dolfinx.cpp.fem

FEM module

Functions

apply_lifting(*args, **kwargs)

Overloaded function.

assemble_matrix(*args, **kwargs)

Overloaded function.

assemble_scalar(*args, **kwargs)

Overloaded function.

assemble_vector(*args, **kwargs)

Overloaded function.

build_dofmap(arg0, arg1, arg2)

Build and dofmap on a mesh.

create_dofmap(arg0, arg1, arg2, arg3)

Create DofMap object from a pointer to ufcx_dofmap.

create_element_dof_layout(arg0, arg1, arg2)

Create ElementDofLayout object from a ufc dofmap.

create_expression_complex128(arg0, arg1, ...)

Create Form from a pointer to ufc_form.

create_expression_complex64(arg0, arg1, ...)

Create Form from a pointer to ufc_form.

create_expression_float32(arg0, arg1, arg2, ...)

Create Form from a pointer to ufc_form.

create_expression_float64(arg0, arg1, arg2, ...)

Create Form from a pointer to ufc_form.

create_form_complex128(arg0, arg1, arg2, ...)

Create Form from a pointer to ufcx_form.

create_form_complex64(arg0, arg1, arg2, ...)

Create Form from a pointer to ufcx_form.

create_form_float32(arg0, arg1, arg2, arg3, ...)

Create Form from a pointer to ufcx_form.

create_form_float64(arg0, arg1, arg2, arg3, ...)

Create Form from a pointer to ufcx_form.

create_sparsity_pattern(arg0, arg1, arg2)

Create a sparsity pattern.

insert_diagonal(*args, **kwargs)

Overloaded function.

locate_dofs_geometrical(*args, **kwargs)

Overloaded function.

locate_dofs_topological(*args, **kwargs)

Overloaded function.

pack_coefficients(*args, **kwargs)

Overloaded function.

pack_constants(*args, **kwargs)

Overloaded function.

set_bc(*args, **kwargs)

Overloaded function.

transpose_dofmap(arg0, arg1)

Build the index to (cell, local index) map from a dofmap ((cell, local index ) -> index).

Classes

Constant_complex128(*args, **kwargs)

Value constant with respect to integration domain

Constant_complex64(*args, **kwargs)

Value constant with respect to integration domain

Constant_float32(*args, **kwargs)

Value constant with respect to integration domain

Constant_float64(*args, **kwargs)

Value constant with respect to integration domain

CoordinateElement(self, celltype, degree)

Coordinate map element

DirichletBC_complex128(*args, **kwargs)

Object for representing Dirichlet (essential) boundary conditions

DirichletBC_complex64(*args, **kwargs)

Object for representing Dirichlet (essential) boundary conditions

DirichletBC_float32(*args, **kwargs)

Object for representing Dirichlet (essential) boundary conditions

DirichletBC_float64(*args, **kwargs)

Object for representing Dirichlet (essential) boundary conditions

DofMap(self, element_dof_layout, index_map, ...)

DofMap object

ElementDofLayout(self, arg0, arg1, arg2, ...)

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(self, arg0)

Finite element object

Form_complex128(*args, **kwargs)

Variational form object

Form_complex64(*args, **kwargs)

Variational form object

Form_float32(*args, **kwargs)

Variational form object

Form_float64(*args, **kwargs)

Variational form object

FunctionSpace(self, arg0, arg1, arg2)

Function_complex128(*args, **kwargs)

A finite element function

Function_complex64(*args, **kwargs)

A finite element function

Function_float32(*args, **kwargs)

A finite element function

Function_float64(*args, **kwargs)

A finite element function

IntegralType(self, value)

Members:
class dolfinx.cpp.fem.Constant_complex128(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Value constant with respect to integration domain

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Constant_complex128, c: complex) -> None

Create a constant from a scalar

  1. __init__(self: dolfinx.cpp.fem.Constant_complex128, c: numpy.ndarray[numpy.complex128]) -> None

Create a constant from a value array

property dtype
property value
class dolfinx.cpp.fem.Constant_complex64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Value constant with respect to integration domain

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Constant_complex64, c: complex) -> None

Create a constant from a scalar

  1. __init__(self: dolfinx.cpp.fem.Constant_complex64, c: numpy.ndarray[numpy.complex64]) -> None

Create a constant from a value array

property dtype
property value
class dolfinx.cpp.fem.Constant_float32(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Value constant with respect to integration domain

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Constant_float32, c: float) -> None

Create a constant from a scalar

  1. __init__(self: dolfinx.cpp.fem.Constant_float32, c: numpy.ndarray[numpy.float32]) -> None

Create a constant from a value array

property dtype
property value
class dolfinx.cpp.fem.Constant_float64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Value constant with respect to integration domain

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Constant_float64, c: float) -> None

Create a constant from a scalar

  1. __init__(self: dolfinx.cpp.fem.Constant_float64, c: numpy.ndarray[numpy.float64]) -> None

Create a constant from a value array

property dtype
property value
class dolfinx.cpp.fem.CoordinateElement(self: dolfinx.cpp.fem.CoordinateElement, celltype: dolfinx.cpp.mesh.CellType, degree: int) → None

