mtnlion.cell module¶

Cell domain descriptions

class mtnlion.cell.DomainData[source]¶

Bases: tuple

Data required to minimally describe the problem domain.

boundary_measure¶: Alias for field number 2

domain_measure¶: Alias for field number 1

mesh¶: Alias for field number 0

class mtnlion.cell.DomainInterface(mesh_grid: numpy.ndarray)[source]¶

Bases: abc.ABC

Minimal interface for describing problem domains.

class BoundaryMap(primary_domain, marker)¶

Bases: tuple

marker¶: Alias for field number 1

primary_domain¶: Alias for field number 0

add_domain_measure(domain: str, measure: ufl.measure.Measure, multiple: int = 1) → None[source]¶

Set the domain measure and its multiplicity for a given domain.

Parameters

domain – The domain to assign
measure – The measure to apply to the domain
multiple – The multiplicity to apply to the domain measure

Returns

None

boundary_of(boundary_domain: str, primary_domains: Iterable[str], measures: Iterable[ufl.measure.Measure], multiples: Iterable[int]) → None[source]¶

Create a boundary domain that is the boundary of one or more primary domains and assign a boundary measure with its corresponding multiplicity.

Parameters

boundary_domain – name of the boundary domain
primary_domains – names of the domains this domain is a boundary of
measures – assign a boundary measure to the boundary domain
multiples – assign a multiplicity to the boundary measure

Returns

None

create_element(element_type: str, degree: int) → dolfin.FiniteElement[source]¶

Create a FEniCS finite element. See documentation for fem.FiniteElement.

Parameters

element_type – Type of the finite element.
degree – Degree of the element

Returns

fem.FiniteElement

create_function_space(element: dolfin.FiniteElement)[source]¶

Create a FEniCS function space given an element. See documentation for fem.FunctionSpace.

Parameters: element – Element to use to create a function space
Returns: fem.FunctionSpace

is_boundary(domain: str) → bool[source]¶

Deduce if a given domain is a boundary domain by whether or not is has parent domains defined.

Parameters: domain – name of the domain to check
Returns: true if domain is a boundary

class mtnlion.cell.MeasureMap[source]¶

Bases: tuple

A mapping between measures, multiplicities, and primary (parent) domains

measure¶: Alias for field number 0

multiple¶: Alias for field number 1

primary_domain¶: Alias for field number 2

class mtnlion.cell.P2D(mesh_grid: numpy.ndarray)[source]¶

Bases: mtnlion.cell.DomainInterface

Definition for a pseudo two-dimensional domain.