AFEPack
函数
Functional命名空间参考

函数

template<class value_type , int DIM>
value_type L1Norm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type L2Norm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type L0Norm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type LpNorm (FEMFunction< value_type, DIM > &, double, int)
template<class value_type , int DIM>
value_type W11Seminorm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type H1Seminorm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type W1pSeminorm (FEMFunction< value_type, DIM > &, double, int)
template<class value_type , int DIM>
value_type W10Seminorm (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type meanValue (FEMFunction< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type meanValue (const Function< value_type > &, FEMSpace< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type L1Error (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type L2Error (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type L0Error (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type LpError (FEMFunction< value_type, DIM > &, const Function< value_type > &, double, int)
template<class value_type , int DIM>
value_type W11SemiError (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type H1SemiError (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type W1pSemiError (FEMFunction< value_type, DIM > &, const Function< value_type > &, double, int)
template<class value_type , int DIM>
value_type W10SemiError (FEMFunction< value_type, DIM > &, const Function< value_type > &, int)
template<class value_type , int DIM>
value_type L1Norm (const Function< value_type > &, FEMSpace< value_type, DIM > &, int)
template<class value_type , int DIM>
value_type L2Norm (const Function< value_type > &, FEMSpace< value_type, DIM > &, int)

详细描述

This namespace packs a list of functionals on a finite element function or several finite element functions. Those functionals are generally related with a numerical intergration on the whole domain.


函数文档

template<class value_type , int DIM>
template value_type Functional::H1SemiError ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::H1Seminorm ( FEMFunction< value_type, DIM > &  ,
int   
)

$H^1$ semi-norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::L0Error ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::L0Norm ( FEMFunction< value_type, DIM > &  ,
int   
)

$L^\infty$ norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::L1Error ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::L1Norm ( FEMFunction< value_type, DIM > &  ,
int   
)

$L^1$ norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::L1Norm ( const Function< value_type > &  ,
FEMSpace< value_type, DIM > &  ,
int   
)

$L^1$ norm of an analytic function.

template<class value_type , int DIM>
template value_type Functional::L2Error ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::L2Norm ( FEMFunction< value_type, DIM > &  ,
int   
)

$L^2$ norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::L2Norm ( const Function< value_type > &  ,
FEMSpace< value_type, DIM > &  ,
int   
)

$L^2$ norm of an analytic function.

template<class value_type , int DIM>
template value_type Functional::LpError ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
double  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::LpNorm ( FEMFunction< value_type, DIM > &  ,
double  ,
int   
)

$L^p$ norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::meanValue ( FEMFunction< value_type, DIM > &  ,
int   
)

Calculate the mean value of the finite elment function $ \int_\Omega u_h dx / | \Omega | $.

template<class value_type , int DIM>
template value_type Functional::meanValue ( const Function< value_type > &  ,
FEMSpace< value_type, DIM > &  ,
int   
)

Calculate the mean value of the analytic funcion by numberical integration in the given finite element space.

template<class value_type , int DIM>
template value_type Functional::W10SemiError ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::W10Seminorm ( FEMFunction< value_type, DIM > &  ,
int   
)

$W^{1,\infty}$ semi-norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::W11SemiError ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::W11Seminorm ( FEMFunction< value_type, DIM > &  ,
int   
)

$W^{1,1}$ semi-norm of a finite element function.

template<class value_type , int DIM>
template value_type Functional::W1pSemiError ( FEMFunction< value_type, DIM > &  ,
const Function< value_type > &  ,
double  ,
int   
)
template<class value_type , int DIM>
template value_type Functional::W1pSeminorm ( FEMFunction< value_type, DIM > &  ,
double  ,
int   
)

$W^{1,p}$ semi-norm of a finite element function.