Bases: pybind11_builtins.pybind11_object

Coordinate map element

create_dof_layout(self: dolfinx.cpp.fem.CoordinateElement) → dolfinx.cpp.fem.ElementDofLayout
property degree
pull_back(self: dolfinx.cpp.fem.CoordinateElement, arg0: numpy.ndarray[numpy.float64], arg1: numpy.ndarray[numpy.float64]) → numpy.ndarray[numpy.float64]
push_forward(self: dolfinx.cpp.fem.CoordinateElement, arg0: numpy.ndarray[numpy.float64], arg1: numpy.ndarray[numpy.float64]) → numpy.ndarray[numpy.float64]
class dolfinx.cpp.fem.DirichletBC_complex128(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Object for representing Dirichlet (essential) boundary conditions

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.DirichletBC_complex128, g: complex, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  2. __init__(self: dolfinx.cpp.fem.DirichletBC_complex128, g: numpy.ndarray[numpy.complex128], dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  3. __init__(self: dolfinx.cpp.fem.DirichletBC_complex128, g: dolfinx::fem::Constant<std::complex<double> >, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  4. __init__(self: dolfinx.cpp.fem.DirichletBC_complex128, g: dolfinx::fem::Function<std::complex<double> >, dofs: numpy.ndarray[numpy.int32]) -> None

  5. __init__(self: dolfinx.cpp.fem.DirichletBC_complex128, g: dolfinx::fem::Function<std::complex<double> >, dofs: List[numpy.ndarray[numpy.int32][2]], V: dolfinx::fem::FunctionSpace) -> None

dof_indices(self: dolfinx.cpp.fem.DirichletBC_complex128) → Tuple[numpy.ndarray[numpy.int32], int]
property dtype
property function_space
property value
class dolfinx.cpp.fem.DirichletBC_complex64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Object for representing Dirichlet (essential) boundary conditions

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.DirichletBC_complex64, g: complex, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  2. __init__(self: dolfinx.cpp.fem.DirichletBC_complex64, g: numpy.ndarray[numpy.complex64], dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  3. __init__(self: dolfinx.cpp.fem.DirichletBC_complex64, g: dolfinx::fem::Constant<std::complex<float> >, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  4. __init__(self: dolfinx.cpp.fem.DirichletBC_complex64, g: dolfinx::fem::Function<std::complex<float> >, dofs: numpy.ndarray[numpy.int32]) -> None

  5. __init__(self: dolfinx.cpp.fem.DirichletBC_complex64, g: dolfinx::fem::Function<std::complex<float> >, dofs: List[numpy.ndarray[numpy.int32][2]], V: dolfinx::fem::FunctionSpace) -> None

dof_indices(self: dolfinx.cpp.fem.DirichletBC_complex64) → Tuple[numpy.ndarray[numpy.int32], int]
property dtype
property function_space
property value
class dolfinx.cpp.fem.DirichletBC_float32(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Object for representing Dirichlet (essential) boundary conditions

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.DirichletBC_float32, g: float, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  2. __init__(self: dolfinx.cpp.fem.DirichletBC_float32, g: numpy.ndarray[numpy.float32], dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  3. __init__(self: dolfinx.cpp.fem.DirichletBC_float32, g: dolfinx::fem::Constant<float>, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  4. __init__(self: dolfinx.cpp.fem.DirichletBC_float32, g: dolfinx::fem::Function<float>, dofs: numpy.ndarray[numpy.int32]) -> None

  5. __init__(self: dolfinx.cpp.fem.DirichletBC_float32, g: dolfinx::fem::Function<float>, dofs: List[numpy.ndarray[numpy.int32][2]], V: dolfinx::fem::FunctionSpace) -> None

dof_indices(self: dolfinx.cpp.fem.DirichletBC_float32) → Tuple[numpy.ndarray[numpy.int32], int]
property dtype
property function_space
property value
class dolfinx.cpp.fem.DirichletBC_float64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Object for representing Dirichlet (essential) boundary conditions

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.DirichletBC_float64, g: float, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  2. __init__(self: dolfinx.cpp.fem.DirichletBC_float64, g: numpy.ndarray[numpy.float64], dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  3. __init__(self: dolfinx.cpp.fem.DirichletBC_float64, g: dolfinx::fem::Constant<double>, dofs: numpy.ndarray[numpy.int32], V: dolfinx::fem::FunctionSpace) -> None

  4. __init__(self: dolfinx.cpp.fem.DirichletBC_float64, g: dolfinx::fem::Function<double>, dofs: numpy.ndarray[numpy.int32]) -> None

  5. __init__(self: dolfinx.cpp.fem.DirichletBC_float64, g: dolfinx::fem::Function<double>, dofs: List[numpy.ndarray[numpy.int32][2]], V: dolfinx::fem::FunctionSpace) -> None

dof_indices(self: dolfinx.cpp.fem.DirichletBC_float64) → Tuple[numpy.ndarray[numpy.int32], int]
property dtype
property function_space
property value
class dolfinx.cpp.fem.DofMap(self: dolfinx.cpp.fem.DofMap, 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) → None

Bases: pybind11_builtins.pybind11_object

DofMap object

property bs
cell_dofs(self: dolfinx.cpp.fem.DofMap, arg0: int) → numpy.ndarray[numpy.int32]
property dof_layout
property index_map
property index_map_bs
list(self: dolfinx.cpp.fem.DofMap) → dolfinx.cpp.graph.AdjacencyList_int32
class dolfinx.cpp.fem.ElementDofLayout(self: dolfinx.cpp.fem.ElementDofLayout, arg0: int, arg1: List[List[List[int]]], arg2: List[List[List[int]]], arg3: List[int], arg4: List[dolfinx.cpp.fem.ElementDofLayout]) → None

