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) and https://doi.org/10.1007/978-1-4612-3172-1 (Brezzi, Fortin, 1991)

Classes¶

Brezzi-Douglas-Fortin-Marini Hdiv finite element.

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:

Returns:

The polynomial basis

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

Brezzi-Douglas-Fortin-Marini Hdiv finite element.

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.