symfem.elements.conforming_crouzeix_raviart

Conforming Crouzeix-Raviart elements on simplices.

This element’s definition appears in https://doi.org/10.1051/m2an/197307R300331 (Crouzeix, Raviart, 1973)

Classes

ConformingCrouzeixRaviart

Conforming Crouzeix-Raviart finite element.

Module Contents

class symfem.elements.conforming_crouzeix_raviart.ConformingCrouzeixRaviart(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Conforming Crouzeix-Raviart finite element.

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 = ['conforming Crouzeix-Raviart', 'conforming CR']

references = ['triangle']

min_order = 1

continuity = 'L2'

value_type = 'scalar'

last_updated = '2025.12'