symfem.elements.aw

Arnold-Winther elements on simplices.

Thse elements definitions appear in https://doi.org/10.1007/s002110100348 (Arnold, Winther, 2002) [conforming] and https://doi.org/10.1142/S0218202503002507 (Arnold, Winther, 2003) [nonconforming]

Module Contents

Classes

ArnoldWinther	An Arnold-Winther element.
NonConformingArnoldWinther	A nonconforming Arnold-Winther element.

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

Bases: symfem.finite_element.CiarletElement

An Arnold-Winther element.

names = ['Arnold-Winther', 'AW', 'conforming Arnold-Winther']

references = ['triangle']

min_order = 3

continuity = 'integral inner H(div)'

last_updated = '2023.05'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

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

Bases: symfem.finite_element.CiarletElement

A nonconforming Arnold-Winther element.

names = ['nonconforming Arnold-Winther', 'nonconforming AW']

references = ['triangle']

min_order = 2

max_order = 2

continuity = 'integral inner H(div)'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary