symfem.elements.bdfm

Brezzi-Douglas-Fortin-Marini elements.

This element’s definition appears in https://doi.org/10.1051/m2an/1987210405811 (Brezzi, Douglas, Fortin, Marini, 1987)

Module Contents

Classes

BDFM	Brezzi-Douglas-Fortin-Marini Hdiv finite element.

Functions

bdfm_polyset(→ List[symfem.functions.FunctionInput])

Create the polynomial basis for a BDFM element.

symfem.elements.bdfm.bdfm_polyset(reference: symfem.references.Reference, order: int) → List[symfem.functions.FunctionInput]

Create the polynomial basis for a BDFM element.

Parameters:

• reference – The reference cell

• order – The polynomial order

Returns:

The polynomial basis

class symfem.elements.bdfm.BDFM(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Brezzi-Douglas-Fortin-Marini Hdiv finite element.

names = ['Brezzi-Douglas-Fortin-Marini', 'BDFM']

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

min_order = 1

continuity = 'H(div)'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary