symfem.elements.gopalakrishnan_lederer_schoberl¶

Gopalakrishnan-Lederer-Schoberl elements on simplices.

This element’s definition appears in https://doi.org/10.34726/hss.2019.62042 (Lederer, 2019) and https://doi.org/10.1137/19M1248960 (Gopalakrishnan, Lederer, Schooberl, 2020).

Classes¶

A Gopalakrishnan-Lederer-Schoberl element on a simplex.

class symfem.elements.gopalakrishnan_lederer_schoberl.GopalakrishnanLedererSchoberl(reference: symfem.references.Reference, order: int)¶

A Gopalakrishnan-Lederer-Schoberl element on a simplex.

init_kwargs() → dict[str, Any]¶

Return the kwargs used to create this 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.