Bases: pybind11_builtins.pybind11_object

Object describing the layout of dofs on a cell

property block_size
entity_closure_dofs(self: dolfinx.cpp.fem.ElementDofLayout, arg0: int, arg1: int) → List[int]
entity_dofs(self: dolfinx.cpp.fem.ElementDofLayout, arg0: int, arg1: int) → List[int]
property num_dofs
num_entity_closure_dofs(self: dolfinx.cpp.fem.ElementDofLayout, arg0: int) → int
num_entity_dofs(self: dolfinx.cpp.fem.ElementDofLayout, arg0: int) → int
class dolfinx.cpp.fem.Expression_complex128(self: dolfinx.cpp.fem.Expression_complex128, coefficients: List[dolfinx.cpp.fem.Function_complex128], constants: List[dolfinx.cpp.fem.Constant_complex128], X: numpy.ndarray[numpy.float64], fn: int, value_shape: List[int], mesh: dolfinx.cpp.mesh.Mesh, argument_function_space: dolfinx::fem::FunctionSpace) → None

Bases: pybind11_builtins.pybind11_object

An Expression

property X
property dtype
eval(self: dolfinx.cpp.fem.Expression_complex128, arg0: numpy.ndarray[numpy.int32], arg1: numpy.ndarray[numpy.complex128]) → None
property mesh
property value_shape
property value_size
class dolfinx.cpp.fem.Expression_complex64(self: dolfinx.cpp.fem.Expression_complex64, coefficients: List[dolfinx.cpp.fem.Function_complex64], constants: List[dolfinx.cpp.fem.Constant_complex64], X: numpy.ndarray[numpy.float64], fn: int, value_shape: List[int], mesh: dolfinx.cpp.mesh.Mesh, argument_function_space: dolfinx::fem::FunctionSpace) → None

Bases: pybind11_builtins.pybind11_object

An Expression

property X
property dtype
eval(self: dolfinx.cpp.fem.Expression_complex64, arg0: numpy.ndarray[numpy.int32], arg1: numpy.ndarray[numpy.complex64]) → None
property mesh
property value_shape
property value_size
class dolfinx.cpp.fem.Expression_float32(self: dolfinx.cpp.fem.Expression_float32, coefficients: List[dolfinx.cpp.fem.Function_float32], constants: List[dolfinx.cpp.fem.Constant_float32], X: numpy.ndarray[numpy.float64], fn: int, value_shape: List[int], mesh: dolfinx.cpp.mesh.Mesh, argument_function_space: dolfinx::fem::FunctionSpace) → None

Bases: pybind11_builtins.pybind11_object

An Expression

property X
property dtype
eval(self: dolfinx.cpp.fem.Expression_float32, arg0: numpy.ndarray[numpy.int32], arg1: numpy.ndarray[numpy.float32]) → None
property mesh
property value_shape
property value_size
class dolfinx.cpp.fem.Expression_float64(self: dolfinx.cpp.fem.Expression_float64, coefficients: List[dolfinx.cpp.fem.Function_float64], constants: List[dolfinx.cpp.fem.Constant_float64], X: numpy.ndarray[numpy.float64], fn: int, value_shape: List[int], mesh: dolfinx.cpp.mesh.Mesh, argument_function_space: dolfinx::fem::FunctionSpace) → None

Bases: pybind11_builtins.pybind11_object

An Expression

property X
property dtype
eval(self: dolfinx.cpp.fem.Expression_float64, arg0: numpy.ndarray[numpy.int32], arg1: numpy.ndarray[numpy.float64]) → None
property mesh
property value_shape
property value_size
class dolfinx.cpp.fem.FiniteElement(self: dolfinx.cpp.fem.FiniteElement, arg0: int) → None

Bases: pybind11_builtins.pybind11_object

Finite element object

apply_dof_transformation(self: dolfinx.cpp.fem.FiniteElement, arg0: numpy.ndarray[numpy.float64], arg1: int, arg2: int) → None
property interpolation_ident
property interpolation_points
property needs_dof_transformations
property num_sub_elements
signature(self: dolfinx.cpp.fem.FiniteElement) → str
property space_dimension
property value_shape
class dolfinx.cpp.fem.Form_complex128(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Variational form object

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Form_complex128, spaces: List[dolfinx::fem::FunctionSpace], integrals: Dict[dolfinx::fem::IntegralType, Tuple[List[Tuple[int, object]], dolfinx.cpp.mesh.MeshTags_int32]], coefficients: List[dolfinx.cpp.fem.Function_complex128], constants: List[dolfinx.cpp.fem.Constant_complex128], need_permutation_data: bool, mesh: dolfinx.cpp.mesh.Mesh = None) -> None

  2. __init__(self: dolfinx.cpp.fem.Form_complex128, arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_complex128], arg3: List[dolfinx.cpp.fem.Constant_complex128], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) -> None

