Element matrix provider for the bilinear form with cellwise constant basis functions. More...

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

Public Member Functions
	WhitneyTwoMassMatrixProvider ()
	Constructor. More...

Eigen::MatrixXd	Eval (const lf::mesh::Entity &entity) const
	Compute the element matrix for some cell of a mesh. More...

bool	isActive (const lf::mesh::Entity &entity) const
	All entities are regarded as active. More...

Detailed Description

Element matrix provider for the bilinear form with cellwise constant basis functions.

\[ (u, v) \mapsto \int\limits_{K} u \, v \ dx \]

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

Basis functions are the piecewise constant functions Hence the retuned matrix is of size 1x1 and contains the area of the cell

Details regarding the mathematical derivations can be found in the thesis Hodge-Laplacians and Dirac Operators on the Surface of the 3-Sphere section 4.2.9.

Note: This class complies with the type requirements for the template argument ENTITY_MATRIX_PROVIDER of the function lf::assemble::AssembleMatrixLocally().; Only triangular meshes are supported

Definition at line 41 of file whitney_two_mass_matrix_provider.h.

Constructor & Destructor Documentation

◆ WhitneyTwoMassMatrixProvider()

projects::hldo_sphere::assemble::WhitneyTwoMassMatrixProvider::WhitneyTwoMassMatrixProvider ( )

inline

Constructor.

Definition at line 46 of file whitney_two_mass_matrix_provider.h.

Member Function Documentation

◆ Eval()

Eigen::MatrixXd projects::hldo_sphere::assemble::WhitneyTwoMassMatrixProvider::Eval ( const lf::mesh::Entity & entity ) const

Compute the element matrix for some cell of a mesh.

Parameters

entity The mesh cell to compute the element matrix for

Returns: The 1 by 1 element matrix of the cell

Note: Only triangluar meshes are supported

Definition at line 11 of file whitney_two_mass_matrix_provider.cc.

References lf::mesh::Entity::Geometry(), lf::base::RefEl::kTria(), lf::mesh::Entity::RefEl(), and lf::geometry::Volume().

◆ isActive()

bool projects::hldo_sphere::assemble::WhitneyTwoMassMatrixProvider::isActive ( const lf::mesh::Entity & entity ) const

inline

All entities are regarded as active.

Definition at line 60 of file whitney_two_mass_matrix_provider.h.

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