symfem.elements.lagrange_pyramid

Lagrange elements on a pyramid.

This element’s definition appears in https://doi.org/10.1007/s10915-009-9334-9 (Bergot, Cohen, Durufle, 2010)

Classes

Lagrange

Lagrange finite element.

Module Contents

class symfem.elements.lagrange_pyramid.Lagrange(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Lagrange finite element.

variant = 'equispaced'

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 = ['Lagrange', 'P']

references = ['pyramid']

min_order = 0

continuity = 'C0'

value_type = 'scalar'

last_updated = '2025.06'