Create a Form from a pointer to a ufcx_form

property coefficients
domains(self: dolfinx.cpp.fem.Form_complex128, arg0: dolfinx::fem::IntegralType, arg1: int) → numpy.ndarray[numpy.int32]
property dtype
property function_spaces
integral_ids(self: dolfinx.cpp.fem.Form_complex128, arg0: dolfinx::fem::IntegralType) → List[int]
property integral_types
property mesh
property needs_facet_permutations
property rank
class dolfinx.cpp.fem.Form_complex64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Variational form object

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Form_complex64, spaces: List[dolfinx::fem::FunctionSpace], integrals: Dict[dolfinx::fem::IntegralType, Tuple[List[Tuple[int, object]], dolfinx.cpp.mesh.MeshTags_int32]], coefficients: List[dolfinx.cpp.fem.Function_complex64], constants: List[dolfinx.cpp.fem.Constant_complex64], need_permutation_data: bool, mesh: dolfinx.cpp.mesh.Mesh = None) -> None

  2. __init__(self: dolfinx.cpp.fem.Form_complex64, arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_complex64], arg3: List[dolfinx.cpp.fem.Constant_complex64], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) -> None

Create a Form from a pointer to a ufcx_form

property coefficients
domains(self: dolfinx.cpp.fem.Form_complex64, arg0: dolfinx::fem::IntegralType, arg1: int) → numpy.ndarray[numpy.int32]
property dtype
property function_spaces
integral_ids(self: dolfinx.cpp.fem.Form_complex64, arg0: dolfinx::fem::IntegralType) → List[int]
property integral_types
property mesh
property needs_facet_permutations
property rank
class dolfinx.cpp.fem.Form_float32(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Variational form object

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Form_float32, spaces: List[dolfinx::fem::FunctionSpace], integrals: Dict[dolfinx::fem::IntegralType, Tuple[List[Tuple[int, object]], dolfinx.cpp.mesh.MeshTags_int32]], coefficients: List[dolfinx.cpp.fem.Function_float32], constants: List[dolfinx.cpp.fem.Constant_float32], need_permutation_data: bool, mesh: dolfinx.cpp.mesh.Mesh = None) -> None

  2. __init__(self: dolfinx.cpp.fem.Form_float32, arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_float32], arg3: List[dolfinx.cpp.fem.Constant_float32], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) -> None

Create a Form from a pointer to a ufcx_form

property coefficients
domains(self: dolfinx.cpp.fem.Form_float32, arg0: dolfinx::fem::IntegralType, arg1: int) → numpy.ndarray[numpy.int32]
property dtype
property function_spaces
integral_ids(self: dolfinx.cpp.fem.Form_float32, arg0: dolfinx::fem::IntegralType) → List[int]
property integral_types
property mesh
property needs_facet_permutations
property rank
class dolfinx.cpp.fem.Form_float64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

Variational form object

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Form_float64, spaces: List[dolfinx::fem::FunctionSpace], integrals: Dict[dolfinx::fem::IntegralType, Tuple[List[Tuple[int, object]], dolfinx.cpp.mesh.MeshTags_int32]], coefficients: List[dolfinx.cpp.fem.Function_float64], constants: List[dolfinx.cpp.fem.Constant_float64], need_permutation_data: bool, mesh: dolfinx.cpp.mesh.Mesh = None) -> None

  2. __init__(self: dolfinx.cpp.fem.Form_float64, arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_float64], arg3: List[dolfinx.cpp.fem.Constant_float64], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) -> None

Create a Form from a pointer to a ufcx_form

property coefficients
domains(self: dolfinx.cpp.fem.Form_float64, arg0: dolfinx::fem::IntegralType, arg1: int) → numpy.ndarray[numpy.int32]
property dtype
property function_spaces
integral_ids(self: dolfinx.cpp.fem.Form_float64, arg0: dolfinx::fem::IntegralType) → List[int]
property integral_types
property mesh
property needs_facet_permutations
property rank
class dolfinx.cpp.fem.FunctionSpace(self: dolfinx.cpp.fem.FunctionSpace, arg0: dolfinx.cpp.mesh.Mesh, arg1: dolfinx.cpp.fem.FiniteElement, arg2: dolfinx.cpp.fem.DofMap) → None

Bases: pybind11_builtins.pybind11_object

collapse(self: dolfinx.cpp.fem.FunctionSpace) → Tuple[dolfinx.cpp.fem.FunctionSpace, List[int]]
component(self: dolfinx.cpp.fem.FunctionSpace) → List[int]
contains(self: dolfinx.cpp.fem.FunctionSpace, arg0: dolfinx.cpp.fem.FunctionSpace) → bool
property dofmap
property element
property mesh
sub(self: dolfinx.cpp.fem.FunctionSpace, arg0: List[int]) → dolfinx.cpp.fem.FunctionSpace
tabulate_dof_coordinates(self: dolfinx.cpp.fem.FunctionSpace) → numpy.ndarray[numpy.float64]
class dolfinx.cpp.fem.Function_complex128(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

A finite element function

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Function_complex128, arg0: dolfinx::fem::FunctionSpace) -> None

Create a function on the given function space

  1. __init__(self: dolfinx.cpp.fem.Function_complex128, arg0: dolfinx::fem::FunctionSpace, arg1: dolfinx::la::Vector<std::complex<double>, std::allocator<std::complex<double> > >) -> None

collapse(self: dolfinx.cpp.fem.Function_complex128) → dolfinx.cpp.fem.Function_complex128

Collapse sub-function view

eval(self: dolfinx.cpp.fem.Function_complex128, x: numpy.ndarray[numpy.float64], cells: numpy.ndarray[numpy.int32], values: numpy.ndarray[numpy.complex128]) → None

Evaluate Function

property function_space
interpolate(*args, **kwargs)

Overloaded function.

