Class managing the differential problem. More...

#include <DTR.hpp>

Classes
class	DiffusionCoefficient

class	DirichletBC1

class	DirichletBC2

class	ExactSolution

class	ForcingTerm

class	NeumannBC1

class	NeumannBC2

class	ReactionCoefficient

class	TransportCoefficient

Public Member Functions
	DTR (const unsigned int &r_, std::ofstream &dimension_time_file)
	Constructor with a file stream for timing information.

	DTR (const unsigned int &r_)
	Constructor without a file stream for timing information.

void	setup (unsigned int n_initial_refinements=8)
	Initialization of the system.

void	assemble ()
	Assembly of the system matrix and right-hand side vector.

void	solve ()
	Solution of the linear system.

void	output () const
	Output of the solution to a file.

double	compute_error (const VectorTools::NormType &norm_type) const
	Compute the error of the solution.

	DTR (const unsigned int &r_, std::ofstream &dimension_time_file)

	DTR (const unsigned int &r_)

void	setup (unsigned int n_initial_refinements=8)

void	assemble ()

void	solve ()

void	output () const

double	compute_error (const VectorTools::NormType &norm_type) const

Static Public Attributes
static constexpr unsigned int	dim = 2
	Physical dimension (1D, 2D, 3D)

Protected Attributes
const std::string	mesh_file_name
	Path to the mesh file.

const unsigned int	r
	Polynomial degree.

const unsigned int	mpi_size
	Number of MPI processes.

const unsigned int	mpi_rank
	Rank of this MPI process.

problem_data::DiffusionCoefficient< dim >	diffusion_coefficient
	Diffusion coefficient.

problem_data::ReactionCoefficient< dim >	reaction_coefficient
	Reaction coefficient.

problem_data::TransportCoefficient< dim >	transport_coefficient
	Transport coefficient.

problem_data::ForcingTerm< dim >	forcing_term
	Forcing term.

problem_data::DirichletBC1< dim >	dirichletBC1
	Dirichlet boundary conditions for the left and bottom boundaries.

problem_data::DirichletBC2< dim >	dirichletBC2
	Dirichlet boundary conditions for the right and top boundaries.

problem_data::NeumannBC1< dim >	neumannBC1
	Neumann boundary conditions for the right and top boundaries.

problem_data::NeumannBC2< dim >	neumannBC2
	Neumann boundary conditions for the left and bottom boundaries.

parallel::fullydistributed::Triangulation< dim >	mesh
	Triangulation object for managing the mesh.

std::unique_ptr< FiniteElement< dim > >	fe
	Finite element space.

std::unique_ptr< Quadrature< dim > >	quadrature
	Quadrature formula for integration.

std::unique_ptr< Quadrature< dim - 1 > >	quadrature_boundary
	Quadrature formula for boundary integration.

DoFHandler< dim >	dof_handler
	DoF handler for managing degrees of freedom.

TrilinosWrappers::SparseMatrix	system_matrix
	System matrix.

TrilinosWrappers::MPI::Vector	system_rhs
	System right-hand side vector.

TrilinosWrappers::MPI::Vector	solution
	Solution vector.

ConditionalOStream	pcout
	Parallel output stream.

ConditionalOStream	time_details
	Output stream for timing details.

IndexSet	locally_owned_dofs
	Index set for locally owned degrees of freedom.

double	setup_time
	Time taken for setup.

DiffusionCoefficient	diffusion_coefficient

ReactionCoefficient	reaction_coefficient

TransportCoefficient	transport_coefficient

ForcingTerm	forcing_term

DirichletBC1	dirichletBC1

DirichletBC2	dirichletBC2

NeumannBC1	neumannBC1

NeumannBC2	neumannBC2

Detailed Description

Class managing the differential problem.

This class handles the setup, assembly, solution, and output of a differential problem using the deal.II library. It supports parallel computation using MPI.

Class managing the differential problem.

