Variables
	parser = argparse.ArgumentParser(description='Multigrid - Poisson solver')

	dest

	type

	int

	default

	help

	action

	False

	choices

	required

	True

	args = parser.parse_args()

	project

	matrices

	assembly_matrix

	assembly_matrix_scaling

	mass_matrix

	mass_matrix_scaling

	face_from_cell_projection_scaling = matrices.get_face_from_cell_matrix()

	cell_from_face_projection_scaling = matrices.get_cell_from_face_matrix()

	approximate_system_matrix_scaling = matrices.get_A_tilde()

	solver

	correction_equation_matrices

	intergridOperators = mghype.api.matrixgenerators.blockmatrix.IntergridOperatorsH()

	system_matrix

	system_matrix_scaling

	correction_matrix

	correction_matrix_scaling

	correction_equation_solver

	intergrid_operators

list	prolongation_matrix = [intergrid_operators.prolongation()]

list	prolongation_matrix_scaling = [0]

list	restriction_matrix = [intergrid_operators.restriction()]

list	restriction_matrix_scaling = [0]

list	injection_matrix = [intergrid_operators.injection()]

list	injection_matrix_scaling = [0]

	preprocessing_action_set

	auxiliary

	build_mode = peano4.api.output.CompileMode.RELEASE

float	cube_size = 1.0

	dimensions

	offset

	domain_size

	plot_after_each_mesh_sweep

	max_iterations

	peano4_project = project.generate_Peano4_project(args.verbose)

Variable Documentation

◆ action

dg-two-grid-h-coarsen.action

Definition at line 15 of file dg-two-grid-h-coarsen.py.

◆ approximate_system_matrix_scaling

dg-two-grid-h-coarsen.approximate_system_matrix_scaling = matrices.get_A_tilde()

Definition at line 46 of file dg-two-grid-h-coarsen.py.

◆ args

dg-two-grid-h-coarsen.args = parser.parse_args()

Definition at line 25 of file dg-two-grid-h-coarsen.py.

◆ assembly_matrix

dg-two-grid-h-coarsen.assembly_matrix

Definition at line 39 of file dg-two-grid-h-coarsen.py.

◆ assembly_matrix_scaling

dg-two-grid-h-coarsen.assembly_matrix_scaling

Definition at line 39 of file dg-two-grid-h-coarsen.py.

◆ auxiliary

dg-two-grid-h-coarsen.auxiliary

Definition at line 142 of file dg-two-grid-h-coarsen.py.

◆ build_mode

dg-two-grid-h-coarsen.build_mode = peano4.api.output.CompileMode.RELEASE

Definition at line 150 of file dg-two-grid-h-coarsen.py.

◆ cell_from_face_projection_scaling

dg-two-grid-h-coarsen.cell_from_face_projection_scaling = matrices.get_cell_from_face_matrix()

Definition at line 44 of file dg-two-grid-h-coarsen.py.

◆ choices

dg-two-grid-h-coarsen.choices

Definition at line 24 of file dg-two-grid-h-coarsen.py.

◆ correction_equation_matrices

dg-two-grid-h-coarsen.correction_equation_matrices

Initial value:

=  mghype.api.matrixgenerators.DLinearMassIdentity(
  dimensions = args.dimensions,
  poly_degree = 1,
  unknowns_per_node = 1
)

Definition at line 78 of file dg-two-grid-h-coarsen.py.

◆ correction_equation_solver

dg-two-grid-h-coarsen.correction_equation_solver

Initial value:

=  mghype.matrixfree.solvers.api.CollocatedMGSingleThreaded("CollocatedMG",
                                                    1,
                                                    args.dimensions,
                                                    args.meshsize,
                                                    args.meshsize,
                                                    local_assembly_matrix = system_matrix,
                                                    local_assembly_matrix_scaling=system_matrix_scaling,
                                                    mass_matrix = mass_matrix,
                                                    mass_matrix_scaling = mass_matrix_scaling,
                                                    correction_matrix = correction_matrix,
                                                    correction_matrix_scaling = correction_matrix_scaling,
                                                    solver_tolerance=1e-12,
                                                    pre_smoothing_steps =6,
                                                    post_smoothing_steps=5,
                                                    restriction_matrix=intergridOperators.restriction(),
                                                    prolongation_matrix=intergridOperators.prolongation(),
                                                    descend_order=0,
                                                    )

Definition at line 95 of file dg-two-grid-h-coarsen.py.

