dolfinx.cpp.fem

FEM module

Classes

Constant_complex128(self, c[, order, writable])	Value constant with respect to integration domain
Constant_complex64(self, c[, order, writable])	Value constant with respect to integration domain
Constant_float32(self, c[, order, writable])	Value constant with respect to integration domain
Constant_float64(self, c[, order, writable])	Value constant with respect to integration domain
CoordinateElement_float32()	Coordinate map element
CoordinateElement_float64()	Coordinate map element
DirichletBC_complex128([order, writable])	Object for representing Dirichlet (essential) boundary conditions
DirichletBC_complex64([order, writable])	Object for representing Dirichlet (essential) boundary conditions
DirichletBC_float32([order, writable])	Object for representing Dirichlet (essential) boundary conditions
DirichletBC_float64([order, writable])	Object for representing Dirichlet (essential) boundary conditions
DofMap(self, element_dof_layout, index_map, ...)	DofMap object
ElementDofLayout(self, block_size, ...)	Object describing the layout of dofs on a cell
Expression_complex128(self, coefficients, ...)	An Expression
Expression_complex64(self, coefficients, ...)	An Expression
Expression_float32(self, coefficients, ...)	An Expression
Expression_float64(self, coefficients, ...)	An Expression
FiniteElement_float32(], block_shape, symmetry)	Finite element object
FiniteElement_float64(], block_shape, symmetry)	Finite element object
Form_complex128([order, writable, shape, ...])	Variational form object
Form_complex64([order, writable, shape, ...])	Variational form object
Form_float32([order, writable, shape, ...])	Variational form object
Form_float64([order, writable, shape, ...])	Variational form object
FunctionSpace_float32(self, mesh, element, ...)	Finite element function space
FunctionSpace_float64(self, mesh, element, ...)	Finite element function space
Function_complex128()	A finite element function
Function_complex64()	A finite element function
Function_float32()	A finite element function
Function_float64()	A finite element function
IntegralType(value[, names, module, ...])

class dolfinx.cpp.fem.Constant_complex128(self, c: ndarray[dtype=complex128, order='C', writable=False])

Bases: object

Value constant with respect to integration domain

Create a constant from a value array

property dtype

(self) -> str

property value

(self) -> numpy.ndarray[dtype=complex128]

class dolfinx.cpp.fem.Constant_complex64(self, c: ndarray[dtype=complex64, order='C', writable=False])

Bases: object

Value constant with respect to integration domain

Create a constant from a value array

property dtype

(self) -> str

property value

(self) -> numpy.ndarray[dtype=complex64]

class dolfinx.cpp.fem.Constant_float32(self, c: ndarray[dtype=float32, order='C', writable=False])

Bases: object

Value constant with respect to integration domain

Create a constant from a value array

property dtype

(self) -> str

property value

(self) -> numpy.ndarray[dtype=float32]

class dolfinx.cpp.fem.Constant_float64(self, c: ndarray[dtype=float64, order='C', writable=False])

Bases: object

Value constant with respect to integration domain

Create a constant from a value array

property dtype

(self) -> str

property value

(self) -> numpy.ndarray[dtype=float64]

class dolfinx.cpp.fem.CoordinateElement_float32(self, celltype: dolfinx.cpp.mesh.CellType, degree: int)

class dolfinx.cpp.fem.CoordinateElement_float32(self, element: basix._basixcpp.FiniteElement_float32)

class dolfinx.cpp.fem.CoordinateElement_float32(self, celltype: dolfinx.cpp.mesh.CellType, degree: int, variant: int)

Bases: object

Coordinate map element

create_dof_layout

property degree

(self) -> int

property dim

(self) -> int

property dtype

(self) -> str

pull_back

push_forward

property variant

(self) -> int

class dolfinx.cpp.fem.CoordinateElement_float64(self, celltype: dolfinx.cpp.mesh.CellType, degree: int)

class dolfinx.cpp.fem.CoordinateElement_float64(self, element: basix._basixcpp.FiniteElement_float64)

class dolfinx.cpp.fem.CoordinateElement_float64(self, celltype: dolfinx.cpp.mesh.CellType, degree: int, variant: int)

