dolfin.cpp.fem¶

FEM module

Functions

`add_diagonal`(arg0, arg1, arg2, arg3)
`apply_lifting`(args, *kwargs)	Overloaded function.
`assemble_matrix`(args, *kwargs)	Overloaded function.
`assemble_scalar`(arg0)	Assemble functional over mesh
`assemble_vector`(args, *kwargs)	Overloaded function.
`bcs_cols`(arg0, arg1)
`bcs_rows`(arg0, arg1)
`block_function_spaces`(arg0)
`build_dofmap`(arg0, arg1)	Build and dofmap on a mesh.
`create_dofmap`(arg0, arg1)	Create DOLFIN DofMap object from a ufc dofmap.
`create_element_dof_layout`(arg0, arg1, arg2)	Create ElementDofLayout object from a ufc dofmap.
`create_form`(arg0, arg1)	Create DOLFIN form from a ufc form.
`create_matrix`(arg0)	Create a PETSc Mat for bilinear form.
`create_matrix_block`(arg0)	Create monolithic sparse matrix for stacked bilinear forms.
`create_matrix_nest`(arg0)	Create nested sparse matrix for bilinear forms.
`create_vector_block`(arg0)	Create a monolithic vector for multiple (stacked) linear forms.
`create_vector_nest`(arg0)	Create nested vector for multiple (stacked) linear forms.
`make_coordinate_mapping`(arg0)	Create a CoordinateElement object from a pointer to a ufc_coordinate_map.
`make_ufc_dofmap`(arg0)	Create a ufc_dofmap object from a pointer.
`make_ufc_finite_element`(arg0)	Create a ufc_finite_element object from a pointer.
`make_ufc_form`(arg0)	Create a ufc_form object from a pointer.
`set_bc`(args, *kwargs)	Overloaded function.

Classes

`CoordinateElement`	Coordinate mapping object
`DirichletBC`(args, *kwargs)	Object for representing Dirichlet (essential) boundary conditions
`DiscreteOperators`
`DofMap`	DofMap object
`ElementDofLayout`	Object describing the layout of dofs on a cell
`FiniteElement`(self, arg0)	Finite element object
`Form`(self, arg0)	Variational form object
`FormIntegrals`	Holder for integral kernels and domains
`PETScDMCollection`(self, arg0)
`ufc_coordinate_mapping`	UFC coordinate_mapping object
`ufc_dofmap`	UFC dofmap object
`ufc_finite_element`	UFC finite element object
`ufc_form`	UFC form object

class dolfin.cpp.fem.CoordinateElement¶

Bases: pybind11_builtins.pybind11_object

Coordinate mapping object

push_forward(self: dolfin.cpp.fem.CoordinateElement, arg0: numpy.ndarray[float64[m, n], flags.writeable, flags.c_contiguous], arg1: numpy.ndarray[float64[m, n], flags.c_contiguous], arg2: numpy.ndarray[float64[m, n], flags.c_contiguous]) → None¶

class dolfin.cpp.fem.DirichletBC(*args, **kwargs)¶

Bases: pybind11_builtins.pybind11_object

Object for representing Dirichlet (essential) boundary conditions

Overloaded function.

__init__(self: dolfin.cpp.fem.DirichletBC, V: dolfin.cpp.function.FunctionSpace, g: dolfin.cpp.function.Function, mark: Callable[[numpy.ndarray[float64[3, n], flags.c_contiguous]], numpy.ndarray[bool[m, 1]]], method: dolfin.cpp.fem.DirichletBC.Method) -> None
__init__(self: dolfin.cpp.fem.DirichletBC, V: dolfin.cpp.function.FunctionSpace, g: dolfin.cpp.function.Function, facets: List[int], method: dolfin.cpp.fem.DirichletBC.Method) -> None

class Method(self: dolfin.cpp.fem.DirichletBC.Method, arg0: int) → None¶

Bases: pybind11_builtins.pybind11_object

Members:

topological

geometric

pointwise

property name¶

handle) -> str

Type: (self

class dolfin.cpp.fem.DofMap¶

Bases: pybind11_builtins.pybind11_object

DofMap object

cell_dofs(self: dolfin.cpp.fem.DofMap, arg0: int) → numpy.ndarray[int32[m, 1]]¶

dof_array(self: dolfin.cpp.fem.DofMap) → numpy.ndarray[int32[m, 1]]¶

dofs(self: dolfin.cpp.fem.DofMap, arg0: dolfin.cpp.mesh.Mesh, arg1: int) → numpy.ndarray[int32[m, 1]]¶

set(self: dolfin.cpp.fem.DofMap, arg0: numpy.ndarray[float64[m, 1], flags.writeable], arg1: float) → None¶

