symfem.elements.alfeld_sorokina

Alfeld-Sorokina element on a triangle.

This element’s definition appears in https://doi.org/10.1007/s10543-015-0557-x (Alfeld, Sorokina, 2015)

Classes

AlfeldSorokina

Alfeld-Sorokina finite element.

Module Contents

class symfem.elements.alfeld_sorokina.AlfeldSorokina(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Alfeld-Sorokina finite element.

property lagrange_subdegree: int

Abstractmethod:

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

Abstractmethod:

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

Abstractmethod:

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

Abstractmethod:

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 = ['Alfeld-Sorokina', 'AS']

references = ['triangle']

min_order = 2

max_order = 2

continuity = 'C0'

value_type = 'scalar macro'

last_updated = '2025.12'