Logbook  (07-04-2025)
Static problems
ExactSolutionINTAXI_PHI< is_cylinder > Class Template Reference

Describes exact solution, \(\Phi\), of the Axisymmetric - interface between dielectrics (int-axi/) numerical experiment in two and three dimensions. More...

#include <exact_solution.hpp>

Inheritance diagram for ExactSolutionINTAXI_PHI< is_cylinder >:
Collaboration diagram for ExactSolutionINTAXI_PHI< is_cylinder >:

Public Member Functions

virtual double value (const Point< 2 > &r, const unsigned int component=0) const override final
 
virtual Tensor< 1, 2 > gradient (const Point< 2 > &r, 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 SettingsINTAXI
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.
 
double a = 0.3
 The radius of the inner boundary of the problem domain.
 
double b = 1.0
 The radius of the outer boundary of the problem domain.
 
double d = 0.65
 The radius of the interface between dissimilar materials.
 
const types::boundary_id bid_in = 1
 The ID of the inner boundary of the problem domain.
 
const types::boundary_id bid_out = 3
 The ID of the outer boundary of the problem domain.
 
const types::material_id mid_1 = 1
 The material ID of the inner dielectric tube (shell).
 
const types::material_id mid_2 = 2
 The material ID of the outer dielectric tube (shell).
 
double ep_1 = 32.0 * ep_0
 Permittivity of the inner dielectric tube (shell).
 
double ep_2 = 4.0 * ep_0
 Permittivity of the outer dielectric tube (shell).
 
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 ExactSolutionINTAXI_PHI< is_cylinder >

Describes exact solution, \(\Phi\), of the Axisymmetric - interface between dielectrics (int-axi/) numerical experiment in two and three dimensions.

Definition at line 34 of file exact_solution.hpp.


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