ExactSolutionSCHAXI_PHI< is_cylinder > Class Template Reference

Describes exact solution, \(\Phi\), of the Axisymmetric - surface charge (sch-axi/) numerical experiment. More...

#include <exact_solution.hpp>

Inheritance diagram for ExactSolutionSCHAXI_PHI< is_cylinder >:

Collaboration diagram for ExactSolutionSCHAXI_PHI< is_cylinder >:

Public Member Functions
virtual double	value (const Point< 2 > &p, const unsigned int component=0) const override final
virtual Tensor< 1, 2 >	gradient (const Point< 2 > &p, const unsigned int component=0) const override final
double	value (const Point< 2 > &p, const unsigned int component) const
Tensor< 1, 2 >	gradient (const Point< 2 > &p, const unsigned int component) const
double	value (const Point< 2 > &p, const unsigned int component) const
Tensor< 1, 2 >	gradient (const Point< 2 > &p, const unsigned int component) const

Additional Inherited Members
Public Attributes inherited from SettingsSCHAXI
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	d = 0.2
	The width of the rectangle around the origin in the second mesh (half-circle).
const double	rd = sqrt(2) * d
	The radius of the circle that encloses the rectangle in the middle of the mesh.
double	a = 0.5
	The radius of the tube in the two- dimensional version of the problem or the radius of the sphere in the three- dimensional problem. More...
double	b = 1.0
	The radius of the outer boundary of the problem domain.
const double	kappa_f = ep_0 * b / (a * (b - a))
	The surface free-charge density.
const types::boundary_id	bid = 1
	The ID of the boundary of the problem domain.
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<bool is_cylinder>
class ExactSolutionSCHAXI_PHI< is_cylinder >

Describes exact solution, \(\Phi\), of the Axisymmetric - surface charge (sch-axi/) numerical experiment.

Definition at line 27 of file exact_solution.hpp.

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

• static/sch-axi/include/exact_solution.hpp