symfem.elements.rannacher_turek

Rannacher-Turek elements on tensor product cells.

This element’s definition appears in https://doi.org/10.1002/num.1690080202 (Rannacher, Turek, 1992)

Classes

RannacherTurek

Rannacher-Turek finite element.

Module Contents

class symfem.elements.rannacher_turek.RannacherTurek(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Rannacher-Turek finite element.

init_kwargs() → dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

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 = ['Rannacher-Turek']

references = ['quadrilateral', 'hexahedron']

min_order = 1

max_order = 1

continuity = 'L2'

value_type = 'scalar'

last_updated = '2023.05'