◆ correction_matrix

dg-two-grid-h-coarsen.correction_matrix

Definition at line 89 of file dg-two-grid-h-coarsen.py.

◆ correction_matrix_scaling

dg-two-grid-h-coarsen.correction_matrix_scaling

Definition at line 89 of file dg-two-grid-h-coarsen.py.

◆ cube_size

float dg-two-grid-h-coarsen.cube_size = 1.0

Definition at line 159 of file dg-two-grid-h-coarsen.py.

◆ default

dg-two-grid-h-coarsen.default

Definition at line 14 of file dg-two-grid-h-coarsen.py.

◆ dest

dg-two-grid-h-coarsen.dest

Definition at line 14 of file dg-two-grid-h-coarsen.py.

◆ dimensions

dg-two-grid-h-coarsen.dimensions

Definition at line 161 of file dg-two-grid-h-coarsen.py.

◆ domain_size

dg-two-grid-h-coarsen.domain_size

Definition at line 163 of file dg-two-grid-h-coarsen.py.

◆ face_from_cell_projection_scaling

dg-two-grid-h-coarsen.face_from_cell_projection_scaling = matrices.get_face_from_cell_matrix()

Definition at line 42 of file dg-two-grid-h-coarsen.py.

◆ False

dg-two-grid-h-coarsen.False

Definition at line 15 of file dg-two-grid-h-coarsen.py.

◆ help

dg-two-grid-h-coarsen.help

Definition at line 14 of file dg-two-grid-h-coarsen.py.

◆ injection_matrix

list dg-two-grid-h-coarsen.injection_matrix = [intergrid_operators.injection()]

Definition at line 124 of file dg-two-grid-h-coarsen.py.

◆ injection_matrix_scaling

list dg-two-grid-h-coarsen.injection_matrix_scaling = [0]

Definition at line 125 of file dg-two-grid-h-coarsen.py.

◆ int

dg-two-grid-h-coarsen.int

Definition at line 14 of file dg-two-grid-h-coarsen.py.

◆ intergrid_operators

dg-two-grid-h-coarsen.intergrid_operators

Initial value:

=  mghype.api.matrixgenerators.blockmatrix.IntergridOperators(
  dim = args.dimensions,
  coarse_order = 1,
  fine_order = args.poly_degree
  )

Definition at line 115 of file dg-two-grid-h-coarsen.py.

◆ intergridOperators

dg-two-grid-h-coarsen.intergridOperators = mghype.api.matrixgenerators.blockmatrix.IntergridOperatorsH()

Definition at line 84 of file dg-two-grid-h-coarsen.py.

◆ mass_matrix

dg-two-grid-h-coarsen.mass_matrix

Definition at line 40 of file dg-two-grid-h-coarsen.py.

◆ mass_matrix_scaling

dg-two-grid-h-coarsen.mass_matrix_scaling

Definition at line 40 of file dg-two-grid-h-coarsen.py.

◆ matrices

dg-two-grid-h-coarsen.matrices

Initial value:

=  mghype.api.matrixgenerators.GaussLobattoMatrixFree(
  args.dimensions,
  args.poly_degree,
  1,  # Unknowns per cell dof. Scalar PDE here
  2,  # We use the penalty formulation (see docu in tutorials)
  2
)

Definition at line 31 of file dg-two-grid-h-coarsen.py.

◆ max_iterations

dg-two-grid-h-coarsen.max_iterations

Definition at line 165 of file dg-two-grid-h-coarsen.py.

◆ offset

dg-two-grid-h-coarsen.offset

Definition at line 162 of file dg-two-grid-h-coarsen.py.

◆ parser

dg-two-grid-h-coarsen.parser = argparse.ArgumentParser(description='Multigrid - Poisson solver')

Definition at line 13 of file dg-two-grid-h-coarsen.py.

◆ peano4_project

dg-two-grid-h-coarsen.peano4_project = project.generate_Peano4_project(args.verbose)

Definition at line 170 of file dg-two-grid-h-coarsen.py.

◆ plot_after_each_mesh_sweep

dg-two-grid-h-coarsen.plot_after_each_mesh_sweep

Definition at line 164 of file dg-two-grid-h-coarsen.py.

◆ preprocessing_action_set

dg-two-grid-h-coarsen.preprocessing_action_set

Definition at line 127 of file dg-two-grid-h-coarsen.py.

