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

Element vector provider for piecewise constant whitney two forms. More...

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

Public Member Functions
	WhitneyTwoVectorProvider (const std::function< SCALAR(const Eigen::Vector3d &)> &f)
	Constructor. More...
Eigen::Matrix< SCALAR, Eigen::Dynamic, 1 >	Eval (const lf::mesh::Entity &entity) const
	Compute the element vector for some trinagle of 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::WhitneyTwoVectorProvider< SCALAR >

Element vector provider for piecewise constant whitney two forms.

Template Parameters

SCALAR

codomain type of the laodfunction

The linear form is given by

\[ \int\limits_K\! f\, q \,\mathrm{d}x, \quad f, q \in L^2(\partial \mathbb{S}) \]

As basis functions for q we use the cellwise constant functions.

Details regarding the mathematical derivations can be found in the thesis Hodge-Laplacians and Dirac Operators on the Surface of the 3-Sphere section 4.2.7.

Details regarding the mathematical derivations can be found in the thesis Hodge-Laplacians and Dirac Operators on the Surface of the 3-Sphere section 4.2.10.

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 whitney_two_vector_provider.h.

Constructor & Destructor Documentation

WhitneyTwoVectorProvider()

template<typename SCALAR >

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

inline

Constructor.

Parameters

f	A scalar valued function defined on the surface of the sphere linear form

Definition at line 56 of file whitney_two_vector_provider.h.

Member Function Documentation

Eval()

template<typename SCALAR >

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

inline

Compute the element vector for some trinagle of the mesh.

Parameters

entity

The mesh triangle to compute the element vector for

Returns

The element vector of the given triangle

Note

Only triangular cells are supported

Definition at line 67 of file whitney_two_vector_provider.h.

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

inline

All entities are regarded as active.

Definition at line 104 of file whitney_two_vector_provider.h.

Member Data Documentation

f_

template<typename SCALAR >

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

private

Definition at line 107 of file whitney_two_vector_provider.h.

Referenced by projects::hldo_sphere::assemble::WhitneyTwoVectorProvider< 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/whitney_two_vector_provider.h