symfem.elements.vector_enriched_galerkin¶

Enriched vector Galerkin elements.

This element’s definition appears in https://doi.org/10.1016/j.camwa.2022.06.018 (Yi, Hu, Lee, Adler, 2022)

Classes¶

`Enrichment`	An LF enriched Galerkin element.
`VectorEnrichedGalerkin`	An LF enriched Galerkin element.

Module Contents¶

class symfem.elements.vector_enriched_galerkin.Enrichment(reference: symfem.references.Reference)¶

Bases: symfem.finite_element.CiarletElement

An LF 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: list[str] = []¶

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

min_order = 1¶

max_order = 1¶

continuity = 'C0'¶

value_type = 'vector'¶

last_updated = '2025.12'¶

class symfem.elements.vector_enriched_galerkin.VectorEnrichedGalerkin(reference: symfem.references.Reference, order: int)¶

Bases: symfem.finite_element.EnrichedElement