Describes exact solution, \(\Phi\), of the Asymptotic boundary condition (abc/) numerical experiment. More...

#include <exact_solution.hpp>

Inheritance diagram for ExactSolutionABC_PHI< dim >:

Collaboration diagram for ExactSolutionABC_PHI< dim >:

Public Member Functions
virtual double	value (const Point< dim > &r, const unsigned int component=0) const override final

virtual Tensor< 1, dim >	gradient (const Point< dim > &r, const unsigned int component=0) const override final

double	value (const Point< 2 > &r, unsigned int component) const

Tensor< 1, 2 >	gradient (const Point< 2 > &r, unsigned int component) const

double	value (const Point< 3 > &r, unsigned int componet) const

Tensor< 1, 3 >	gradient (const Point< 3 > &r, unsigned int component) const

Additional Inherited Members
Public Attributes inherited from SettingsABC
const unsigned int	nr_threads_max = 0
	If greater than zero, limits the amount of threads used in the simulations.

const double	ep_0 = permittivity_fs
	The permittivity of free space.

const double	a = 0.1
	The radius of the sphere. Used only in the three- dimensional version of the experiment.

const double	x0 = 0.1
	The offset of the conductors from the origin. Used only in the two- dimensional version of the experiment.

const double	R = 0.05
	The radius of each conductor. Used in the two- dimensional version of the program.

const double	R_mid = 1.5 * (R + x0)
	The outer radius of the fixed region in the three- dimensional version of the problem.

const types::boundary_id	bid_left = 3
	The ID of the circular boundary that represents the left conductor in the two- dimensional version of the experiment.

const types::boundary_id	bid_right = 1
	The ID of the circular boundary that represents the right conductor in the two- dimensional version of the experiment.

const types::boundary_id	bid_in = 1
	The ID of the inner boundary of the problem domain in the three- dimensional version of the experiment.

const types::manifold_id	mfid_left = 3
	The ID of the spherical manifold attached to the left boundary (2D only).

const types::manifold_id	mfid_right = 1
	The ID of the spherical manifold attached to the right boundary (2D only).

const types::manifold_id	mfid_infty = 2
	The ID of the spherical manifold attached to the boundary that represents the infinity (both, 2D and 3D).

const types::boundary_id	bid_infty = 0
	The ID of the boundary that represents the infinity. Used in both, two- and three- dimensional versions of the experiment.

const double	eps = 1e-12
	Two values in double format are considered to be equal if the absolute value of their difference is less than eps.

const bool	print_time_tables = false
	If set to true, the program will print time tables on the screen.

const bool	project_exact_solution = false
	If set to true, the program will project the exact solution. More...

const bool	log_cg_convergence = false
	If set to true, saves the residual at each iteration of the CG solver. The names of the files fit the following wildcard *_cg_convergence.csv. More...

Public Attributes inherited from Constants::Physics
const double	pi
	The ratio between the circumference and the diameter of any circle, \(\pi\). More...

const double	c = 299792458.0
	The speed of light in free space, \(c\).

const double	permeability_fs = 4.0 * pi * 1.0e-7
	The permeability of the free space, \(\mu_0\).

const double	permittivity_fs = 1.0 / (std::pow(c, 2) * permeability_fs)
	The permittivity of the free space, \(\epsilon_0\).

Detailed Description

template<int dim>
class ExactSolutionABC_PHI< dim >

Describes exact solution, \(\Phi\), of the Asymptotic boundary condition (abc/) numerical experiment.

Definition at line 31 of file exact_solution.hpp.

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

static/abc/include/exact_solution.hpp

Public Member Functions

Additional Inherited Members

Detailed Description

template<int dim> class ExactSolutionABC_PHI< dim >

template<int dim>
class ExactSolutionABC_PHI< dim >