  1. interpolate(self: dolfinx.cpp.fem.Function_complex128, f: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[numpy.complex128]], cells: numpy.ndarray[numpy.int32]) -> None

Interpolate an expression function

  1. interpolate(self: dolfinx.cpp.fem.Function_complex128, u: dolfinx.cpp.fem.Function_complex128, cells: numpy.ndarray[numpy.int32]) -> None

Interpolate a finite element function

  1. interpolate(self: dolfinx.cpp.fem.Function_complex128, arg0: dolfinx::fem::Expression<std::complex<double> >, arg1: numpy.ndarray[numpy.int32]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr(self: dolfinx.cpp.fem.Function_complex128, f: int, cells: numpy.ndarray[numpy.int32]) → None

Interpolate using a pointer to an Expression with a C signature

property name
sub(self: dolfinx.cpp.fem.Function_complex128, arg0: int) → dolfinx.cpp.fem.Function_complex128

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_complex64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

A finite element function

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Function_complex64, arg0: dolfinx::fem::FunctionSpace) -> None

Create a function on the given function space

  1. __init__(self: dolfinx.cpp.fem.Function_complex64, arg0: dolfinx::fem::FunctionSpace, arg1: dolfinx::la::Vector<std::complex<float>, std::allocator<std::complex<float> > >) -> None

collapse(self: dolfinx.cpp.fem.Function_complex64) → dolfinx.cpp.fem.Function_complex64

Collapse sub-function view

eval(self: dolfinx.cpp.fem.Function_complex64, x: numpy.ndarray[numpy.float64], cells: numpy.ndarray[numpy.int32], values: numpy.ndarray[numpy.complex64]) → None

Evaluate Function

property function_space
interpolate(*args, **kwargs)

Overloaded function.

  1. interpolate(self: dolfinx.cpp.fem.Function_complex64, f: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[numpy.complex64]], cells: numpy.ndarray[numpy.int32]) -> None

Interpolate an expression function

  1. interpolate(self: dolfinx.cpp.fem.Function_complex64, u: dolfinx.cpp.fem.Function_complex64, cells: numpy.ndarray[numpy.int32]) -> None

Interpolate a finite element function

  1. interpolate(self: dolfinx.cpp.fem.Function_complex64, arg0: dolfinx::fem::Expression<std::complex<float> >, arg1: numpy.ndarray[numpy.int32]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr(self: dolfinx.cpp.fem.Function_complex64, f: int, cells: numpy.ndarray[numpy.int32]) → None

Interpolate using a pointer to an Expression with a C signature

property name
sub(self: dolfinx.cpp.fem.Function_complex64, arg0: int) → dolfinx.cpp.fem.Function_complex64

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_float32(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

A finite element function

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Function_float32, arg0: dolfinx::fem::FunctionSpace) -> None

Create a function on the given function space

  1. __init__(self: dolfinx.cpp.fem.Function_float32, arg0: dolfinx::fem::FunctionSpace, arg1: dolfinx::la::Vector<float, std::allocator<float> >) -> None

collapse(self: dolfinx.cpp.fem.Function_float32) → dolfinx.cpp.fem.Function_float32

Collapse sub-function view

eval(self: dolfinx.cpp.fem.Function_float32, x: numpy.ndarray[numpy.float64], cells: numpy.ndarray[numpy.int32], values: numpy.ndarray[numpy.float32]) → None

Evaluate Function

property function_space
interpolate(*args, **kwargs)

Overloaded function.

  1. interpolate(self: dolfinx.cpp.fem.Function_float32, f: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[numpy.float32]], cells: numpy.ndarray[numpy.int32]) -> None

Interpolate an expression function

  1. interpolate(self: dolfinx.cpp.fem.Function_float32, u: dolfinx.cpp.fem.Function_float32, cells: numpy.ndarray[numpy.int32]) -> None

Interpolate a finite element function

  1. interpolate(self: dolfinx.cpp.fem.Function_float32, arg0: dolfinx::fem::Expression<float>, arg1: numpy.ndarray[numpy.int32]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr(self: dolfinx.cpp.fem.Function_float32, f: int, cells: numpy.ndarray[numpy.int32]) → None

Interpolate using a pointer to an Expression with a C signature

property name
sub(self: dolfinx.cpp.fem.Function_float32, arg0: int) → dolfinx.cpp.fem.Function_float32

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.Function_float64(*args, **kwargs)

Bases: pybind11_builtins.pybind11_object

A finite element function

Overloaded function.