class dolfin.cpp.fem.ElementDofLayout¶

Bases: pybind11_builtins.pybind11_object

Object describing the layout of dofs on a cell

entity_closure_dofs(self: dolfin.cpp.fem.ElementDofLayout, arg0: int, arg1: int) → numpy.ndarray[int32[m, 1]]¶

entity_dofs(self: dolfin.cpp.fem.ElementDofLayout, arg0: int, arg1: int) → numpy.ndarray[int32[m, 1]]¶

num_entity_closure_dofs(self: dolfin.cpp.fem.ElementDofLayout, arg0: int) → int¶

num_entity_dofs(self: dolfin.cpp.fem.ElementDofLayout, arg0: int) → int¶

class dolfin.cpp.fem.FiniteElement(self: dolfin.cpp.fem.FiniteElement, arg0: dolfin.cpp.fem.ufc_finite_element) → None¶

Bases: pybind11_builtins.pybind11_object

Finite element object

dof_reference_coordinates(self: dolfin.cpp.fem.FiniteElement) → numpy.ndarray[float64[m, n]]¶

num_sub_elements(self: dolfin.cpp.fem.FiniteElement) → int¶

signature(self: dolfin.cpp.fem.FiniteElement) → str¶

space_dimension(self: dolfin.cpp.fem.FiniteElement) → int¶

value_dimension(self: dolfin.cpp.fem.FiniteElement, arg0: int) → int¶

class dolfin.cpp.fem.Form(self: dolfin.cpp.fem.Form, arg0: List[dolfin.cpp.function.FunctionSpace]) → None¶

Bases: pybind11_builtins.pybind11_object

Variational form object

coordinate_mapping(self: dolfin.cpp.fem.Form) → dolfin.cpp.fem.CoordinateElement¶

function_space(self: dolfin.cpp.fem.Form, arg0: int) → dolfin.cpp.function.FunctionSpace¶

mesh(self: dolfin.cpp.fem.Form) → dolfin.cpp.mesh.Mesh¶

num_coefficients(self: dolfin.cpp.fem.Form) → int¶: Return number of coefficients in form

original_coefficient_position(self: dolfin.cpp.fem.Form, arg0: int) → int¶

set_cell_domains(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.mesh.MeshFunctionSizet) → None¶

set_coefficient(self: dolfin.cpp.fem.Form, arg0: int, arg1: dolfin.cpp.function.Function) → None¶

set_constants(self: dolfin.cpp.fem.Form, arg0: List[dolfin.cpp.function.Constant]) → None¶

set_exterior_facet_domains(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.mesh.MeshFunctionSizet) → None¶

set_interior_facet_domains(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.mesh.MeshFunctionSizet) → None¶

set_mesh(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.mesh.Mesh) → None¶

set_tabulate_tensor(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.fem.FormIntegrals.Type, arg1: int, arg2: int) → None¶

set_vertex_domains(self: dolfin.cpp.fem.Form, arg0: dolfin.cpp.mesh.MeshFunctionSizet) → None¶

class dolfin.cpp.fem.FormIntegrals¶

Bases: pybind11_builtins.pybind11_object

Holder for integral kernels and domains

class Type(self: dolfin.cpp.fem.FormIntegrals.Type, arg0: int) → None¶

Bases: pybind11_builtins.pybind11_object

Members:

cell

exterior_facet

interior_facet

property name¶

handle) -> str

Type: (self

dolfin.cpp.fem.add_diagonal(arg0: mat, arg1: dolfin.cpp.function.FunctionSpace, arg2: List[dolfin.cpp.fem.DirichletBC], arg3: float) → None¶

dolfin.cpp.fem.apply_lifting(*args, **kwargs)¶

Overloaded function.

apply_lifting(arg0: vec, arg1: List[dolfinx::fem::Form], arg2: List[List[dolfin.cpp.fem.DirichletBC]], arg3: List[vec], arg4: float) -> None

Modify vector for lifted boundary conditions

apply_lifting(arg0: numpy.ndarray[float64[m, 1], flags.writeable], arg1: List[dolfinx::fem::Form], arg2: List[List[dolfin.cpp.fem.DirichletBC]], arg3: List[numpy.ndarray[float64[m, 1]]], arg4: float) -> None

Modify vector for lifted boundary conditions

dolfin.cpp.fem.assemble_matrix(*args, **kwargs)¶

Overloaded function.

assemble_matrix(arg0: mat, arg1: dolfinx::fem::Form, arg2: List[dolfin.cpp.fem.DirichletBC]) -> None
assemble_matrix(arg0: mat, arg1: dolfinx::fem::Form, arg2: List[bool], arg3: List[bool]) -> None

dolfin.cpp.fem.assemble_scalar(arg0: dolfinx::fem::Form) → float¶: Assemble functional over mesh

dolfin.cpp.fem.assemble_vector(*args, **kwargs)¶

Overloaded function.