◆ project

dg-two-grid-h-coarsen.project

Initial value:

=  mghype.matrixfree.api.Project( project_name = "DGTwoGrid", 
                              namespace = [ "tests", "multigrid", "matrixfree", "poisson" ]
                            )

Definition at line 27 of file dg-two-grid-h-coarsen.py.

◆ prolongation_matrix

list dg-two-grid-h-coarsen.prolongation_matrix = [intergrid_operators.prolongation()]

Definition at line 120 of file dg-two-grid-h-coarsen.py.

◆ prolongation_matrix_scaling

list dg-two-grid-h-coarsen.prolongation_matrix_scaling = [0]

Definition at line 121 of file dg-two-grid-h-coarsen.py.

◆ required

dg-two-grid-h-coarsen.required

Definition at line 24 of file dg-two-grid-h-coarsen.py.

◆ restriction_matrix

list dg-two-grid-h-coarsen.restriction_matrix = [intergrid_operators.restriction()]

Definition at line 122 of file dg-two-grid-h-coarsen.py.

◆ restriction_matrix_scaling

list dg-two-grid-h-coarsen.restriction_matrix_scaling = [0]

Definition at line 123 of file dg-two-grid-h-coarsen.py.

◆ solver

dg-two-grid-h-coarsen.solver

Initial value:

=  mghype.matrixfree.solvers.api.DiscontinuousGalerkinDiscretisationPointWiseRiemannSolver(
  name = "DGPoisson",
  dimensions = args.dimensions,
  poly_degree = args.poly_degree,
  unknowns_per_cell_node = 1,
  solutions_per_face_node = 2,
  projections_per_face_node = 2,
  min_h = args.meshsize,
  max_h = args.meshsize,
  assembly_matrix= assembly_matrix, 
  assembly_matrix_scaling = assembly_matrix_scaling, 
  mass_matrix = mass_matrix, 
  mass_matrix_scaling = mass_matrix_scaling, 
  face_from_cell_projection = face_from_cell_projection, 
  face_from_cell_projection_scaling = face_from_cell_projection_scaling,
  cell_from_face_projection = cell_from_face_projection, 
  cell_from_face_projection_scaling = cell_from_face_projection_scaling,
  riemann_matrix = matrices.get_face_face_riemann_problem_matrix(),
  boundary_matrix = matrices.get_boundary_matrix(),
  cell_relaxation = args.omega_c,
  face_relaxation = args.omega_f,  # default here is 1, i.e. we solve exactly. See class docu
  approximate_system_matrix = approximate_system_matrix,
  approximate_system_matrix_scaling = approximate_system_matrix_scaling,
  solver_tolerance = 1.0e-6,
  integration_points = 0.5*(matrices.get_nodal_points_1d() + 1.0) # Should be specified in [0,1] interval
)

Definition at line 49 of file dg-two-grid-h-coarsen.py.

◆ system_matrix

dg-two-grid-h-coarsen.system_matrix

Definition at line 86 of file dg-two-grid-h-coarsen.py.

◆ system_matrix_scaling

dg-two-grid-h-coarsen.system_matrix_scaling

Definition at line 86 of file dg-two-grid-h-coarsen.py.

◆ True

dg-two-grid-h-coarsen.True

Definition at line 24 of file dg-two-grid-h-coarsen.py.

◆ type

dg-two-grid-h-coarsen.type

Definition at line 14 of file dg-two-grid-h-coarsen.py.

Variables

Variable Documentation

◆ action

◆ approximate_system_matrix_scaling

◆ args

◆ assembly_matrix

◆ assembly_matrix_scaling

◆ auxiliary

◆ build_mode

◆ cell_from_face_projection_scaling

◆ choices

◆ correction_equation_matrices

◆ correction_equation_solver

◆ correction_matrix

◆ correction_matrix_scaling

◆ cube_size

◆ default

◆ dest

◆ dimensions

◆ domain_size

◆ face_from_cell_projection_scaling

◆ False

◆ help

◆ injection_matrix

◆ injection_matrix_scaling

◆ int

◆ intergrid_operators

◆ intergridOperators

◆ mass_matrix

◆ mass_matrix_scaling

◆ matrices

◆ max_iterations

◆ offset

◆ parser

◆ peano4_project

◆ plot_after_each_mesh_sweep

◆ preprocessing_action_set

◆ project

◆ prolongation_matrix

◆ prolongation_matrix_scaling

◆ required

◆ restriction_matrix

◆ restriction_matrix_scaling

◆ solver

◆ system_matrix

◆ system_matrix_scaling

◆ True

◆ type