BiLinear2DFiniteElement Class Reference

Class for bilinear FE on quadrilateral. More...

#include <fe.hpp>

Inheritance diagram for BiLinear2DFiniteElement:

Collaboration diagram for BiLinear2DFiniteElement:

List of all members.

Public Member Functions
	BiLinear2DFiniteElement ()
	Construct a bilinear FE on quadrilateral.
virtual void	CalcShape (const IntegrationPoint &ip, Vector &shape) const
virtual void	CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const
virtual void	CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const
virtual void	ProjectDelta (int vertex, Vector &dofs) const

---

Detailed Description

Class for bilinear FE on quadrilateral.

Definition at line 334 of file fe.hpp.

---

Constructor & Destructor Documentation

BiLinear2DFiniteElement::BiLinear2DFiniteElement

(

)

Construct a bilinear FE on quadrilateral.

Definition at line 590 of file fe.cpp.

References IntegrationRule::IntPoint(), FiniteElement::Nodes, IntegrationPoint::x, and IntegrationPoint::y.

---

Member Function Documentation

void BiLinear2DFiniteElement::CalcDShape	(	const IntegrationPoint &	ip,
		DenseMatrix &	dshape
	)		const [virtual]

virtual function which evaluates the values of all partial derivatives of all shape functions at a given point ip and stores them in the matrix dshape (Dof x Dim) (4 x 2) so that each row contains the derivatives of one shape function

Implements FiniteElement.

Definition at line 612 of file fe.cpp.

References IntegrationPoint::x, and IntegrationPoint::y.

void BiLinear2DFiniteElement::CalcHessian	(	const IntegrationPoint &	ip,
		DenseMatrix &	h
	)		const [virtual]

each row of h contains the upper triangular part of the hessian of one shape function; the order in 2D is {u_xx, u_xy, u_yy}

Reimplemented from FiniteElement.

Definition at line 621 of file fe.cpp.

void BiLinear2DFiniteElement::CalcShape	(	const IntegrationPoint &	ip,
		Vector &	shape
	)		const [virtual]

virtual function which evaluates the values of all shape functions at a given point ip and stores them in the vector shape of dimension Dof (4)

Implements FiniteElement.

Definition at line 603 of file fe.cpp.

References IntegrationPoint::x, and IntegrationPoint::y.

virtual void BiLinear2DFiniteElement::ProjectDelta	(	int	vertex,
		Vector &	dofs
	)		const [inline, virtual]

Compute a representation (up to multiplicative constant) for the delta function at the vertex with the given index.

Reimplemented from FiniteElement.

Definition at line 353 of file fe.hpp.

---

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

• fe.hpp
• fe.cpp