DSEL-Variational-Formulation

Variational forms provided by the library. More...

Collaboration diagram for DSEL-Variational-Formulation:

Functions
template<typename ... Ts>
auto	Feel::form1 (Ts &&... v)
	create a linear form using named arguments More...
template<typename ... Ts>
auto	Feel::form2 (Ts &&... v)
	create a bi-linear form using named arguments More...
template<typename ExprT1 , typename ExprT2 > requires VfExpr<ExprT1> || VfExpr<ExprT2>
auto	Feel::vf::operator^ (ExprT1 &&__e1, ExprT2 &&__e2)
	provide pow expression e1^e2
template<typename ExprT1 , typename ExprT2 >
auto	Feel::vf::powImpl (ExprT1 &&__e1, ExprT2 &&__e2)
	provide pow expression e1^e2 More...
template<typename ExprT >
Expr< PrintExpr< ExprT > >	Feel::vf::print (ExprT v, std::string t="")
	print an expression during evaluation. More...
template<typename ... Ts>
auto	Feel::vf::project (Ts &&... v)
	projection/interpolation of an expresion onto a noal functionspace More...
template<typename T >
Expr< Rand< T > >	Feel::vf::rand ()
	provide random expression in ]lo,hi[ More...
template<typename T >
Expr< Rand< T > >	Feel::vf::rand (T lo, T hi)
	provide random expression in ]lo,hi[ More...
template<typename ExprT1 >
Expr< Val< typename mpl::if_< boost::is_arithmetic< ExprT1 >, mpl::identity< Cst< ExprT1 > >, mpl::identity< ExprT1 > >::type::type > >	val (ExprT1 const &__e1)
	precompute expression tensorThis allows for more efficient bi/linear form assembly

Detailed Description

Variational forms provided by the library.

Function Documentation

form1()

template<typename ... Ts>

auto Feel::form1

(

Ts &&...

v

)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/form.hpp>

create a linear form using named arguments

auto a = form1(_test=Xh, _backend=backend(_worldcomm=Xh->worldCommPtr()), _vector=backend->newVector( _test=Xh ) );
a = integrate(...);

Referenced by Feel::projector().

form2()

template<typename ... Ts>

auto Feel::form2

(

Ts &&...

v

)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/form.hpp>

create a bi-linear form using named arguments

auto a = form2(_test=Xh, _trial=Yh,  _backend=backend(_worldcomm=Xh->worldCommPtr()), _matrix=backend->newVector( _test=Xh, _trial=Yh ) );
a = integrate(...);

Parameters

_test	test space
_trial	trial space
_init	initialize the form (default: false)
_properties
_backend	algrebraic backend
_matrix	algebraic representation of the bilinear form
_pattern
_rowstart
_colstart
_name	name of the bilinear for; (default: bilinearform.a)

powImpl()

template<typename ExprT1 , typename ExprT2 >

auto Feel::vf::powImpl	(	ExprT1 &&	__e1,
		ExprT2 &&	__e2
	)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/pow.hpp>

provide pow expression e1^e2

std::cout << integrate( _range=elements(mesh), _expr=pow( Px(), Py() ) ).evaluate();

Referenced by Feel::vf::pow().

print()

template<typename ExprT >

Expr< PrintExpr< ExprT > > Feel::vf::print	(	ExprT	v,
		std::string	t = ""
	)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/print.hpp>

print an expression during evaluation.

This function is typically used for debugging purposes and it allows to check the numerical results of expressions and sub-expressions.

The following code prints the intermediary results of the evaluation of \(\int_\Omega x y\)

auto e = Px()*Py();
std::cout << integrate( _range=elements(mesh), _expr=print(e,"e=") ).evaluate();

Returns

the expression that was printed.

project()

template<typename ... Ts>

auto Feel::vf::project

(

Ts &&...

v

)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/projectors.hpp>

projection/interpolation of an expresion onto a noal functionspace

• _space the function space to project onto
• _range the range of mesh elements to apply the projection (the remaining parts are set to 0)
• _expr the expression to project
• _geomap the type of geomap to use (make sense only using high order meshes)
• _sum sum the multiple nodal contributions if applicable (false by default)

rand() [1/2]

template<typename T >

Expr< Rand< T > > Feel::vf::rand

(

)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/rand.hpp>

provide random expression in ]lo,hi[

Parameters

lo	lower end of the interval
hi	upper of the interval

rand() [2/2]

template<typename T >

Expr< Rand< T > > Feel::vf::rand	(	T	lo,
		T	hi
	)

#include </data/cemosis/github-actions-runner/actions-runner-feelpp-1/_work/feelpp/feelpp/feelpp/feel/feelvf/rand.hpp>

provide random expression in ]lo,hi[

Parameters

lo	lower end of the interval
hi	upper of the interval