  1. __init__(self: dolfinx.cpp.fem.Function_float64, arg0: dolfinx::fem::FunctionSpace) -> None

Create a function on the given function space

  1. __init__(self: dolfinx.cpp.fem.Function_float64, arg0: dolfinx::fem::FunctionSpace, arg1: dolfinx::la::Vector<double, std::allocator<double> >) -> None

collapse(self: dolfinx.cpp.fem.Function_float64) → dolfinx.cpp.fem.Function_float64

Collapse sub-function view

eval(self: dolfinx.cpp.fem.Function_float64, x: numpy.ndarray[numpy.float64], cells: numpy.ndarray[numpy.int32], values: numpy.ndarray[numpy.float64]) → None

Evaluate Function

property function_space
interpolate(*args, **kwargs)

Overloaded function.

  1. interpolate(self: dolfinx.cpp.fem.Function_float64, f: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[numpy.float64]], cells: numpy.ndarray[numpy.int32]) -> None

Interpolate an expression function

  1. interpolate(self: dolfinx.cpp.fem.Function_float64, u: dolfinx.cpp.fem.Function_float64, cells: numpy.ndarray[numpy.int32]) -> None

Interpolate a finite element function

  1. interpolate(self: dolfinx.cpp.fem.Function_float64, arg0: dolfinx::fem::Expression<double>, arg1: numpy.ndarray[numpy.int32]) -> None

Interpolate an Expression on a set of cells

interpolate_ptr(self: dolfinx.cpp.fem.Function_float64, f: int, cells: numpy.ndarray[numpy.int32]) → None

Interpolate using a pointer to an Expression with a C signature

property name
sub(self: dolfinx.cpp.fem.Function_float64, arg0: int) → dolfinx.cpp.fem.Function_float64

Return sub-function (view into parent Function

property x

Return the vector associated with the finite element Function

class dolfinx.cpp.fem.IntegralType(self: dolfinx.cpp.fem.IntegralType, value: int) → None

Bases: pybind11_builtins.pybind11_object

Members:

cell

exterior_facet

interior_facet

vertex

cell = <IntegralType.cell: 0>
exterior_facet = <IntegralType.exterior_facet: 1>
interior_facet = <IntegralType.interior_facet: 2>
property name
property value
vertex = <IntegralType.vertex: 3>
dolfinx.cpp.fem.apply_lifting(*args, **kwargs)

Overloaded function.

  1. apply_lifting(arg0: numpy.ndarray[numpy.float64], arg1: List[dolfinx::fem::Form<double>], arg2: List[numpy.ndarray[numpy.float64]], arg3: List[Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float64]]], arg4: List[List[dolfinx::fem::DirichletBC<double>]], arg5: List[numpy.ndarray[numpy.float64]], arg6: float) -> None

Modify vector for lifted boundary conditions

  1. apply_lifting(arg0: numpy.ndarray[numpy.float32], arg1: List[dolfinx::fem::Form<float>], arg2: List[numpy.ndarray[numpy.float32]], arg3: List[Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float32]]], arg4: List[List[dolfinx::fem::DirichletBC<float>]], arg5: List[numpy.ndarray[numpy.float32]], arg6: float) -> None

Modify vector for lifted boundary conditions

  1. apply_lifting(arg0: numpy.ndarray[numpy.complex128], arg1: List[dolfinx::fem::Form<std::complex<double> >], arg2: List[numpy.ndarray[numpy.complex128]], arg3: List[Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.complex128]]], arg4: List[List[dolfinx::fem::DirichletBC<std::complex<double> >]], arg5: List[numpy.ndarray[numpy.complex128]], arg6: float) -> None

Modify vector for lifted boundary conditions

dolfinx.cpp.fem.assemble_matrix(*args, **kwargs)

Overloaded function.

  1. assemble_matrix(arg0: dolfinx::la::MatrixCSR<double, std::allocator<double> >, arg1: dolfinx::fem::Form<double>, arg2: numpy.ndarray[numpy.float64], arg3: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float64]], arg4: List[dolfinx::fem::DirichletBC<double>]) -> None

Experimental.

  1. assemble_matrix(arg0: Callable[[numpy.ndarray[numpy.int32], numpy.ndarray[numpy.int32], numpy.ndarray[numpy.float64]], int], arg1: dolfinx::fem::Form<double>, arg2: List[dolfinx::fem::DirichletBC<double>]) -> None

Experimental assembly with Python insertion function. This will be slow. Use for testing only.

  1. assemble_matrix(arg0: dolfinx::la::MatrixCSR<float, std::allocator<float> >, arg1: dolfinx::fem::Form<float>, arg2: numpy.ndarray[numpy.float32], arg3: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float32]], arg4: List[dolfinx::fem::DirichletBC<float>]) -> None

Experimental.

  1. assemble_matrix(arg0: Callable[[numpy.ndarray[numpy.int32], numpy.ndarray[numpy.int32], numpy.ndarray[numpy.float32]], int], arg1: dolfinx::fem::Form<float>, arg2: List[dolfinx::fem::DirichletBC<float>]) -> None

Experimental assembly with Python insertion function. This will be slow. Use for testing only.

  1. assemble_matrix(arg0: dolfinx::la::MatrixCSR<std::complex<double>, std::allocator<std::complex<double> > >, arg1: dolfinx::fem::Form<std::complex<double> >, arg2: numpy.ndarray[numpy.complex128], arg3: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.complex128]], arg4: List[dolfinx::fem::DirichletBC<std::complex<double> >]) -> None

Experimental.

