belfem::mesh::Cohomology Class Reference

Computes the cohomology groups H^k of a mesh complex. More...

#include <cl_Cohomology.hpp>

Public Member Functions
	Cohomology (SimplicialComplex *aSimplicialComplex, Mesh *aMesh)
	Cohomology (SimplicialComplex *aSimplicialComplex, Mesh *aMesh, BeltedTree *aBTree)
	~Cohomology ()
void	cohomologyGroupOfChainComplex ()
void	quotientGroup ()
void	generatorsOfCohomology ()
void	clean ()
void	check ()
void	create_kGeneratorsField (const uint k, Mesh *aMesh, string aFieldName)
Cell< Matrix< int > > &	get_CoboundaryMatrix ()
Cell< Cell< Cochain * > > &	get_Generators ()
void	updatekGeneratorsFromHomology (Cell< Chain * > &tkGenerators, const uint k)
Matrix< real >	coefficient_TMatrix (Cell< Chain * > &mkGenerators, const uint k)

Detailed Description

Computes the cohomology groups H^k of a mesh complex.

See also

Mathematical Theory Instruction File for Advanced Finite Element Code in Electromagnetism

Constructor & Destructor Documentation

Cohomology() [1/2]

belfem::mesh::Cohomology::Cohomology	(	SimplicialComplex *	aSimplicialComplex,
		Mesh *	aMesh )

Cohomology() [2/2]

belfem::mesh::Cohomology::Cohomology	(	SimplicialComplex *	aSimplicialComplex,
		Mesh *	aMesh,
		BeltedTree *	aBTree )

~Cohomology()

belfem::mesh::Cohomology::~Cohomology

(

)

Member Function Documentation

check()

void belfem::mesh::Cohomology::check

(

)

clean()

void belfem::mesh::Cohomology::clean

(

)

coefficient_TMatrix()

Matrix< real > belfem::mesh::Cohomology::coefficient_TMatrix	(	Cell< Chain * > &	mkGenerators,
		const uint	k )

cohomologyGroupOfChainComplex()

void belfem::mesh::Cohomology::cohomologyGroupOfChainComplex

(

)

create_kGeneratorsField()

void belfem::mesh::Cohomology::create_kGeneratorsField	(	const uint	k,
		Mesh *	aMesh,
		string	aFieldName )

generatorsOfCohomology()

void belfem::mesh::Cohomology::generatorsOfCohomology

(

)

get_CoboundaryMatrix()

Cell< Matrix< int > > & belfem::mesh::Cohomology::get_CoboundaryMatrix

(

)

get_Generators()

Cell< Cell< Cochain * > > & belfem::mesh::Cohomology::get_Generators

(

)

quotientGroup()

void belfem::mesh::Cohomology::quotientGroup

(

)

updatekGeneratorsFromHomology()

void belfem::mesh::Cohomology::updatekGeneratorsFromHomology	(	Cell< Chain * > &	tkGenerators,
		const uint	k )

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

• src/homology/cl_Cohomology.hpp
• src/homology/cl_Cohomology.cpp