const RealArray &	v,
		int	ncmp,
		const char *	name = nullptr
	)

Construct directly from curve.

Parameters

[in]	crv	The spline curve to use
[in]	v	Array of control point field values
[in]	ncmp	Number of field components
[in]	name	Name of spline field

References Fields::nf, nsd, and Fields::values.

Member Function Documentation

gradFE()

bool SplineFields1D::gradFE ( const ItgPoint &  x, Matrix &  grad  ) const

virtual

Computes the gradient for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	grad	Gradient at local point in given element

Implements Fields.

References curv, utl::matrixBase< T >::empty(), utl::matrix< T >::fillColumn(), utl::gather(), utl::Jacobian(), utl::matrix< T >::multiply(), Fields::nf, nsd, ItgPoint::u, and Fields::values.

hessianFE()

bool SplineFields1D::hessianFE ( const ItgPoint &  x, Matrix3D &  H  ) const

virtual

Computes the hessian for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	H	Hessian at local point in given element

Reimplemented from Fields.

References curv, utl::matrix< T >::fillColumn(), utl::matrix3d< T >::fillColumn(), utl::gather(), utl::Hessian(), utl::Jacobian(), utl::matrix3d< T >::multiply(), Fields::nf, nsd, ItgPoint::u, and Fields::values.

valueFE()

bool SplineFields1D::valueFE ( const ItgPoint &  x, Vector &  vals  ) const

virtual

Computes the value for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	vals	Values at local point in given element

Implements Fields.

References utl::vector< T >::add(), utl::matrix< T >::cols(), curv, utl::vector< T >::fill(), utl::gather(), utl::matrix< T >::getColumn(), Fields::nf, utl::vector< T >::ptr(), utl::vector< T >::resize(), ItgPoint::u, and Fields::values.

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

• src/ASM/SplineFields1D.h
• src/ASM/SplineFields1D.C