Bases: object

Coordinate map element

create_dof_layout

property degree

(self) -> int

property dim

(self) -> int

property dtype

(self) -> str

pull_back

push_forward

property variant

(self) -> int

class dolfinx.cpp.fem.DirichletBC_complex128(self, g: ndarray[dtype=complex128, order='C', writable=False], dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float64)

class dolfinx.cpp.fem.DirichletBC_complex128(self, g: dolfinx.cpp.fem.Constant_complex128, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float64)

class dolfinx.cpp.fem.DirichletBC_complex128(self, g: dolfinx.cpp.fem.Function_complex128, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False])

class dolfinx.cpp.fem.DirichletBC_complex128(self, g: dolfinx.cpp.fem.Function_complex128, dofs: collections.abc.Sequence[ndarray[dtype=int32, shape=(*), order='C', writable=False]], V: dolfinx.cpp.fem.FunctionSpace_float64)

Bases: object

Object for representing Dirichlet (essential) boundary conditions

dof_indices

property dtype

(self) -> str

property function_space

(self) -> dolfinx::fem::FunctionSpace<double>

set

property value

(self) -> dolfinx::fem::Function<std::complex<double>, double> | dolfinx::fem::Constant<std::complex<double> >

class dolfinx.cpp.fem.DirichletBC_complex64(self, g: ndarray[dtype=complex64, order='C', writable=False], dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float32)

class dolfinx.cpp.fem.DirichletBC_complex64(self, g: dolfinx.cpp.fem.Constant_complex64, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float32)

class dolfinx.cpp.fem.DirichletBC_complex64(self, g: dolfinx.cpp.fem.Function_complex64, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False])

class dolfinx.cpp.fem.DirichletBC_complex64(self, g: dolfinx.cpp.fem.Function_complex64, dofs: collections.abc.Sequence[ndarray[dtype=int32, shape=(*), order='C', writable=False]], V: dolfinx.cpp.fem.FunctionSpace_float32)

Bases: object

Object for representing Dirichlet (essential) boundary conditions

dof_indices

property dtype

(self) -> str

property function_space

(self) -> dolfinx::fem::FunctionSpace<float>

set

property value

(self) -> dolfinx::fem::Function<std::complex<float>, float> | dolfinx::fem::Constant<std::complex<float> >

class dolfinx.cpp.fem.DirichletBC_float32(self, g: ndarray[dtype=float32, order='C', writable=False], dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float32)

class dolfinx.cpp.fem.DirichletBC_float32(self, g: dolfinx.cpp.fem.Constant_float32, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float32)

class dolfinx.cpp.fem.DirichletBC_float32(self, g: dolfinx.cpp.fem.Function_float32, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False])

class dolfinx.cpp.fem.DirichletBC_float32(self, g: dolfinx.cpp.fem.Function_float32, dofs: collections.abc.Sequence[ndarray[dtype=int32, shape=(*), order='C', writable=False]], V: dolfinx.cpp.fem.FunctionSpace_float32)

Bases: object

Object for representing Dirichlet (essential) boundary conditions

dof_indices

property dtype

(self) -> str

property function_space

(self) -> dolfinx::fem::FunctionSpace<float>

set

property value

(self) -> dolfinx::fem::Function<float, float> | dolfinx::fem::Constant<float>

class dolfinx.cpp.fem.DirichletBC_float64(self, g: ndarray[dtype=float64, order='C', writable=False], dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float64)

class dolfinx.cpp.fem.DirichletBC_float64(self, g: dolfinx.cpp.fem.Constant_float64, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False], V: dolfinx.cpp.fem.FunctionSpace_float64)

class dolfinx.cpp.fem.DirichletBC_float64(self, g: dolfinx.cpp.fem.Function_float64, dofs: ndarray[dtype=int32, shape=(*), order='C', writable=False])

class dolfinx.cpp.fem.DirichletBC_float64(self, g: dolfinx.cpp.fem.Function_float64, dofs: collections.abc.Sequence[ndarray[dtype=int32, shape=(*), order='C', writable=False]], V: dolfinx.cpp.fem.FunctionSpace_float64)

Bases: object

Object for representing Dirichlet (essential) boundary conditions

dof_indices

property dtype

(self) -> str

property function_space

(self) -> dolfinx::fem::FunctionSpace<double>

set

property value

(self) -> dolfinx::fem::Function<double, double> | dolfinx::fem::Constant<double>

class dolfinx.cpp.fem.DofMap(self, element_dof_layout: dolfinx.cpp.fem.ElementDofLayout, index_map: dolfinx.cpp.common.IndexMap, index_map_bs: int, dofmap: dolfinx.cpp.graph.AdjacencyList_int32, bs: int)

Bases: object

DofMap object

property bs

(self) -> int

cell_dofs

property dof_layout

(self) -> dolfinx.cpp.fem.ElementDofLayout

property index_map

(self) -> dolfinx.cpp.common.IndexMap

property index_map_bs

(self) -> int

map

class dolfinx.cpp.fem.ElementDofLayout(self, block_size: int, endity_dofs: collections.abc.Sequence[collections.abc.Sequence[collections.abc.Sequence[int]]], entity_closure_dofs: collections.abc.Sequence[collections.abc.Sequence[collections.abc.Sequence[int]]], parent_map: collections.abc.Sequence[int], sub_layouts: collections.abc.Sequence[dolfinx.cpp.fem.ElementDofLayout])

Bases: object

Object describing the layout of dofs on a cell

property block_size

(self) -> int

entity_closure_dofs

entity_dofs

property num_dofs

(self) -> int

num_entity_closure_dofs

num_entity_dofs

class dolfinx.cpp.fem.Expression_complex128(self, coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex128], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex128], X: ndarray[dtype=float64, shape=(*, *), order='C', writable=False], fn: int, value_shape: collections.abc.Sequence[int], argument_function_space: dolfinx.cpp.fem.FunctionSpace_float64)

Bases: object

An Expression

X

property dtype

(self) -> str

eval

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

property value_size

(self) -> int

class dolfinx.cpp.fem.Expression_complex64(self, coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex64], X: ndarray[dtype=float32, shape=(*, *), order='C', writable=False], fn: int, value_shape: collections.abc.Sequence[int], argument_function_space: dolfinx.cpp.fem.FunctionSpace_float32)

Bases: object

An Expression

X

property dtype

(self) -> str

eval

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

property value_size

(self) -> int

class dolfinx.cpp.fem.Expression_float32(self, coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float32], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float32], X: ndarray[dtype=float32, shape=(*, *), order='C', writable=False], fn: int, value_shape: collections.abc.Sequence[int], argument_function_space: dolfinx.cpp.fem.FunctionSpace_float32)

Bases: object

An Expression

X

property dtype

(self) -> str

eval

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

property value_size

(self) -> int

class dolfinx.cpp.fem.Expression_float64(self, coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float64], X: ndarray[dtype=float64, shape=(*, *), order='C', writable=False], fn: int, value_shape: collections.abc.Sequence[int], argument_function_space: dolfinx.cpp.fem.FunctionSpace_float64)

Bases: object

An Expression

X

property dtype

(self) -> str

eval

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

property value_size

(self) -> int

class dolfinx.cpp.fem.FiniteElement_float32(self, element: basix._basixcpp.FiniteElement_float32, block_shape: collections.abc.Sequence[int] | None, symmetric: bool)

class dolfinx.cpp.fem.FiniteElement_float32(self, elements: collections.abc.Sequence[dolfinx.cpp.fem.FiniteElement_float32])

class dolfinx.cpp.fem.FiniteElement_float32(self, cell_type: dolfinx.cpp.mesh.CellType, points: numpy.ndarray[dtype=float32, shape=(*, *)], block_shape: collections.abc.Sequence[int], symmetry: bool)

Bases: object

Finite element object

Overloaded function.

1. __init__(self, element: basix._basixcpp.FiniteElement_float32, block_shape: collections.abc.Sequence[int] | None, symmetric: bool) -> None

Single Basix element constructor.

2. __init__(self, elements: collections.abc.Sequence[dolfinx.cpp.fem.FiniteElement_float32]) -> None

Mixed-element constructor.

3. __init__(self, cell_type: dolfinx.cpp.mesh.CellType, points: numpy.ndarray[dtype=float32, shape=(*, *)], block_shape: collections.abc.Sequence[int], symmetry: bool) -> None

Quadrature element constructor.

T_apply

Tt_apply

Tt_inv_apply

property basix_element

(self) -> basix::FiniteElement<float>

property dtype

(self) -> str

property interpolation_ident

(self) -> bool

interpolation_points

property needs_dof_transformations

(self) -> bool

property num_sub_elements

(self) -> int

property signature

(self) -> str

property space_dimension

(self) -> int

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

class dolfinx.cpp.fem.FiniteElement_float64(self, element: basix._basixcpp.FiniteElement_float64, block_shape: collections.abc.Sequence[int] | None, symmetric: bool)

class dolfinx.cpp.fem.FiniteElement_float64(self, elements: collections.abc.Sequence[dolfinx.cpp.fem.FiniteElement_float64])

class dolfinx.cpp.fem.FiniteElement_float64(self, cell_type: dolfinx.cpp.mesh.CellType, points: numpy.ndarray[dtype=float64, shape=(*, *)], block_shape: collections.abc.Sequence[int], symmetry: bool)

Bases: object

Finite element object

Overloaded function.

