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Simple Poisson solver on the unit cube. More...

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

	dest

	type

	int

	default

	help

	action

	False

	choices

	required

	True

	args = parser.parse_args()

list	stencil

	project

	solver

	build_mode = peano4.output.CompileMode.Release

float	cube_size = 1.0

	dimensions

	offset = [0.0, 0.0]

	domain_size

	peano4_project = project.generate_Peano4_project(args.verbose)

	matrices

dict	modes

	float

	max_h = args.h / args.patch_size

float	min_h = 0.9 * args.h * 3.0**(-args.adaptivity_levels) / args.patch_size

float	time_step_size = 0.1 * min_h

int	auxiliary_variables = 0

	euler_solver = None

	poisson_solver = None
	Poisson solver.

	refinement_criterion

	postprocess_updated_patch

list	size = [1.0, 1.0]

	min_end_time

	max_end_time

	first_plot_time_stamp

	time_in_between_plots

	periodic_BC

	make_clean_first

	number_of_parallel_builds

	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()

	euler_project

	poisson_project

	plot_each_timestep

Detailed Description

Simple Poisson solver on the unit cube.

FOR NOW, WE FIX THE NUMBER OF DOFS TO BE THE SAME AS THE NUMBER OF GAUSSIAN POINTS.

Variable Documentation

◆ action

poisson.action

Definition at line 24 of file poisson.py.

◆ approximate_system_matrix_scaling

poisson.approximate_system_matrix_scaling = matrices.get_A_tilde()

Definition at line 89 of file poisson.py.

◆ args

poisson.args = parser.parse_args()

Definition at line 28 of file poisson.py.

◆ assembly_matrix

poisson.assembly_matrix

Definition at line 82 of file poisson.py.

◆ assembly_matrix_scaling

poisson.assembly_matrix_scaling

Definition at line 82 of file poisson.py.

◆ auxiliary_variables

int poisson.auxiliary_variables = 0

Definition at line 62 of file poisson.py.

◆ build_mode

poisson.build_mode = peano4.output.CompileMode.Release

Definition at line 56 of file poisson.py.

◆ cell_from_face_projection_scaling

poisson.cell_from_face_projection_scaling = matrices.get_cell_from_face_matrix()

Definition at line 87 of file poisson.py.

◆ choices

poisson.choices

Definition at line 27 of file poisson.py.

◆ cube_size

float poisson.cube_size = 1.0

Definition at line 62 of file poisson.py.

◆ default

poisson.default

Definition at line 22 of file poisson.py.

◆ dest

poisson.dest

Definition at line 22 of file poisson.py.

◆ dimensions

poisson.dimensions

Definition at line 64 of file poisson.py.

◆ domain_size

poisson.domain_size

Definition at line 66 of file poisson.py.

◆ euler_project

poisson.euler_project

Initial value:

=  exahype2.Project(
  namespace     = ["applications", "exahype2", "euler", "selfgravitation" ],
  project_name  = "Euler",
  directory     = ".",
  subdirectory = "euler",
  executable    = "selfgravitation-euler"
)

Definition at line 199 of file poisson.py.

◆ euler_solver

poisson.euler_solver = None

Definition at line 64 of file poisson.py.

◆ face_from_cell_projection_scaling

poisson.face_from_cell_projection_scaling = matrices.get_face_from_cell_matrix()

Definition at line 85 of file poisson.py.

◆ False

poisson.False

Definition at line 24 of file poisson.py.

◆ first_plot_time_stamp

poisson.first_plot_time_stamp

Definition at line 199 of file poisson.py.

◆ float

poisson.float

Definition at line 16 of file poisson.py.

◆ help

poisson.help

Definition at line 22 of file poisson.py.

◆ int

poisson.int

Definition at line 22 of file poisson.py.

◆ make_clean_first

poisson.make_clean_first

Definition at line 219 of file poisson.py.

◆ mass_matrix

poisson.mass_matrix

Definition at line 83 of file poisson.py.

◆ mass_matrix_scaling

poisson.mass_matrix_scaling

Definition at line 83 of file poisson.py.

◆ matrices

poisson.matrices

Initial value:

=  DgGenerator(args.dimensions,
                       args.degree,
                       args.unknowns_per_cell_dof)

Definition at line 36 of file poisson.py.

◆ max_end_time

poisson.max_end_time

Definition at line 198 of file poisson.py.

◆ max_h

poisson.max_h = args.h / args.patch_size

Definition at line 57 of file poisson.py.

