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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkFEMElement2DC0LinearTriangular.h,v $
Language: C++
Date: $Date: 2009-01-28 21:29:04 $
Version: $Revision: 1.7 $
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#ifndef __itkFEMElement2DC0LinearTriangular_h
#define __itkFEMElement2DC0LinearTriangular_h
#include "itkFEMElementStd.h"
namespace itk {
namespace fem {
/**
* \class Element2DC0LinearTriangular
* \brief 3-noded, linear, C0 continuous finite element in 2D space.
*/
class Element2DC0LinearTriangular : public ElementStd<3,2>
{
typedef ElementStd<3,2> TemplatedParentClass;
FEM_ABSTRACT_CLASS( Element2DC0LinearTriangular, TemplatedParentClass )
public:
//////////////////////////////////////////////////////////////////////////
/**
* Methods related to numeric integration
*/
enum { DefaultIntegrationOrder = 1 };
virtual void GetIntegrationPointAndWeight(unsigned int i, VectorType& pt, Float& w, unsigned int order) const;
virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const;
//////////////////////////////////////////////////////////////////////////
/**
* Methods related to the geometry of an element
*/
virtual VectorType ShapeFunctions( const VectorType& pt ) const;
virtual void ShapeFunctionDerivatives( const VectorType& pt, MatrixType& shapeD ) const;
// FIXME: Write a proper implementation
virtual bool GetLocalFromGlobalCoordinates( const VectorType& globalPt , VectorType& localPt) const;
// Since the Jacobian is not quadratic, we need to provide our
// own implementation of calculating the determinant and inverse.
virtual Float JacobianDeterminant( const VectorType& pt, const MatrixType* pJ = 0 ) const;
virtual void JacobianInverse( const VectorType& pt, MatrixType& invJ, const MatrixType* pJ = 0 ) const;
/**
* Draw the element on the specified device context
*/
#ifdef FEM_BUILD_VISUALIZATION
void Draw(CDC* pDC, Solution::ConstPointer sol) const;
#endif
/**
* Constants for integration rules.
*/
static const Float trigGaussRuleInfo[6][7][4];
/**
* Array that holds number of integration point for each order
* of numerical integration.
*/
static const unsigned int Nip[6];
};
}} // end namespace itk::fem
#endif // #ifndef __itkFEMElement2DC0LinearTriangular_h
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