symfem.elements.bfs

Bogner-Fox-Schmit elements on tensor products.

This element’s definition appears in http://contrails.iit.edu/reports/8569 (Bogner, Fox, Schmit, 1966)

Classes

BognerFoxSchmit

Bogner-Fox-Schmit finite element.

Module Contents

class symfem.elements.bfs.BognerFoxSchmit(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Bogner-Fox-Schmit finite 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 = ['Bogner-Fox-Schmit', 'BFS']

references = ['quadrilateral']

min_order = 3

max_order = 3

continuity = 'C0'

value_type = 'scalar'

last_updated = '2023.05'