  1. assemble_matrix(arg0: Callable[[numpy.ndarray[numpy.int32], numpy.ndarray[numpy.int32], numpy.ndarray[numpy.complex128]], int], arg1: dolfinx::fem::Form<std::complex<double> >, arg2: List[dolfinx::fem::DirichletBC<std::complex<double> >]) -> None

Experimental assembly with Python insertion function. This will be slow. Use for testing only.

dolfinx.cpp.fem.assemble_scalar(*args, **kwargs)

Overloaded function.

  1. assemble_scalar(M: dolfinx::fem::Form<double>, constants: numpy.ndarray[numpy.float64], coefficients: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float64]]) -> float

Assemble functional over mesh with provided constants and coefficients

  1. assemble_scalar(M: dolfinx::fem::Form<float>, constants: numpy.ndarray[numpy.float32], coefficients: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float32]]) -> float

Assemble functional over mesh with provided constants and coefficients

  1. assemble_scalar(M: dolfinx::fem::Form<std::complex<double> >, constants: numpy.ndarray[numpy.complex128], coefficients: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.complex128]]) -> complex

Assemble functional over mesh with provided constants and coefficients

dolfinx.cpp.fem.assemble_vector(*args, **kwargs)

Overloaded function.

  1. assemble_vector(b: numpy.ndarray[numpy.float64], L: dolfinx::fem::Form<double>, constants: numpy.ndarray[numpy.float64], coeffs: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float64]]) -> None

Assemble linear form into an existing vector with pre-packed constants and coefficients

  1. assemble_vector(b: numpy.ndarray[numpy.float32], L: dolfinx::fem::Form<float>, constants: numpy.ndarray[numpy.float32], coeffs: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float32]]) -> None

Assemble linear form into an existing vector with pre-packed constants and coefficients

  1. assemble_vector(b: numpy.ndarray[numpy.complex128], L: dolfinx::fem::Form<std::complex<double> >, constants: numpy.ndarray[numpy.complex128], coeffs: Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.complex128]]) -> None

Assemble linear form into an existing vector with pre-packed constants and coefficients

dolfinx.cpp.fem.build_dofmap(arg0: MPICommWrapper, arg1: dolfinx.cpp.mesh.Topology, arg2: dolfinx::fem::ElementDofLayout) → Tuple[dolfinx.cpp.common.IndexMap, int, dolfinx.cpp.graph.AdjacencyList_int32]

Build and dofmap on a mesh.

dolfinx.cpp.fem.create_dofmap(arg0: MPICommWrapper, arg1: int, arg2: dolfinx.cpp.mesh.Topology, arg3: dolfinx::fem::FiniteElement) → dolfinx::fem::DofMap

Create DofMap object from a pointer to ufcx_dofmap.

dolfinx.cpp.fem.create_element_dof_layout(arg0: int, arg1: dolfinx.cpp.mesh.CellType, arg2: List[int]) → dolfinx::fem::ElementDofLayout

Create ElementDofLayout object from a ufc dofmap.

dolfinx.cpp.fem.create_expression_complex128(arg0: int, arg1: List[dolfinx.cpp.fem.Function_complex128], arg2: List[dolfinx.cpp.fem.Constant_complex128], arg3: dolfinx.cpp.mesh.Mesh, arg4: dolfinx::fem::FunctionSpace) → dolfinx.cpp.fem.Expression_complex128

Create Form from a pointer to ufc_form.

dolfinx.cpp.fem.create_expression_complex64(arg0: int, arg1: List[dolfinx.cpp.fem.Function_complex64], arg2: List[dolfinx.cpp.fem.Constant_complex64], arg3: dolfinx.cpp.mesh.Mesh, arg4: dolfinx::fem::FunctionSpace) → dolfinx.cpp.fem.Expression_complex64

Create Form from a pointer to ufc_form.

dolfinx.cpp.fem.create_expression_float32(arg0: int, arg1: List[dolfinx.cpp.fem.Function_float32], arg2: List[dolfinx.cpp.fem.Constant_float32], arg3: dolfinx.cpp.mesh.Mesh, arg4: dolfinx::fem::FunctionSpace) → dolfinx.cpp.fem.Expression_float32

Create Form from a pointer to ufc_form.

dolfinx.cpp.fem.create_expression_float64(arg0: int, arg1: List[dolfinx.cpp.fem.Function_float64], arg2: List[dolfinx.cpp.fem.Constant_float64], arg3: dolfinx.cpp.mesh.Mesh, arg4: dolfinx::fem::FunctionSpace) → dolfinx.cpp.fem.Expression_float64

Create Form from a pointer to ufc_form.

dolfinx.cpp.fem.create_form_complex128(arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_complex128], arg3: List[dolfinx.cpp.fem.Constant_complex128], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) → dolfinx.cpp.fem.Form_complex128

Create Form from a pointer to ufcx_form.

dolfinx.cpp.fem.create_form_complex64(arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_complex64], arg3: List[dolfinx.cpp.fem.Constant_complex64], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) → dolfinx.cpp.fem.Form_complex64

Create Form from a pointer to ufcx_form.

dolfinx.cpp.fem.create_form_float32(arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_float32], arg3: List[dolfinx.cpp.fem.Constant_float32], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) → dolfinx.cpp.fem.Form_float32

Create Form from a pointer to ufcx_form.

