HArDCore2D::Tests::L2Projection< BasisType > Class Template Reference

Compute the L2-orthogonal projection of a function. More...

#include <l2projection.hpp>

Public Types
typedef BasisType::FunctionValue	FunctionValue
typedef boost::multi_array< FunctionValue, 2 >	BasisEvaluation
typedef std::function< typename BasisType::FunctionValue(const Eigen::Vector2d &)>	FunctionType

Public Member Functions
	L2Projection (const BasisType &basis, QuadratureRule &quad, const BasisEvaluation &basis_quad)
	Constructor.
Eigen::VectorXd	compute (const FunctionType &f) const
	Compute the projection of a function.
double	squared_error (const FunctionType &f, const Eigen::VectorXd &f_dofs) const
double	error (const FunctionType &f, const Eigen::VectorXd &f_dofs) const
	Compute the error between the L2-orthogonal projection and the function.
const BasisEvaluation &	basisQuad ()
	Return the basis evaluation.

Detailed Description

template<typename BasisType>
class HArDCore2D::Tests::L2Projection< BasisType >

Compute the L2-orthogonal projection of a function.

Member Typedef Documentation

BasisEvaluation

template<typename BasisType >

typedef boost::multi_array<FunctionValue, 2> HArDCore2D::Tests::L2Projection< BasisType >::BasisEvaluation

FunctionType

template<typename BasisType >

typedef std::function<typename BasisType::FunctionValue(const Eigen::Vector2d &)> HArDCore2D::Tests::L2Projection< BasisType >::FunctionType

FunctionValue

template<typename BasisType >

typedef BasisType::FunctionValue HArDCore2D::Tests::L2Projection< BasisType >::FunctionValue

Constructor & Destructor Documentation

L2Projection()

template<typename BasisType >

HArDCore2D::Tests::L2Projection< BasisType >::L2Projection ( const BasisType &  basis, QuadratureRule &  quad, const BasisEvaluation &  basis_quad  )

inline

Constructor.

Parameters

basis	Basis for the space on which we project
quad	Quadrature rule
basis_quad	Evaluation of the basis at quadrature nodes

Member Function Documentation

basisQuad()

template<typename BasisType >

const BasisEvaluation & HArDCore2D::Tests::L2Projection< BasisType >::basisQuad ( )

inline

Return the basis evaluation.

compute()

template<typename BasisType >

Eigen::VectorXd HArDCore2D::Tests::L2Projection< BasisType >::compute ( const FunctionType &  f ) const

inline

Compute the projection of a function.

error()

template<typename BasisType >

double HArDCore2D::Tests::L2Projection< BasisType >::error ( const FunctionType &  f, const Eigen::VectorXd &  f_dofs  ) const

inline

Compute the error between the L2-orthogonal projection and the function.

squared_error()

template<typename BasisType >

double HArDCore2D::Tests::L2Projection< BasisType >::squared_error ( const FunctionType &  f, const Eigen::VectorXd &  f_dofs  ) const

inline

Compute the squared L2-error between the L2-orthogonal projection and the function

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

• TestCodes/test-DDRCore/l2projection.hpp