dg-two-grid Namespace Reference

Variables
	args = commonsteps.get_args()
str	executable = "peano4matrixfree"
	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
	system_matrix
	system_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

Variable Documentation

approximate_system_matrix_scaling

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

Definition at line 37 of file dg-two-grid.py.

args

dg-two-grid.args = commonsteps.get_args()

Definition at line 10 of file dg-two-grid.py.

assembly_matrix

dg-two-grid.assembly_matrix

Definition at line 30 of file dg-two-grid.py.

assembly_matrix_scaling

dg-two-grid.assembly_matrix_scaling

Definition at line 30 of file dg-two-grid.py.

auxiliary

dg-two-grid.auxiliary

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

cell_from_face_projection_scaling

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

Definition at line 35 of file dg-two-grid.py.

correction_equation_matrices

dg-two-grid.correction_equation_matrices

Initial value:

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

Definition at line 69 of file dg-two-grid.py.

correction_equation_solver

dg-two-grid.correction_equation_solver

Initial value:

=  mghype.matrixfree.solvers.api.CollocatedDLinearDiscretisationWithPointJacobi(
  name = "CollocatedPoisson",
  unknowns_per_vertex = 1, 
  dimensions = args.dimensions,
  min_h = args.meshsize,
  max_h = args.meshsize,
  local_assembly_matrix = system_matrix,
  local_assembly_matrix_scaling=system_matrix_scaling,
  mass_matrix = mass_matrix,
  mass_matrix_scaling = mass_matrix_scaling,
  solver_tolerance              = 1e-12,
  smoother_relaxation           = 0.5
)

Definition at line 80 of file dg-two-grid.py.

executable

str dg-two-grid.executable = "peano4matrixfree"

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

face_from_cell_projection_scaling

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

Definition at line 33 of file dg-two-grid.py.

injection_matrix

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

Definition at line 106 of file dg-two-grid.py.

injection_matrix_scaling

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

Definition at line 107 of file dg-two-grid.py.

intergrid_operators

dg-two-grid.intergrid_operators

Initial value:

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

Definition at line 97 of file dg-two-grid.py.

mass_matrix

dg-two-grid.mass_matrix

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

mass_matrix_scaling

dg-two-grid.mass_matrix_scaling

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

matrices

dg-two-grid.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 21 of file dg-two-grid.py.

preprocessing_action_set

dg-two-grid.preprocessing_action_set

Definition at line 109 of file dg-two-grid.py.

project

dg-two-grid.project

Initial value:

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

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

prolongation_matrix

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

Definition at line 102 of file dg-two-grid.py.

prolongation_matrix_scaling

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

Definition at line 103 of file dg-two-grid.py.

restriction_matrix

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

Definition at line 104 of file dg-two-grid.py.

restriction_matrix_scaling

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

Definition at line 105 of file dg-two-grid.py.

solver

dg-two-grid.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-14,
  integration_points = 0.5*(matrices.get_nodal_points_1d() + 1.0) # Should be specified in [0,1] interval
)

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

system_matrix

dg-two-grid.system_matrix

Definition at line 74 of file dg-two-grid.py.

system_matrix_scaling

dg-two-grid.system_matrix_scaling

Definition at line 74 of file dg-two-grid.py.