symfem.elements.direct_serendipity

Serendipity elements on tensor product cells.

This element’s definition appears in https://arxiv.org/abs/1809.02192 (Arbogast, Tao, 2018)

Classes

DirectSerendipity

A direct serendipity element.

Module Contents

class symfem.elements.direct_serendipity.DirectSerendipity(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.DirectElement

A direct serendipity 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 = ['direct serendipity']

references = ['quadrilateral']

min_order = 1

continuity = 'C0'

value_type = 'scalar non-polynomial'

last_updated = '2023.05'