symfem.elements.trimmed_serendipity

Trimmed serendipity elements on tensor products.

These elements’ definitions appear in https://doi.org/10.1137/16M1073352 (Cockburn, Fu, 2017) and https://doi.org/10.1090/mcom/3354 (Gilette, Kloefkorn, 2018)

Module Contents

Classes

TrimmedSerendipityHcurl	Trimmed serendipity Hcurl finite element.
TrimmedSerendipityHdiv	Trimmed serendipity Hdiv finite element.

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

Bases: symfem.finite_element.CiarletElement

Trimmed serendipity Hcurl finite element.

names = ['trimmed serendipity Hcurl', 'TScurl']

references = ['quadrilateral', 'hexahedron']

min_order = 1

continuity = 'H(curl)'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

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

Bases: symfem.finite_element.CiarletElement

Trimmed serendipity Hdiv finite element.

names = ['trimmed serendipity Hdiv', 'TSdiv']

references = ['quadrilateral', 'hexahedron']

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