◆ min_end_time

poisson.min_end_time

Definition at line 197 of file poisson.py.

◆ min_h

float poisson.min_h = 0.9 * args.h * 3.0**(-args.adaptivity_levels) / args.patch_size

Definition at line 58 of file poisson.py.

◆ modes

dict poisson.modes

Initial value:

=  {
  "release": peano4.output.CompileMode.Release,
  "trace":   peano4.output.CompileMode.Trace,
  "assert":  peano4.output.CompileMode.Asserts,
  "stats":   peano4.output.CompileMode.Stats,
  "debug":   peano4.output.CompileMode.Debug,
}

Definition at line 7 of file poisson.py.

◆ number_of_parallel_builds

poisson.number_of_parallel_builds

Definition at line 219 of file poisson.py.

◆ offset

list poisson.offset = [0.0, 0.0]

Definition at line 65 of file poisson.py.

◆ parser

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

Definition at line 21 of file poisson.py.

◆ peano4_project

poisson.peano4_project = project.generate_Peano4_project(args.verbose)

Definition at line 77 of file poisson.py.

◆ periodic_BC

poisson.periodic_BC

Definition at line 201 of file poisson.py.

◆ plot_each_timestep

poisson.plot_each_timestep

Definition at line 320 of file poisson.py.

◆ poisson_project

poisson.poisson_project

Initial value:

=  mghype.matrixfree.api.Project( 
  namespace = [ "applications", "exahype2", "euler", "selfgravitation" ],
  project_name = "Poisson", 
  directory     = ".",
  subdirectory  = "poisson",
  executable    = "selfgravitation-poisson"
  # abstract_overwrite = False,
)

Definition at line 216 of file poisson.py.

◆ poisson_solver

poisson.poisson_solver = None

Poisson solver.

Definition at line 65 of file poisson.py.

◆ postprocess_updated_patch

poisson.postprocess_updated_patch

Definition at line 132 of file poisson.py.

◆ project

poisson.project

Initial value:

=  petsc.Project(project_name = "Poisson", 
                        namespace = [ "benchmarks", "multigrid", "petsc", "poisson" ]
                        )

Definition at line 38 of file poisson.py.

◆ refinement_criterion

poisson.refinement_criterion

Definition at line 113 of file poisson.py.

◆ required

poisson.required

Definition at line 27 of file poisson.py.

◆ size

list poisson.size = [1.0, 1.0]

Definition at line 184 of file poisson.py.

◆ solver

poisson.solver

Initial value:

=  petsc.solvers.CollocatedLowOrderDiscretisation("Poisson", 
                                                        1,
                                                        args.meshsize,
                                                        args.meshsize,
                                                        stencil
                                                        )

Definition at line 43 of file poisson.py.

◆ stencil

list poisson.stencil

Initial value:

= [
  [-1/3, -1/3, -1/3],
  [-1/3,  8/3, -1/3],
  [-1/3, -1/3, -1/3]
]

Definition at line 32 of file poisson.py.

◆ time_in_between_plots

poisson.time_in_between_plots

Definition at line 200 of file poisson.py.

◆ time_step_size

float poisson.time_step_size = 0.1 * min_h

Definition at line 60 of file poisson.py.

◆ True

poisson.True

Definition at line 27 of file poisson.py.

◆ type

poisson.type

Definition at line 22 of file poisson.py.

Variables

Detailed Description

Variable Documentation

◆ action

◆ approximate_system_matrix_scaling

◆ args

◆ assembly_matrix

◆ assembly_matrix_scaling

◆ auxiliary_variables

◆ build_mode

◆ cell_from_face_projection_scaling

◆ choices

◆ cube_size

◆ default

◆ dest

◆ dimensions

◆ domain_size

◆ euler_project

◆ euler_solver

◆ face_from_cell_projection_scaling

◆ False

◆ first_plot_time_stamp

◆ float

◆ help

◆ int

◆ make_clean_first

◆ mass_matrix

◆ mass_matrix_scaling

◆ matrices

◆ max_end_time

◆ max_h

◆ min_end_time

◆ min_h

◆ modes

◆ number_of_parallel_builds

◆ offset

◆ parser

◆ peano4_project

◆ periodic_BC

◆ plot_each_timestep

◆ poisson_project

◆ poisson_solver

◆ postprocess_updated_patch

◆ project

◆ refinement_criterion

◆ required

◆ size

◆ solver

◆ stencil

◆ time_in_between_plots

◆ time_step_size

◆ True

◆ type