assemble_vector(b: vec, L: dolfinx::fem::Form) -> None

Assemble linear form into an existing vector

assemble_vector(b: numpy.ndarray[float64[m, 1], flags.writeable], L: dolfinx::fem::Form) -> None

Assemble linear form into an existing Eigen vector

dolfin.cpp.fem.bcs_cols(arg0: List[List[dolfinx::fem::Form]], arg1: List[dolfin.cpp.fem.DirichletBC]) → List[List[List[dolfin.cpp.fem.DirichletBC]]]¶

dolfin.cpp.fem.bcs_rows(arg0: List[dolfinx::fem::Form], arg1: List[dolfin.cpp.fem.DirichletBC]) → List[List[dolfin.cpp.fem.DirichletBC]]¶

dolfin.cpp.fem.block_function_spaces(arg0: List[List[dolfinx::fem::Form]]) → List[List[dolfin.cpp.function.FunctionSpace][2]]¶

dolfin.cpp.fem.build_dofmap(arg0: dolfin.cpp.mesh.Mesh, arg1: dolfinx::fem::ElementDofLayout) → dolfinx::fem::DofMap¶: Build and dofmap on a mesh.

dolfin.cpp.fem.create_dofmap(arg0: dolfin.cpp.fem.ufc_dofmap, arg1: dolfin.cpp.mesh.Mesh) → dolfinx::fem::DofMap¶: Create DOLFIN DofMap object from a ufc dofmap.

dolfin.cpp.fem.create_element_dof_layout(arg0: dolfin.cpp.fem.ufc_dofmap, arg1: dolfin.cpp.mesh.CellType, arg2: List[int]) → dolfinx::fem::ElementDofLayout¶: Create ElementDofLayout object from a ufc dofmap.

dolfin.cpp.fem.create_form(arg0: dolfin.cpp.fem.ufc_form, arg1: List[dolfin.cpp.function.FunctionSpace]) → dolfinx::fem::Form¶: Create DOLFIN form from a ufc form.

dolfin.cpp.fem.create_matrix(arg0: dolfinx::fem::Form) → mat¶: Create a PETSc Mat for bilinear form.

dolfin.cpp.fem.create_matrix_block(arg0: List[List[dolfinx::fem::Form]]) → mat¶: Create monolithic sparse matrix for stacked bilinear forms.

dolfin.cpp.fem.create_matrix_nest(arg0: List[List[dolfinx::fem::Form]]) → mat¶: Create nested sparse matrix for bilinear forms.

dolfin.cpp.fem.create_vector_block(arg0: List[dolfin.cpp.common.IndexMap]) → vec¶: Create a monolithic vector for multiple (stacked) linear forms.

dolfin.cpp.fem.create_vector_nest(arg0: List[dolfin.cpp.common.IndexMap]) → vec¶: Create nested vector for multiple (stacked) linear forms.

dolfin.cpp.fem.make_coordinate_mapping(arg0: int) → dolfinx::fem::CoordinateElement¶: Create a CoordinateElement object from a pointer to a ufc_coordinate_map.

dolfin.cpp.fem.make_ufc_dofmap(arg0: int) → dolfin.cpp.fem.ufc_dofmap¶: Create a ufc_dofmap object from a pointer.

dolfin.cpp.fem.make_ufc_finite_element(arg0: int) → dolfin.cpp.fem.ufc_finite_element¶: Create a ufc_finite_element object from a pointer.

dolfin.cpp.fem.make_ufc_form(arg0: int) → dolfin.cpp.fem.ufc_form¶: Create a ufc_form object from a pointer.

dolfin.cpp.fem.set_bc(*args, **kwargs)¶

Overloaded function.

set_bc(arg0: vec, arg1: List[dolfin.cpp.fem.DirichletBC], arg2: vec, arg3: float) -> None

Insert boundary condition values into vector

set_bc(b: numpy.ndarray[float64[m, 1], flags.writeable], bcs: List[dolfin.cpp.fem.DirichletBC], x0: numpy.ndarray[float64] = None, scale: float = 1.0) -> None

class dolfin.cpp.fem.ufc_coordinate_mapping¶

Bases: pybind11_builtins.pybind11_object

UFC coordinate_mapping object

class dolfin.cpp.fem.ufc_dofmap¶

Bases: pybind11_builtins.pybind11_object

UFC dofmap object

class dolfin.cpp.fem.ufc_finite_element¶

Bases: pybind11_builtins.pybind11_object

UFC finite element object

class dolfin.cpp.fem.ufc_form¶

Bases: pybind11_builtins.pybind11_object

UFC form object