SolverMMS< dim > Class Template Reference

Implements the solver of the Method of manufactured solutions (mms/) numerical experiment. More...

#include <solver.hpp>

Inheritance diagram for SolverMMS< dim >:

Collaboration diagram for SolverMMS< dim >:

Public Member Functions
	SolverMMS (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 SettingsMMS
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	k = pi
	The scaling parameter.
const types::boundary_id	bid_dirichlet = 1
	The Dirichlet boundary condition will be applied to the boundaries with ID = 1. The boundary IDs are set in the geo files that are located in the mms/gmsh directory.
const types::boundary_id	bid_robin = 2
	The Robin boundary condition will be applied to the boundaries with even boundary IDs. This constant is not used in the code. The code applies the Robin boundary condition on all boundaries with even IDs. The boundary IDs are set in the geo files that are located in the mms/gmsh directory.
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.

Detailed Description

template<int dim>
class SolverMMS< dim >

Implements the solver of the Method of manufactured solutions (mms/) numerical experiment.

Definition at line 30 of file solver.hpp.

Constructor & Destructor Documentation

SolverMMS()

template<int dim>

SolverMMS< dim >::SolverMMS ( unsigned int  p, unsigned int  mapping_degree, unsigned int  r, std::string  fname  )

inline

The constructor.

Parameters

[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 mms/gmsh/build. This parameter is used to compose the name of the mesh file to be uploaded from mms/gmsh/data/.
[in]	fname	- The name of the vtk file without extension to save the data.

Definition at line 52 of file solver.hpp.

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

• static/mms/include/solver.hpp