1. __init__(self, element: basix._basixcpp.FiniteElement_float64, block_shape: collections.abc.Sequence[int] | None, symmetric: bool) -> None

Single Basix element constructor.

2. __init__(self, elements: collections.abc.Sequence[dolfinx.cpp.fem.FiniteElement_float64]) -> None

Mixed-element constructor.

3. __init__(self, cell_type: dolfinx.cpp.mesh.CellType, points: numpy.ndarray[dtype=float64, shape=(*, *)], block_shape: collections.abc.Sequence[int], symmetry: bool) -> None

Quadrature element constructor.

T_apply

Tt_apply

Tt_inv_apply

property basix_element

(self) -> basix::FiniteElement<double>

property dtype

(self) -> str

property interpolation_ident

(self) -> bool

interpolation_points

property needs_dof_transformations

(self) -> bool

property num_sub_elements

(self) -> int

property signature

(self) -> str

property space_dimension

(self) -> int

property value_shape

(self) -> numpy.ndarray[dtype=uint64, writable=False]

class dolfinx.cpp.fem.Form_complex128(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex128], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex128], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None)

class dolfinx.cpp.fem.Form_complex128(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex128], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex128], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None)

Bases: object

Variational form object

Overloaded function.

1. __init__(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex128], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex128], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None) -> None

2. __init__(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex128], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex128], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None) -> None

Create a Form from a pointer to a ufcx_form

property coefficients

(self) -> list[dolfinx.cpp.fem.Function_complex128]

domains

property dtype

(self) -> str

property function_spaces

(self) -> list[dolfinx::fem::FunctionSpace<double>]

integral_ids

property integral_types

(self) -> set[dolfinx::fem::IntegralType]

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float64

property needs_facet_permutations

(self) -> bool

property rank

(self) -> int

class dolfinx.cpp.fem.Form_complex64(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex64], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None)

class dolfinx.cpp.fem.Form_complex64(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex64], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None)

Bases: object

Variational form object

Overloaded function.

1. __init__(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex64], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None) -> None

2. __init__(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_complex64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_complex64], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None) -> None

Create a Form from a pointer to a ufcx_form

property coefficients

(self) -> list[dolfinx.cpp.fem.Function_complex64]

domains

property dtype

(self) -> str

property function_spaces

(self) -> list[dolfinx::fem::FunctionSpace<float>]

integral_ids

property integral_types

(self) -> set[dolfinx::fem::IntegralType]

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float32

property needs_facet_permutations

(self) -> bool

property rank

(self) -> int

class dolfinx.cpp.fem.Form_float32(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float32], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float32], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None)

class dolfinx.cpp.fem.Form_float32(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float32], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float32], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None)

Bases: object

Variational form object

Overloaded function.

1. __init__(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float32], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float32], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None) -> None

2. __init__(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float32], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float32], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float32], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float32, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float32 | None) -> None

Create a Form from a pointer to a ufcx_form

property coefficients

(self) -> list[dolfinx.cpp.fem.Function_float32]

domains

property dtype

(self) -> str

property function_spaces

(self) -> list[dolfinx::fem::FunctionSpace<float>]

integral_ids

property integral_types

(self) -> set[dolfinx::fem::IntegralType]

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float32

property needs_facet_permutations

(self) -> bool

property rank

(self) -> int

class dolfinx.cpp.fem.Form_float64(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float64], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None)

class dolfinx.cpp.fem.Form_float64(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float64], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None)

Bases: object

Variational form object

Overloaded function.

1. __init__(self, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], integrals: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, int, ndarray[dtype=int32, shape=(*), order='C', writable=False], ndarray[dtype=int8, shape=(*), order='C', writable=False]]]], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float64], need_permutation_data: bool, entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None) -> None

2. __init__(self, form: int, spaces: collections.abc.Sequence[dolfinx.cpp.fem.FunctionSpace_float64], coefficients: collections.abc.Sequence[dolfinx.cpp.fem.Function_float64], constants: collections.abc.Sequence[dolfinx.cpp.fem.Constant_float64], subdomains: collections.abc.Mapping[dolfinx.cpp.fem.IntegralType, collections.abc.Sequence[tuple[int, ndarray[dtype=int32, shape=(*), order='C', writable=False]]]], entity_maps: collections.abc.Mapping[dolfinx.cpp.mesh.Mesh_float64, ndarray[dtype=int32, shape=(*), order='C', writable=False]], mesh: dolfinx.cpp.mesh.Mesh_float64 | None) -> None