Constructor & Destructor Documentation

◆ DTR() [1/4]

DTR::DTR	(	const unsigned int &	r_,
		std::ofstream &	dimension_time_file )

Constructor with a file stream for timing information.

Parameters

r_	Polynomial degree of the finite element basis functions.
dimension_time_file	Output file stream for logging timing information.

◆ DTR() [2/4]

DTR::DTR ( const unsigned int & r_ )

Constructor without a file stream for timing information.

Parameters

r_	Polynomial degree of the finite element basis functions.

◆ DTR() [3/4]

DTR::DTR	(	const unsigned int &	r_,
		std::ofstream &	dimension_time_file )

inline

◆ DTR() [4/4]

DTR::DTR ( const unsigned int & r_ )

inline

Member Function Documentation

◆ assemble() [1/2]

void DTR::assemble ( )

Assembly of the system matrix and right-hand side vector.

◆ assemble() [2/2]

void DTR::assemble ( )

◆ compute_error() [1/2]

double DTR::compute_error ( const VectorTools::NormType & norm_type ) const

Compute the error of the solution.

This function computes the error of the numerical solution with respect to an exact solution.

Parameters

norm_type The type of norm to use for error computation.

Returns: The computed error.

◆ compute_error() [2/2]

double DTR::compute_error ( const VectorTools::NormType & norm_type ) const

◆ output() [1/2]

void DTR::output ( ) const

Output of the solution to a file.

This function writes the solution to a VTK file for visualization.

◆ output() [2/2]

void DTR::output ( ) const

◆ setup() [1/2]

void DTR::setup ( unsigned int n_initial_refinements = 8 )

Initialization of the system.

This function sets up the triangulation, DoF handler, and system matrices.

Parameters

n_initial_refinements Number of initial mesh refinements.

◆ setup() [2/2]

void DTR::setup ( unsigned int n_initial_refinements = 8 )

◆ solve() [1/2]

void DTR::solve ( )

Solution of the linear system.

◆ solve() [2/2]

void DTR::solve ( )

Member Data Documentation

◆ diffusion_coefficient [1/2]

problem_data::DiffusionCoefficient<dim> DTR::diffusion_coefficient

protected

Diffusion coefficient.

◆ diffusion_coefficient [2/2]

DiffusionCoefficient DTR::diffusion_coefficient

protected

◆ dim

static constexpr unsigned int DTR::dim = 2

staticconstexpr

Physical dimension (1D, 2D, 3D)

◆ dirichletBC1 [1/2]

problem_data::DirichletBC1<dim> DTR::dirichletBC1

protected

Dirichlet boundary conditions for the left and bottom boundaries.

◆ dirichletBC1 [2/2]

DirichletBC1 DTR::dirichletBC1

protected

◆ dirichletBC2 [1/2]

problem_data::DirichletBC2<dim> DTR::dirichletBC2

protected

Dirichlet boundary conditions for the right and top boundaries.

◆ dirichletBC2 [2/2]

DirichletBC2 DTR::dirichletBC2

protected

◆ dof_handler

DoFHandler< dim > DTR::dof_handler

protected

DoF handler for managing degrees of freedom.

◆ fe

std::unique_ptr< FiniteElement< dim > > DTR::fe

protected

Finite element space.

◆ forcing_term [1/2]

problem_data::ForcingTerm<dim> DTR::forcing_term

protected

Forcing term.

◆ forcing_term [2/2]

ForcingTerm DTR::forcing_term

protected

◆ locally_owned_dofs

IndexSet DTR::locally_owned_dofs

protected

Index set for locally owned degrees of freedom.

◆ mesh

parallel::fullydistributed::Triangulation< dim > DTR::mesh

protected

Triangulation object for managing the mesh.

◆ mesh_file_name

const std::string DTR::mesh_file_name

protected

Path to the mesh file.

◆ mpi_rank

const unsigned int DTR::mpi_rank

protected

Rank of this MPI process.

