Creates and solves the discretised Hodge Laplacian source problems for a given list of levels and values of k. More...

#include </home/nico/bildung/SemVI/thesis/lehrfempp/projects/hldo_sphere/experiments/hodge_laplacians/hodge_laplacian_experiment.h>

Public Member Functions
	HodgeLaplacianExperiment (std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)> u_zero, std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)> u_one, std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)> u_two, std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)> f_zero, std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)> f_one, std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)> f_two, double &k, std::string name)
	Constructor setting all the functions and the reference k. More...

void	Compute (std::vector< unsigned > refinement_levels, std::vector< double > ks)
	Solves the hodge laplacian source problems for the tensor product of passed refinement levels and ks. More...

Private Attributes
std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	u_zero_

std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>	u_one_

std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	u_two_

std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	f_zero_

std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>	f_one_

std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	f_two_

double &	k_

std::string	name_

Detailed Description

template<typename SCALAR>
class projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >

Creates and solves the discretised Hodge Laplacian source problems for a given list of levels and values of k.

Details about the experiments can be found in the thesis Hodge-Laplacians and Dirac Operators on the Surface of the 3-Sphere chapter 6.

Definition at line 44 of file hodge_laplacian_experiment.h.

Constructor & Destructor Documentation

◆ HodgeLaplacianExperiment()

template<typename SCALAR >

projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::HodgeLaplacianExperiment	(	std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	u_zero,
		std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>	u_one,
		std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	u_two,
		std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	f_zero,
		std::function< Eigen::Matrix< SCALAR, 3, 1 >(const Eigen::Matrix< double, 3, 1 > &)>	f_one,
		std::function< SCALAR(const Eigen::Matrix< double, 3, 1 > &)>	f_two,
		double &	k,
		std::string	name
	)

inline

Constructor setting all the functions and the reference k.

Parameters

u_zero	analytical soltions corresponding to the load function f_zero
u_one	analytical soltions corresponding to the load function f_one
u_two	analytical soltions corresponding to the load function f_two
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
name	identifier of the example (cretes a folder with this name for the results)

Definition at line 62 of file hodge_laplacian_experiment.h.

Member Function Documentation

◆ Compute()

template<typename SCALAR >

void projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute	(	std::vector< unsigned >	refinement_levels,
		std::vector< double >	ks
	)

inline

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

Parameters

refinement_levels	integer list containig all the levels
ks	list of all ks to be used

Definition at line 92 of file hodge_laplacian_experiment.h.

Member Data Documentation

◆ f_one_

template<typename SCALAR >

std::function<Eigen::Matrix<SCALAR, 3, 1>( const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::f_one_

private

Definition at line 232 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().

◆ f_two_

template<typename SCALAR >

std::function<SCALAR(const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::f_two_

private

Definition at line 233 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().

◆ f_zero_

template<typename SCALAR >

std::function<SCALAR(const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::f_zero_

private

Definition at line 229 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().

◆ k_

template<typename SCALAR >

double& projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::k_

private

Definition at line 234 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().

◆ name_

template<typename SCALAR >

std::string projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::name_

private

Definition at line 235 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().

◆ u_one_

template<typename SCALAR >

std::function<Eigen::Matrix<SCALAR, 3, 1>( const Eigen::Matrix<double, 3, 1> &)> projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::u_one_

private

Definition at line 227 of file hodge_laplacian_experiment.h.

Referenced by projects::hldo_sphere::experiments::HodgeLaplacianExperiment< SCALAR >::Compute().