projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR > Class Template Reference

Element Vector Provider for scalar valued load functions using picewise linear barycentric basis functions. More...

#include </home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/assemble/load_vector_provider.h>

Public Member Functions
	LoadVectorProvider (const std::function< SCALAR(const Eigen::Vector3d &)> &f)
	Constructor setting the load function. More...
Eigen::Matrix< SCALAR, Eigen::Dynamic, 1 >	Eval (const lf::mesh::Entity &entity) const
	Compute the element vector for some cell on the mesh. More...
bool	isActive (const lf::mesh::Entity &entity) const
	All entities are regarded as active. More...

Private Attributes
const std::function< SCALAR(const Eigen::Vector3d &)>	f_

Detailed Description

template<typename SCALAR>
class projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >

Element Vector Provider for scalar valued load functions using picewise linear barycentric basis functions.

The element matrix provider works in a 3 dimensional world with 2 dimensional triangular cells.

Template Parameters

SCALAR

either double or std::complex

The locally evaluated linear form is

\[ v \mapsto \int\limits_{K}\ f(\mathbf{x}) \cdot v(\mathbf{x}) \, dx, \quad f, v \in H^1(\Omega) \]

Details regarding the mathematical derivations can be found in the thesis Hodge-Laplacians and Dirac Operators on the Surface of the 3-Sphere section 4.2.3.

Note

This class complies with the type requirements for the template argument ENTITY_VECTOR_PROVIDER of the function lf::assemble::AssembleVectorLocally().

Only triangular meshes are supported

Definition at line 49 of file load_vector_provider.h.

Constructor & Destructor Documentation

LoadVectorProvider()

template<typename SCALAR >

projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::LoadVectorProvider ( const std::function< SCALAR(const Eigen::Vector3d &)> &  f )

inline

Constructor setting the load function.

Parameters

f	a SCALAR valued functor defined on the Mesh on which Eval() will be called

Definition at line 59 of file load_vector_provider.h.

Member Function Documentation

Eval()

template<typename SCALAR >

Eigen::Matrix< SCALAR, Eigen::Dynamic, 1 > projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::Eval ( const lf::mesh::Entity &  entity ) const

inline

Compute the element vector for some cell on the mesh.

Parameters

entity

the mesh cell to compute the element vector for

Returns

The element vector of the given cell

Note

Only triangular cells are supported

Definition at line 69 of file load_vector_provider.h.

References lf::uscalfe::FeLagrangeO1Tria< SCALAR >::EvalReferenceShapeFunctions(), projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::f_, lf::mesh::Entity::Geometry(), lf::base::RefEl::kTria(), lf::quad::make_TriaQR_EdgeMidpointRule(), lf::base::RefEl::NodeCoords(), and lf::mesh::Entity::RefEl().

isActive()

template<typename SCALAR >

bool projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::isActive ( const lf::mesh::Entity &  entity ) const

inline

All entities are regarded as active.

Definition at line 116 of file load_vector_provider.h.

Member Data Documentation

f_

template<typename SCALAR >

const std::function<SCALAR(const Eigen::Vector3d &)> projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::f_

private

Definition at line 119 of file load_vector_provider.h.

Referenced by projects::hldo_sphere::assemble::LoadVectorProvider< SCALAR >::Eval().

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/assemble/load_vector_provider.h