LagrangeField2D Class Reference

Class for Lagrange-based finite element scalar fields in 2D. More...

#include <LagrangeField2D.h>

Inheritance diagram for LagrangeField2D:

Collaboration diagram for LagrangeField2D:

Public Member Functions
	LagrangeField2D (const ASMs2DLag *patch, const RealArray &v, char basis=1, char cmp=1, const char *name=nullptr)
	The constructor sets the number of space dimensions and fields. More...
virtual	~LagrangeField2D ()
	Empty destructor.
double	valueNode (size_t node) const override
	Computes the value in a given node/control point. More...
double	valueFE (const ItgPoint &x) const override
	Computes the value at a given local coordinate. More...
bool	gradFE (const ItgPoint &x, Vector &grad) const override
	Computes the gradient for a given local coordinate. More...
Public Member Functions inherited from FieldBase
virtual	~FieldBase ()
	Empty destructor.
size_t	getNoElm () const
	Returns the number of elements.
size_t	getNoNodes () const
	Returns the number of nodal/control points.
Public Member Functions inherited from Field
virtual	~Field ()
	Empty destructor.
const char *	getFieldName () const
	Returns the name of field.
virtual double	valueCoor (const Vec4 &x) const
	Computes the value at a given global coordinate. More...
virtual bool	valueGrid (RealArray &val, const int *npe) const
	Computes the value at a grid of visualization points. More...
virtual bool	gradCoor (const Vec4 &x, Vector &grad) const
	Computes the gradient for a given global/physical coordinate. More...
virtual bool	hessianFE (const ItgPoint &x, Matrix &H) const
	Computes the hessian for a given local coordinate. More...

Protected Types
using	IntMat = std::vector< std::vector< int > >
	Convenience type.

Protected Attributes
Matrix	coord
	Matrix of nodal coordinates.
IntMat	mnpc
	Matrix of element nodes.
int	p1
	Element order in first parameter direction.
int	p2
	Element order in second parameter direction.
Protected Attributes inherited from FieldBase
size_t	nelm
	Number of elements/knot-spans.
size_t	nno
	Number of nodes/control points.
Vector	values
	Nodal field values.
Protected Attributes inherited from Field
std::string	fname
	Name of the field.

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

Detailed Description

Class for Lagrange-based finite element scalar fields in 2D.

This class implements the methods required to evaluate a 2D Lagrange scalar field at a given point in parametrical or physical coordinates.

Constructor & Destructor Documentation

LagrangeField2D()

LagrangeField2D::LagrangeField2D	(	const ASMs2DLag *	patch,
		const RealArray &	v,
		char	basis = 1,
		char	cmp = 1,
		const char *	name = nullptr
	)

The constructor sets the number of space dimensions and fields.

Parameters

[in]	patch	The spline patch on which the field is to be defined
[in]	v	Array of control point field values
[in]	basis	Basis to use from patch
[in]	cmp	Component to use
[in]	name	Name of field

References utl::vector< T >::begin(), coord, ASMs2DLag::getNodalCoordinates(), ASMbase::getNoElms(), ASMbase::getNoFields(), ASMs2D::getNoNodes(), ASMs2DLag::getOrder(), FieldBase::nelm, FieldBase::nno, p1, p2, utl::vector< T >::resize(), and FieldBase::values.

Member Function Documentation

gradFE()

bool LagrangeField2D::gradFE ( const ItgPoint &  x, Vector &  grad  ) const

overridevirtual

Computes the gradient for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	grad	Gradient of solution in a given local coordinate

Implements Field.

References Lagrange::computeBasis(), coord, ItgPoint::eta, utl::matrix< T >::fillColumn(), utl::matrix< T >::getColumn(), ItgPoint::iel, utl::Jacobian(), mnpc, utl::matrix< T >::multiply(), FieldBase::nelm, p1, p2, utl::vector< T >::resize(), FieldBase::values, and ItgPoint::xi.

valueFE()

double LagrangeField2D::valueFE ( const ItgPoint &  x ) const

overridevirtual

Computes the value at a given local coordinate.

Parameters

[in]

x

Local coordinate of evaluation point

Implements Field.

References Lagrange::computeBasis(), ItgPoint::eta, ItgPoint::iel, mnpc, FieldBase::nelm, p1, p2, FieldBase::values, and ItgPoint::xi.

valueNode()

double LagrangeField2D::valueNode ( size_t  node ) const

overridevirtual

Computes the value in a given node/control point.

Parameters

[in]

node

Node number

Implements Field.

References FieldBase::nno, and FieldBase::values.

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

• src/ASM/LagrangeField2D.h
• src/ASM/LagrangeField2D.C