dolfinx.cpp.fem.create_form_float64(arg0: int, arg1: List[dolfinx::fem::FunctionSpace], arg2: List[dolfinx.cpp.fem.Function_float64], arg3: List[dolfinx.cpp.fem.Constant_float64], arg4: Dict[dolfinx::fem::IntegralType, dolfinx.cpp.mesh.MeshTags_int32], arg5: dolfinx.cpp.mesh.Mesh) → dolfinx.cpp.fem.Form_float64

Create Form from a pointer to ufcx_form.

dolfinx.cpp.fem.create_sparsity_pattern(arg0: dolfinx.cpp.mesh.Topology, arg1: List[dolfinx::fem::DofMap], arg2: Set[dolfinx::fem::IntegralType]) → dolfinx::la::SparsityPattern

Create a sparsity pattern.

dolfinx.cpp.fem.insert_diagonal(*args, **kwargs)

Overloaded function.

  1. insert_diagonal(arg0: dolfinx::la::MatrixCSR<double, std::allocator<double> >, arg1: dolfinx::fem::FunctionSpace, arg2: List[dolfinx::fem::DirichletBC<double>], arg3: float) -> None

  2. insert_diagonal(arg0: dolfinx::la::MatrixCSR<float, std::allocator<float> >, arg1: dolfinx::fem::FunctionSpace, arg2: List[dolfinx::fem::DirichletBC<float>], arg3: float) -> None

  3. insert_diagonal(arg0: dolfinx::la::MatrixCSR<std::complex<double>, std::allocator<std::complex<double> > >, arg1: dolfinx::fem::FunctionSpace, arg2: List[dolfinx::fem::DirichletBC<std::complex<double> >], arg3: complex) -> None

dolfinx.cpp.fem.locate_dofs_geometrical(*args, **kwargs)

Overloaded function.

  1. locate_dofs_geometrical(V: List[dolfinx::fem::FunctionSpace], marker: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[bool]]) -> List[numpy.ndarray[2]]

  2. locate_dofs_geometrical(V: dolfinx::fem::FunctionSpace, marker: Callable[[numpy.ndarray[numpy.float64]], numpy.ndarray[bool]]) -> numpy.ndarray[numpy.int32]

dolfinx.cpp.fem.locate_dofs_topological(*args, **kwargs)

Overloaded function.

  1. locate_dofs_topological(V: List[dolfinx::fem::FunctionSpace], dim: int, entities: numpy.ndarray[numpy.int32], remote: bool = True) -> List[numpy.ndarray[2]]

  2. locate_dofs_topological(V: dolfinx::fem::FunctionSpace, dim: int, entities: numpy.ndarray[numpy.int32], remote: bool = True) -> numpy.ndarray[numpy.int32]

dolfinx.cpp.fem.pack_coefficients(*args, **kwargs)

Overloaded function.

  1. pack_coefficients(arg0: dolfinx::fem::Form<double>) -> Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float64]]

Pack coefficients for a Form.

  1. pack_coefficients(arg0: dolfinx::fem::Form<float>) -> Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.float32]]

Pack coefficients for a Form.

  1. pack_coefficients(arg0: dolfinx::fem::Form<std::complex<double> >) -> Dict[Tuple[dolfinx::fem::IntegralType, int], numpy.ndarray[numpy.complex128]]

Pack coefficients for a Form.

dolfinx.cpp.fem.pack_constants(*args, **kwargs)

Overloaded function.

  1. pack_constants(arg0: dolfinx::fem::Form<double>) -> numpy.ndarray[numpy.float64]

Pack constants for a Form.

  1. pack_constants(arg0: dolfinx::fem::Expression<double>) -> numpy.ndarray[numpy.float64]

Pack constants for an Expression.

  1. pack_constants(arg0: dolfinx::fem::Form<float>) -> numpy.ndarray[numpy.float32]

Pack constants for a Form.

  1. pack_constants(arg0: dolfinx::fem::Expression<float>) -> numpy.ndarray[numpy.float32]

Pack constants for an Expression.

  1. pack_constants(arg0: dolfinx::fem::Form<std::complex<double> >) -> numpy.ndarray[numpy.complex128]

Pack constants for a Form.

  1. pack_constants(arg0: dolfinx::fem::Expression<std::complex<double> >) -> numpy.ndarray[numpy.complex128]

Pack constants for an Expression.

dolfinx.cpp.fem.set_bc(*args, **kwargs)

Overloaded function.

  1. set_bc(b: numpy.ndarray[numpy.float64], bcs: List[dolfinx::fem::DirichletBC<double>], x0: numpy.ndarray[numpy.float64] = None, scale: float = 1.0) -> None

  2. set_bc(b: numpy.ndarray[numpy.float32], bcs: List[dolfinx::fem::DirichletBC<float>], x0: numpy.ndarray[numpy.float32] = None, scale: float = 1.0) -> None

  3. set_bc(b: numpy.ndarray[numpy.complex128], bcs: List[dolfinx::fem::DirichletBC<std::complex<double> >], x0: numpy.ndarray[numpy.complex128] = None, scale: float = 1.0) -> None

dolfinx.cpp.fem.transpose_dofmap(arg0: dolfinx.cpp.graph.AdjacencyList_int32, arg1: int) → dolfinx.cpp.graph.AdjacencyList_int32

Build the index to (cell, local index) map from a dofmap ((cell, local index ) -> index).