◆ mpi_size

const unsigned int DTR::mpi_size

protected

Number of MPI processes.

◆ neumannBC1 [1/2]

problem_data::NeumannBC1<dim> DTR::neumannBC1

protected

Neumann boundary conditions for the right and top boundaries.

◆ neumannBC1 [2/2]

NeumannBC1 DTR::neumannBC1

protected

◆ neumannBC2 [1/2]

problem_data::NeumannBC2<dim> DTR::neumannBC2

protected

Neumann boundary conditions for the left and bottom boundaries.

◆ neumannBC2 [2/2]

NeumannBC2 DTR::neumannBC2

protected

◆ pcout

ConditionalOStream DTR::pcout

protected

Parallel output stream.

◆ quadrature

std::unique_ptr< Quadrature< dim > > DTR::quadrature

protected

Quadrature formula for integration.

◆ quadrature_boundary

std::unique_ptr< Quadrature< dim - 1 > > DTR::quadrature_boundary

protected

Quadrature formula for boundary integration.

◆ r

const unsigned int DTR::r

protected

Polynomial degree.

◆ reaction_coefficient [1/2]

problem_data::ReactionCoefficient<dim> DTR::reaction_coefficient

protected

Reaction coefficient.

◆ reaction_coefficient [2/2]

ReactionCoefficient DTR::reaction_coefficient

protected

◆ setup_time

double DTR::setup_time

protected

Time taken for setup.

◆ solution

TrilinosWrappers::MPI::Vector DTR::solution

protected

Solution vector.

◆ system_matrix

TrilinosWrappers::SparseMatrix DTR::system_matrix

protected

System matrix.

◆ system_rhs

TrilinosWrappers::MPI::Vector DTR::system_rhs

protected

System right-hand side vector.

◆ time_details

ConditionalOStream DTR::time_details

protected

Output stream for timing details.

◆ transport_coefficient [1/2]

problem_data::TransportCoefficient<dim> DTR::transport_coefficient

protected

Transport coefficient.

◆ transport_coefficient [2/2]

TransportCoefficient DTR::transport_coefficient

protected

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

/home/luca/Development/NAPDE/matrix-free-solver/include/DTR.hpp
/home/luca/Development/NAPDE/tmp/matrix-free-solver/include/DTR.hpp
/home/luca/Development/NAPDE/matrix-free-solver/src/DTR.cpp
/home/luca/Development/NAPDE/tmp/matrix-free-solver/src/DTR.cpp

Classes

Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ DTR() [1/4]

◆ DTR() [2/4]

◆ DTR() [3/4]

◆ DTR() [4/4]

Member Function Documentation

◆ assemble() [1/2]

◆ assemble() [2/2]

◆ compute_error() [1/2]

◆ compute_error() [2/2]

◆ output() [1/2]

◆ output() [2/2]

◆ setup() [1/2]

◆ setup() [2/2]

◆ solve() [1/2]

◆ solve() [2/2]

Member Data Documentation

◆ diffusion_coefficient [1/2]

◆ diffusion_coefficient [2/2]

◆ dim

◆ dirichletBC1 [1/2]

◆ dirichletBC1 [2/2]

◆ dirichletBC2 [1/2]

◆ dirichletBC2 [2/2]

◆ dof_handler

◆ fe

◆ forcing_term [1/2]

◆ forcing_term [2/2]

◆ locally_owned_dofs

◆ mesh

◆ mesh_file_name

◆ mpi_rank

◆ mpi_size

◆ neumannBC1 [1/2]

◆ neumannBC1 [2/2]

◆ neumannBC2 [1/2]

◆ neumannBC2 [2/2]

◆ pcout

◆ quadrature

◆ quadrature_boundary

◆ r

◆ reaction_coefficient [1/2]

◆ reaction_coefficient [2/2]

◆ setup_time

◆ solution

◆ system_matrix

◆ system_rhs

◆ time_details

◆ transport_coefficient [1/2]

◆ transport_coefficient [2/2]