projects::hldo_sphere::debugging::DiracConvergenceTest Class Reference

Class to test the convergence of the Dirac operator. More...

#include </home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/debugging/dirac_convergence_test.h>

Public Member Functions
	DiracConvergenceTest (std::function< complex(const Eigen::Matrix< double, 3, 1 > &)> f_zero, std::function< Eigen::Matrix< complex, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)> f_one, std::function< complex(const Eigen::Matrix< double, 3, 1 > &)> f_two, double &k)
	Constructor setting all the functions and the reference k. More...
void	Compute (unsigned refinement_levels)
	Solves the dirac opeartor source problems up to the given refinement_level. More...

Private Attributes
std::function< complex(const Eigen::Matrix< double, 3, 1 > &)>	f_zero_
std::function< Eigen::Matrix< complex, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>	f_one_
std::function< complex(const Eigen::Matrix< double, 3, 1 > &)>	f_two_
double &	k_

Detailed Description

Class to test the convergence of the Dirac operator.

This test does only test convergence but not the convergence to a specific value. Morespecifically its used to test

\[ |\|u_k\| - \|u_{k-1}\|| \to 0 \]

The method Compute() computes a list of values stored in ./results/result_dirac_convergence_refimement_level.csv that can be used for plots

Definition at line 59 of file dirac_convergence_test.h.

Constructor & Destructor Documentation

DiracConvergenceTest()

projects::hldo_sphere::debugging::DiracConvergenceTest::DiracConvergenceTest ( std::function< complex(const Eigen::Matrix< double, 3, 1 > &)>  f_zero, std::function< Eigen::Matrix< complex, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>  f_one, std::function< complex(const Eigen::Matrix< double, 3, 1 > &)>  f_two, double &  k  )

inline

Constructor setting all the functions and the reference k.

Parameters

f_zero	load function corresponding to the analytical solution u_zero
f_one	load function corresponding to the analytical solution u_one
f_two	load function corresponding to the analytical solution u_two
k	reference used in all the functions such that changes of k affect the functions

Definition at line 72 of file dirac_convergence_test.h.

Member Function Documentation

Compute()

void projects::hldo_sphere::debugging::DiracConvergenceTest::Compute

(

unsigned

refinement_levels

)

Solves the dirac opeartor source problems up to the given refinement_level.

Solves the hodge laplacian source problems for the tensor product of passed refinement levels and ks.

Parameters

refinement_levels	integer maximal refinement level to compute
refinement_levels	integer list containig all the levels
ks	list of all ks to be used

Definition at line 17 of file dirac_convergence_test.cc.

References projects::hldo_sphere::mesh::SphereTriagMeshBuilder::Build(), projects::hldo_sphere::debugging::concat(), f_one_, f_two_, f_zero_, k_, lf::base::RefEl::kTria(), projects::hldo_sphere::post_processing::L2norm(), lf::quad::make_QuadRule(), projects::hldo_sphere::debugging::SolutionList::mu_one, projects::hldo_sphere::debugging::SolutionList::mu_two, projects::hldo_sphere::debugging::SolutionList::mu_zero, projects::hldo_sphere::operators::DiracOperatorSourceProblem::SetLoadFunctions(), projects::hldo_sphere::mesh::SphereTriagMeshBuilder::setRadius(), projects::hldo_sphere::mesh::SphereTriagMeshBuilder::setRefinementLevel(), and lf::geometry::Volume().

Member Data Documentation

f_one_

std::function<Eigen::Matrix<complex, 3, 1>( const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::debugging::DiracConvergenceTest::f_one_

private

Definition at line 95 of file dirac_convergence_test.h.

Referenced by Compute().

f_two_

std::function<complex(const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::debugging::DiracConvergenceTest::f_two_

private

Definition at line 96 of file dirac_convergence_test.h.

Referenced by Compute().

f_zero_

std::function<complex(const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::debugging::DiracConvergenceTest::f_zero_

private

Definition at line 92 of file dirac_convergence_test.h.

Referenced by Compute().

k_

double& projects::hldo_sphere::debugging::DiracConvergenceTest::k_

private

Definition at line 97 of file dirac_convergence_test.h.

Referenced by Compute().

---

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

• /home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/debugging/dirac_convergence_test.h
• /home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/debugging/dirac_convergence_test.cc