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Logbook
(07-04-2025)
Static problems
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Logbook
(07-04-2025)
Static problems
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Implements the solver of the Asymptotic boundary condition (abc/) numerical experiment. More...
#include <solver.hpp>
Public Member Functions | |
| SolverABC (unsigned int m, unsigned int p, unsigned int mapping_degree, unsigned int r, std::string fname) | |
 Public Member Functions inherited from StaticScalarSolver::Solver< dim, stage > | |
| Solver (unsigned int p, unsigned int mapping_degree, unsigned int type_of_pde_rhs, std::string fname="data", const Function< dim > *exact_solution=nullptr, bool axisymmetric=false, bool vector_potential=false, bool print_time_tables=false, bool project_exact_solution=false, bool write_higher_order_cells=false) | |
| The only constructor. More... | |
| void | setup () |
| Initializes system matrix and the right-hand side vector, etc. More... | |
| void | assemble () |
| Assembles the system matrix and the right-hand side vector. | |
| void | compute_error_norms () |
| Computes error norms. | |
| void | project_exact_solution_fcn () |
| Projects exact solution. More... | |
| void | save () const |
| Saves simulation results into a vtk or vtu file. More... | |
| void | save_matrix_and_rhs_to_csv (std::string fname) const |
| Saves the system matrix and the right-hand side into a csv file. More... | |
| void | clear () |
| Releases computer memory associated with the system matrix and right-hand side. | |
| const Triangulation< dim > & | get_tria () const |
| Returns a reference to triangulation. | |
| const DoFHandler< dim > & | get_dof_handler () const |
| Returns a reference to dof handler. | |
| const Vector< double > & | get_solution () const |
| Returns a reference to the solution. | |
| unsigned int | get_n_cells () const |
| Returns the number of active cells in the mesh. | |
| unsigned int | get_n_vertices () const |
| Returns the number of vertices. | |
| unsigned int | get_n_used_vertices () const |
| Returns the number of used vertices. | |
| unsigned int | get_n_lines () const |
| Returns the number of lines. | |
| unsigned int | get_n_dofs () const |
| Returns the total amount of the degrees of freedom. | |
| unsigned int | get_type_of_pde_rhs () const |
Returns the value of type_of_pde_rhs. | |
| double | get_L2_norm () const |
| Returns \(L^2\) error norm. | |
| double | get_H1_norm () const |
| Returns \(H^1\) error norm. | |
| double | get_Linfty_norm () const |
| Returns \(L^{\infty}\) error norm. | |
| unsigned int | get_mapping_degree () const |
| Returns degree of the interpolating Lagrange polynomials used for mapping from the reference cell to the real mesh cell and back. | |
| void | run () |
| Runs the simulation. More... | |
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, \(\epsilon_0\). | |
| Protected Attributes inherited from StaticScalarSolver::Solver< dim, stage > | |
| std::map< types::boundary_id, const Function< dim > * > | dirichlet_stack |
| A map that contains pairs of boundary IDs and the corresponding Dirichlet boundary conditions. More... | |
| Triangulation< dim > | triangulation |
| The mesh. | |
| const FE_Q< dim > | fe |
| The finite elements. | |
| DoFHandler< dim > | dof_handler |
| The degrees-of-freedom handler. | |
| Vector< double > | solution |
| The solution vector, i.e., degrees of freedom yielded by the simulation. | |
| Vector< double > | projected_exact_solution |
| The projected exact solution vector. | |
| AffineConstraints< double > | constraints |
| The constraints associated with the Dirichlet boundary conditions. | |
| SparsityPattern | sparsity_pattern |
| The sparsity pattern of the system matrix. | |
| SparseMatrix< double > | system_matrix |
| The system matrix. | |
| Vector< double > | system_rhs |
| The system right-hand side vector. | |
| double | L2_norm |
| The \(L^2\) error norm. | |
| double | Linfty_norm |
| The \(L^{\infty}\) error norm. | |
| double | H1_norm |
| The \(H^1\) error semi-norm. | |
Implements the solver of the Asymptotic boundary condition (abc/) numerical experiment.
Definition at line 38 of file solver.hpp.
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inline |
The constructor.
| [in] | m | - The factor, \(m\), that scales the radius of the surface that represents the infinity. |
| [in] | p | - The degree of the interpolating polynomials of the Lagrange finite elements, FE_Q. |
| [in] | mapping_degree | - The degree of the interpolating polynomials used for mapping. |
| [in] | r | - The parameter that encodes the degree of mesh refinement. Must coincide with one of the values set in abc/gmsh/build. This parameter is used to compose the name of the mesh file to be uploaded from abc/gmsh/data/. |
| [in] | fname | - The name of the vtu file without extension to save the data. |
Definition at line 62 of file solver.hpp.
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