lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR > Class Template Reference

Class for computation of local load vector for linear finite elements. More...

#include <lf/uscalfe/uscalfe.h>

Public Types
using	ElemVec = Eigen::Matrix< SCALAR, 4, 1 >

Public Member Functions
	LinearFELocalLoadVector (FUNCTOR f)
	Constructor storing the right hand side function. More...
virtual bool	isActive (const lf::mesh::Entity &) const
	Default implement: all cells are active. More...
ElemVec	Eval (const lf::mesh::Entity &cell) const
	Main method for computing the element vector. More...

Private Attributes
FUNCTOR	f_

Detailed Description

template<typename SCALAR, typename FUNCTOR>
class lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >

Class for computation of local load vector for linear finite elements.

Template Parameters

FUNCTOR

object compatible with a MeshFunction type. This means that is must supply an evaluation operator of signature std::function<auto(const lf::mesh::Entity &cell,const Eigen::MatrixXd &)> which supplies the source function, see mesh::utils::MeshFunctionGlobal.

Computations employ edge midpoint quadrature.

Note

The element vector returned by the Eval() method will always have length 4 also for triangles.

This class complies with the requirements for the template parameter ENTITY_VECTOR_PROVIDER of the function AssembleVectorLocally().

TODO: Adjust size of vector returned.

Logger

This class logs additional information to LinearFeLocalLoadVectorLogger(). See Loggers and Debug output for more information.

Definition at line 126 of file lin_fe.h.

Member Typedef Documentation

ElemVec

template<typename SCALAR , typename FUNCTOR >

using lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >::ElemVec = Eigen::Matrix<SCALAR, 4, 1>

Definition at line 128 of file lin_fe.h.

Constructor & Destructor Documentation

LinearFELocalLoadVector()

template<typename SCALAR , typename FUNCTOR >

lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >::LinearFELocalLoadVector ( FUNCTOR  f )

inlineexplicit

Constructor storing the right hand side function.

Definition at line 131 of file lin_fe.h.

Member Function Documentation

Eval()

template<typename SCALAR , typename FUNCTOR >

LinearFELocalLoadVector< SCALAR, FUNCTOR >::ElemVec lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >::Eval

(

const lf::mesh::Entity &

cell

)

const

Main method for computing the element vector.

Parameters

cell	current cell for which the element vector is desired

The implementation uses simple edge midpoint based quadrature and an approximation of the volume of a cell just using the integration element at the barycenter.

Definition at line 164 of file lin_fe.h.

References lf::geometry::Geometry::DimGlobal(), lf::geometry::Geometry::DimLocal(), lf::mesh::Entity::Geometry(), lf::geometry::Geometry::Global(), lf::base::RefEl::kQuad(), lf::base::RefEl::kTria(), lf::uscalfe::LinearFeLocalLoadVectorLogger(), lf::base::RefEl::NumNodes(), lf::mesh::Entity::RefEl(), and lf::geometry::Volume().

isActive()

template<typename SCALAR , typename FUNCTOR >

virtual bool lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >::isActive ( const lf::mesh::Entity &  ) const

inlinevirtual

Default implement: all cells are active.

Definition at line 133 of file lin_fe.h.

Member Data Documentation

f_

template<typename SCALAR , typename FUNCTOR >

FUNCTOR lf::uscalfe::LinearFELocalLoadVector< SCALAR, FUNCTOR >::f_

private

f_(x) where x is a 2D vector provides the evaluation of the source function

Definition at line 150 of file lin_fe.h.

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/lib/lf/uscalfe/lin_fe.h