pymor.discretizers.skfem.cg

Module Contents

Classes

SKFemBilinearFormOperator	Base class for operators which assemble into a NumpyMatrixOperator.
SKFemLinearFormOperator	Base class for operators which assemble into a NumpyMatrixOperator.
DiffusionOperator	Base class for operators which assemble into a NumpyMatrixOperator.
L2ProductOperator	Base class for operators which assemble into a NumpyMatrixOperator.
AdvectionOperator	Base class for operators which assemble into a NumpyMatrixOperator.
L2Functional	Base class for operators which assemble into a NumpyMatrixOperator.
BoundaryDirichletFunctional	Base class for operators which assemble into a NumpyMatrixOperator.
SKFemVisualizer	Base class for immutable objects in pyMOR.

Functions

discretize_stationary_cg

Discretizes a StationaryProblem with finite elements using scikit-fem.

class pymor.discretizers.skfem.cg.SKFemBilinearFormOperator(basis, dirichlet_dofs=None, dirichlet_clear_diag=False, name=None)

Bases: pymor.operators.numpy.NumpyMatrixBasedOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

build_form(mu)

_assemble(self, mu)

class pymor.discretizers.skfem.cg.SKFemLinearFormOperator(basis, dirichlet_dofs=None, name=None)

Bases: pymor.operators.numpy.NumpyMatrixBasedOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

source

_assemble(self, mu)

class pymor.discretizers.skfem.cg.DiffusionOperator(basis, diffusion_function, dirichlet_dofs=None, dirichlet_clear_diag=False, name=None)

Bases: SKFemBilinearFormOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

build_form(self, mu)

class pymor.discretizers.skfem.cg.L2ProductOperator(basis, dirichlet_dofs=None, dirichlet_clear_diag=False, coefficient_function=None, name=None)

Bases: SKFemBilinearFormOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

build_form(self, mu)

class pymor.discretizers.skfem.cg.AdvectionOperator(basis, advection_function, dirichlet_dofs=None, dirichlet_clear_diag=False, name=None)

Bases: SKFemBilinearFormOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

build_form(self, mu)

class pymor.discretizers.skfem.cg.L2Functional(basis, function, dirichlet_dofs=None, dirichlet_data=None, name=None)

Bases: SKFemLinearFormOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

build_form(self, mu)

class pymor.discretizers.skfem.cg.BoundaryDirichletFunctional(basis, dirichlet_data, dirichlet_dofs=None, name=None)

Bases: pymor.operators.numpy.NumpyMatrixBasedOperator

Base class for operators which assemble into a NumpyMatrixOperator.

sparse

True if the operator assembles into a sparse matrix, False if the operator assembles into a dense matrix, None if unknown.

source

_assemble(self, mu=None)

class pymor.discretizers.skfem.cg.SKFemVisualizer(space, basis)

Bases: pymor.core.base.ImmutableObject

Base class for immutable objects in pyMOR.

Instances of ImmutableObject are immutable in the sense that after execution of __init__, any modification of a non-private attribute will raise an exception.

Warning

For instances of ImmutableObject, the result of member function calls should be completely determined by the function’s arguments together with the object’s __init__ arguments and the current state of pyMOR’s global defaults.

While, in principle, you are allowed to modify private members after instance initialization, this should never affect the outcome of future method calls. In particular, if you update any internal state after initialization, you have to ensure that this state is not affected by possible changes of the global defaults.

visualize(self, U, **kwargs)

pymor.discretizers.skfem.cg.discretize_stationary_cg(analytical_problem, diameter=None, mesh_type=None, element=None, preassemble=True)

Discretizes a StationaryProblem with finite elements using scikit-fem.

Parameters

analytical_problem

The StationaryProblem to discretize.

diameter

If not None, diameter is passed as an argument to the domain_discretizer.

mesh_type

If not None, a skfem.Mesh to be used for discretizing the domain of analytical_problem.

element

If not None, the skfem.Element to be used for building the finite element space. If None, mesh.elem() is used.

preassemble

If True, preassemble all operators in the resulting Model.

Returns

m

The Model that has been generated.

data

Dictionary with the following entries:

mesh

The generated skfem.Mesh.

basis

The generated skfem.Basis.

boundary_facets

Dict of boundary_facets of mesh per boundary type.

dirichlet_dofs

DOFs of the skfem.Basis associated with the Dirichlet boundary.

unassembled_m

In case preassemble is True, the generated Model before preassembling operators.