symfem.elements.transition

Transition elements on simplices.

Classes

Transition

Transition finite element.

Module Contents

class symfem.elements.transition.Transition(reference: symfem.references.Reference, order: int, edge_orders: list[int] | None = None, face_orders: list[int] | None = None, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Transition finite element.

variant = 'equispaced'

face_orders = None

edge_orders = None

init_kwargs() → dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

property lagrange_subdegree: int

Get the Lagrange subdegree of the element.

This is the degree of the highest degree Lagrange space whose polynomial space is a subspace of this element’s polynomial space.

property lagrange_superdegree: int | None

Get the Lagrange superdegree of the element.

This is the degree of the highest degree Lagrange space whose polynomial space is a superspace of this element’s polynomial space.

property polynomial_subdegree: int

Get the polynomial subdegree of the element.

This is the degree of the highest degree complete polynomial space that is a subspace of this element’s polynomial space.

property polynomial_superdegree: int | None

Get the polynomial superdegree of the element.

This is the degree of the highest degree complete polynomial space that is a superspace of this element’s polynomial space.

names = ['transition']

references = ['triangle', 'tetrahedron']

min_order = 1

continuity = 'C0'

value_type = 'scalar'

last_updated = '2025.12'