projects::hldo_sphere::mesh::SphereTriagMeshBuilder Class Reference

A mesh builder for regular 3-Sphere. More...

#include </home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/mesh/sphere_triag_mesh_builder.h>

Public Member Functions
	SphereTriagMeshBuilder (std::unique_ptr< lf::mesh::MeshFactory > mesh_factory)
	Constructor. More...
void	setRadius (double r)
	Sets the radius. More...
void	setRefinementLevel (lf::base::size_type n)
	Set the refinement level. More...
std::shared_ptr< lf::mesh::Mesh >	Build ()
	Build the mesh. More...

Private Attributes
double	radius_
lf::base::size_type	refinement_level_
std::unique_ptr< lf::mesh::MeshFactory >	mesh_factory_

Detailed Description

A mesh builder for regular 3-Sphere.

The radius of the Sphere is controlled by setRadius(). The refinement level can be set with setRefinementLevel(). The refinement level indicates how fine the mesh should be inital structure (octahedron, see https://de.wikipedia.org/wiki/Octahedron) The radius defaults to 1.0 while refinement level defaults to 0.

Details regarding the implementation and its concepts can be found in the thesis Hodge Laplacians and Dirac Operators on the Surface of the 3-Sphere section 4.1.

Definition at line 33 of file sphere_triag_mesh_builder.h.

Constructor & Destructor Documentation

SphereTriagMeshBuilder()

projects::hldo_sphere::mesh::SphereTriagMeshBuilder::SphereTriagMeshBuilder ( std::unique_ptr< lf::mesh::MeshFactory >  mesh_factory )

inlineexplicit

Constructor.

Parameters

mesh_factory

A unique pointer to a mesh factory object used for the assembly of the mesh

Definition at line 40 of file sphere_triag_mesh_builder.h.

Member Function Documentation

Build()

std::shared_ptr< lf::mesh::Mesh > projects::hldo_sphere::mesh::SphereTriagMeshBuilder::Build

(

)

Build the mesh.

Returns

A shared pointer to a mesh in the form of a sphere. The radius is set with setRadius(r) and the refinement level is set with setRefinementLevel(n).

Definition at line 13 of file sphere_triag_mesh_builder.cc.

References lf::base::RefEl::kTria(), mesh_factory_, radius_, and refinement_level_.

Referenced by projects::hldo_sphere::debugging::WhitneyOneCurlTest::Compute(), projects::hldo_sphere::experiments::DiracOperatorExperiment::Compute(), projects::hldo_sphere::experiments::HodgeAndDiracExperiment::Compute(), projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute(), projects::hldo_sphere::debugging::DiracConvergenceTest::Compute(), and projects::hldo_sphere::debugging::WhitneyOneBasisExpansionCoeffs::Experiemnt().

setRadius()

void projects::hldo_sphere::mesh::SphereTriagMeshBuilder::setRadius ( double  r )

inline

Sets the radius.

Parameters

r	The radius of the sphere

requries r > 0

Definition at line 54 of file sphere_triag_mesh_builder.h.

References radius_.

Referenced by projects::hldo_sphere::debugging::WhitneyOneCurlTest::Compute(), projects::hldo_sphere::experiments::DiracOperatorExperiment::Compute(), projects::hldo_sphere::experiments::HodgeAndDiracExperiment::Compute(), projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute(), projects::hldo_sphere::debugging::DiracConvergenceTest::Compute(), and projects::hldo_sphere::debugging::WhitneyOneBasisExpansionCoeffs::Experiemnt().

setRefinementLevel()

void projects::hldo_sphere::mesh::SphereTriagMeshBuilder::setRefinementLevel ( lf::base::size_type  n )

inline

Set the refinement level.

Parameters

n	The nummber of refinements

The refinement level indicates by how fine the mesh should become. Inital structure (octahedron, see https://en.wikipedia.org/wiki/Octahedron) on which new vertices are introduced for every refinement level.

For refinement level l the mesh will have \( 2^{2l + 3} \) cells, \( 3 \cdot 2^{2l + 2} \) edges and \( 2^{2l + 2} + 2 \) vertices.

Definition at line 83 of file sphere_triag_mesh_builder.h.

References refinement_level_.

Referenced by projects::hldo_sphere::debugging::WhitneyOneCurlTest::Compute(), projects::hldo_sphere::experiments::DiracOperatorExperiment::Compute(), projects::hldo_sphere::experiments::HodgeAndDiracExperiment::Compute(), projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute(), projects::hldo_sphere::debugging::DiracConvergenceTest::Compute(), projects::hldo_sphere::operators::DiracOperator::DiracOperator(), projects::hldo_sphere::debugging::WhitneyOneBasisExpansionCoeffs::Experiemnt(), projects::hldo_sphere::operators::HodgeLaplaciansSourceProblems< SCALAR >::HodgeLaplaciansSourceProblems(), projects::hldo_sphere::debugging::WhitneyOneBasisExpansionCoeffs::WhitneyOneBasisExpansionCoeffs(), projects::hldo_sphere::operators::WhitneyOneHodgeLaplace< SCALAR >::WhitneyOneHodgeLaplace(), and projects::hldo_sphere::operators::WhitneyZeroHodgeLaplace< SCALAR >::WhitneyZeroHodgeLaplace().

Member Data Documentation

mesh_factory_

std::unique_ptr<lf::mesh::MeshFactory> projects::hldo_sphere::mesh::SphereTriagMeshBuilder::mesh_factory_

private

Definition at line 96 of file sphere_triag_mesh_builder.h.

Referenced by Build().

radius_

double projects::hldo_sphere::mesh::SphereTriagMeshBuilder::radius_

private

Definition at line 94 of file sphere_triag_mesh_builder.h.

Referenced by Build(), and setRadius().

refinement_level_

lf::base::size_type projects::hldo_sphere::mesh::SphereTriagMeshBuilder::refinement_level_

private

Definition at line 95 of file sphere_triag_mesh_builder.h.

Referenced by Build(), and setRefinementLevel().

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/mesh/sphere_triag_mesh_builder.h
• /home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/mesh/sphere_triag_mesh_builder.cc