Create a Form from a pointer to a ufcx_form

property coefficients

(self) -> list[dolfinx.cpp.fem.Function_float64]

domains

property dtype

(self) -> str

property function_spaces

(self) -> list[dolfinx::fem::FunctionSpace<double>]

integral_ids

property integral_types

(self) -> set[dolfinx::fem::IntegralType]

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float64

property needs_facet_permutations

(self) -> bool

property rank

(self) -> int

class dolfinx.cpp.fem.FunctionSpace_float32(self, mesh: dolfinx.cpp.mesh.Mesh_float32, element: dolfinx.cpp.fem.FiniteElement_float32, dofmap: dolfinx.cpp.fem.DofMap)

Bases: object

Finite element function space

collapse

component

contains

property dofmap

(self) -> dolfinx.cpp.fem.DofMap

property element

(self) -> dolfinx::fem::FiniteElement<float>

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float32

sub

tabulate_dof_coordinates

class dolfinx.cpp.fem.FunctionSpace_float64(self, mesh: dolfinx.cpp.mesh.Mesh_float64, element: dolfinx.cpp.fem.FiniteElement_float64, dofmap: dolfinx.cpp.fem.DofMap)

Bases: object

Finite element function space

collapse

component

contains

property dofmap

(self) -> dolfinx.cpp.fem.DofMap

property element

(self) -> dolfinx::fem::FiniteElement<double>

property mesh

(self) -> dolfinx.cpp.mesh.Mesh_float64

sub

tabulate_dof_coordinates

class dolfinx.cpp.fem.Function_complex128(self, arg: dolfinx.cpp.fem.FunctionSpace_float64, /)

class dolfinx.cpp.fem.Function_complex128(self, arg0: dolfinx.cpp.fem.FunctionSpace_float64, arg1: dolfinx.cpp.la.Vector_complex128, /)

Bases: object

A finite element function

Overloaded function.

1. __init__(self, arg: dolfinx.cpp.fem.FunctionSpace_float64, /) -> None

Create a function on the given function space

2. __init__(self, arg0: dolfinx.cpp.fem.FunctionSpace_float64, arg1: dolfinx.cpp.la.Vector_complex128, /) -> None

collapse

Collapse sub-function view

eval

Evaluate Function

property function_space

(self) -> dolfinx::fem::FunctionSpace<double>

interpolate

Overloaded function.

1. interpolate(self, f: ndarray[dtype=complex128, shape=(*), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

2. interpolate(self, f: ndarray[dtype=complex128, shape=(*, *), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

3. interpolate(self, u: dolfinx.cpp.fem.Function_complex128, cells0: ndarray[dtype=int32, shape=(*), order='C', writable=False], cells1: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate a finite element function

4. interpolate(self, u: dolfinx.cpp.fem.Function_complex128, cells: ndarray[dtype=int32, shape=(*), order='C', writable=False], interpolation_data: dolfinx.cpp.geometry.PointOwnershipData_float64) -> None

Interpolate a finite element function on non-matching meshes

5. interpolate(self, e0: dolfinx.cpp.fem.Expression_complex128, cells0: ndarray[dtype=int32, order='C', writable=False], cells1: ndarray[dtype=int32, order='C', writable=False]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr

Interpolate using a pointer to an expression with a C signature

property name

(self) -> str

sub

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_complex64(self, arg: dolfinx.cpp.fem.FunctionSpace_float32, /)

class dolfinx.cpp.fem.Function_complex64(self, arg0: dolfinx.cpp.fem.FunctionSpace_float32, arg1: dolfinx.cpp.la.Vector_complex64, /)

Bases: object

A finite element function

Overloaded function.

1. __init__(self, arg: dolfinx.cpp.fem.FunctionSpace_float32, /) -> None

Create a function on the given function space

2. __init__(self, arg0: dolfinx.cpp.fem.FunctionSpace_float32, arg1: dolfinx.cpp.la.Vector_complex64, /) -> None

collapse

Collapse sub-function view

eval

Evaluate Function

property function_space

(self) -> dolfinx::fem::FunctionSpace<float>

interpolate

Overloaded function.

