FEShapeQ1 Class Reference

Computation of Q1 shape function values. More...

#include <FETools.hh>

List of all members.

Public Types
typedef void(*	ShapeFunctionSpec )(PetscReal, PetscReal, FEFunctionGerm *)
	A table of function pointers, one for each shape function.
Public Member Functions
virtual	~FEShapeQ1 ()
virtual void	eval (PetscInt k, PetscReal x, PetscReal y, FEFunctionGerm *germ)
	Evaluate shape function k at (x,y) with values returned in germ.
Static Public Member Functions
static void	shape0 (PetscReal x, PetscReal y, FEFunctionGerm *value)
	Compute values and derivatives of the shape function supported at node 0.
static void	shape1 (PetscReal x, PetscReal y, FEFunctionGerm *value)
	Compute values and derivatives of the shape function supported at node 1.
static void	shape2 (PetscReal x, PetscReal y, FEFunctionGerm *value)
	Compute values and derivatives of the shape function supported at node 2.
static void	shape3 (PetscReal x, PetscReal y, FEFunctionGerm *value)
	Compute values and derivatives of the shape function supported at node 3.
Static Public Attributes
static const PetscInt	Nk = 4
	The number of basis shape functions.
static const ShapeFunctionSpec	shapeFunction [Nk]

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Detailed Description

Computation of Q1 shape function values.

The Q1 shape functions are bilinear functions. On a rectangular element, there are four (FEShapeQ1::Nk) basis functions, each equal to 1 at one vertex and equal to zero at the remainder.

The FEShapeQ1 class consolodates the computation of the values and derivatives of these basis functions.

Definition at line 176 of file FETools.hh.

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Member Typedef Documentation

typedef void(* ShapeFunctionSpec)(PetscReal, PetscReal, FEFunctionGerm *)

A table of function pointers, one for each shape function.

Definition at line 213 of file FETools.hh.

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Constructor & Destructor Documentation

virtual ~FEShapeQ1

(

)

[inline, virtual]

Definition at line 178 of file FETools.hh.

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Member Function Documentation

virtual void eval	(	PetscInt	k,
		PetscReal	x,
		PetscReal	y,
		FEFunctionGerm *	germ
	)		[inline, virtual]

Evaluate shape function k at (x,y) with values returned in germ.

Definition at line 217 of file FETools.hh.

References shapeFunction, and exactV::x.

Referenced by FEQuadrature::init().

static void shape0	(	PetscReal	x,
		PetscReal	y,
		FEFunctionGerm *	value
	)		[inline, static]

Compute values and derivatives of the shape function supported at node 0.

Definition at line 181 of file FETools.hh.

References FEFunctionGerm::dx, FEFunctionGerm::dy, FEFunctionGerm::val, and exactV::x.

static void shape1	(	PetscReal	x,
		PetscReal	y,
		FEFunctionGerm *	value
	)		[inline, static]

Compute values and derivatives of the shape function supported at node 1.

Definition at line 188 of file FETools.hh.

References FEFunctionGerm::dx, FEFunctionGerm::dy, FEFunctionGerm::val, and exactV::x.

static void shape2	(	PetscReal	x,
		PetscReal	y,
		FEFunctionGerm *	value
	)		[inline, static]

Compute values and derivatives of the shape function supported at node 2.

Definition at line 195 of file FETools.hh.

References FEFunctionGerm::dx, FEFunctionGerm::dy, FEFunctionGerm::val, and exactV::x.

static void shape3	(	PetscReal	x,
		PetscReal	y,
		FEFunctionGerm *	value
	)		[inline, static]

Compute values and derivatives of the shape function supported at node 3.

Definition at line 202 of file FETools.hh.

References FEFunctionGerm::dx, FEFunctionGerm::dy, FEFunctionGerm::val, and exactV::x.

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Member Data Documentation

const PetscInt Nk = 4 [static]

The number of basis shape functions.

Definition at line 210 of file FETools.hh.

const FEShapeQ1::ShapeFunctionSpec shapeFunction [static]

Initial value:

 
{FEShapeQ1::shape0, FEShapeQ1::shape1, FEShapeQ1::shape2, FEShapeQ1::shape3}

Definition at line 214 of file FETools.hh.

Referenced by eval().

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

• src/base/stressbalance/FETools.hh
• src/base/stressbalance/FETools.cc