symfem.elements.enriched_galerkin

Enriched Galerkin elements.

This element’s definition appears in https://doi.org/10.1137/080722953 (Sun, Liu, 2009).

Classes

EnrichedGalerkin

An enriched Galerkin element.

Module Contents

class symfem.elements.enriched_galerkin.EnrichedGalerkin(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.EnrichedElement

An enriched Galerkin 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 = ['enriched Galerkin', 'EG']

references = ['interval', 'triangle', 'quadrilateral', 'tetrahedron', 'hexahedron']

min_order = 1

continuity = 'C0'

value_type = 'scalar'

last_updated = '2025.12'