1. interpolate(self, f: ndarray[dtype=complex64, shape=(*), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

2. interpolate(self, f: ndarray[dtype=complex64, shape=(*, *), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

3. interpolate(self, u: dolfinx.cpp.fem.Function_complex64, cells0: ndarray[dtype=int32, shape=(*), order='C', writable=False], cells1: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate a finite element function

4. interpolate(self, u: dolfinx.cpp.fem.Function_complex64, cells: ndarray[dtype=int32, shape=(*), order='C', writable=False], interpolation_data: dolfinx.cpp.geometry.PointOwnershipData_float32) -> None

Interpolate a finite element function on non-matching meshes

5. interpolate(self, e0: dolfinx.cpp.fem.Expression_complex64, cells0: ndarray[dtype=int32, order='C', writable=False], cells1: ndarray[dtype=int32, order='C', writable=False]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr

Interpolate using a pointer to an expression with a C signature

property name

(self) -> str

sub

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_float32(self, arg: dolfinx.cpp.fem.FunctionSpace_float32, /)

class dolfinx.cpp.fem.Function_float32(self, arg0: dolfinx.cpp.fem.FunctionSpace_float32, arg1: dolfinx.cpp.la.Vector_float32, /)

Bases: object

A finite element function

Overloaded function.

1. __init__(self, arg: dolfinx.cpp.fem.FunctionSpace_float32, /) -> None

Create a function on the given function space

2. __init__(self, arg0: dolfinx.cpp.fem.FunctionSpace_float32, arg1: dolfinx.cpp.la.Vector_float32, /) -> None

collapse

Collapse sub-function view

eval

Evaluate Function

property function_space

(self) -> dolfinx::fem::FunctionSpace<float>

interpolate

Overloaded function.

1. interpolate(self, f: ndarray[dtype=float32, shape=(*), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

2. interpolate(self, f: ndarray[dtype=float32, shape=(*, *), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

3. interpolate(self, u: dolfinx.cpp.fem.Function_float32, cells0: ndarray[dtype=int32, shape=(*), order='C', writable=False], cells1: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate a finite element function

4. interpolate(self, u: dolfinx.cpp.fem.Function_float32, cells: ndarray[dtype=int32, shape=(*), order='C', writable=False], interpolation_data: dolfinx.cpp.geometry.PointOwnershipData_float32) -> None

Interpolate a finite element function on non-matching meshes

5. interpolate(self, e0: dolfinx.cpp.fem.Expression_float32, cells0: ndarray[dtype=int32, order='C', writable=False], cells1: ndarray[dtype=int32, order='C', writable=False]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr

Interpolate using a pointer to an expression with a C signature

property name

(self) -> str

sub

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_float64(self, arg: dolfinx.cpp.fem.FunctionSpace_float64, /)

class dolfinx.cpp.fem.Function_float64(self, arg0: dolfinx.cpp.fem.FunctionSpace_float64, arg1: dolfinx.cpp.la.Vector_float64, /)

Bases: object

A finite element function

Overloaded function.

1. __init__(self, arg: dolfinx.cpp.fem.FunctionSpace_float64, /) -> None

Create a function on the given function space

2. __init__(self, arg0: dolfinx.cpp.fem.FunctionSpace_float64, arg1: dolfinx.cpp.la.Vector_float64, /) -> None

collapse

Collapse sub-function view

eval

Evaluate Function

property function_space

(self) -> dolfinx::fem::FunctionSpace<double>

interpolate

Overloaded function.

1. interpolate(self, f: ndarray[dtype=float64, shape=(*), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

2. interpolate(self, f: ndarray[dtype=float64, shape=(*, *), order='C', writable=False], cells: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate an expression function

3. interpolate(self, u: dolfinx.cpp.fem.Function_float64, cells0: ndarray[dtype=int32, shape=(*), order='C', writable=False], cells1: ndarray[dtype=int32, shape=(*), order='C', writable=False]) -> None

Interpolate a finite element function

4. interpolate(self, u: dolfinx.cpp.fem.Function_float64, cells: ndarray[dtype=int32, shape=(*), order='C', writable=False], interpolation_data: dolfinx.cpp.geometry.PointOwnershipData_float64) -> None

Interpolate a finite element function on non-matching meshes

5. interpolate(self, e0: dolfinx.cpp.fem.Expression_float64, cells0: ndarray[dtype=int32, order='C', writable=False], cells1: ndarray[dtype=int32, order='C', writable=False]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr

Interpolate using a pointer to an expression with a C signature

property name

(self) -> str

sub

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.IntegralType(value, names=<not given>, *values, module=None, qualname=None, type=None, start=1, boundary=None)

Bases: Enum

cell = 0

exterior_facet = 1

interior_facet = 2

vertex = 3