symfem.elements.serendipity
¶
Serendipity elements on tensor product cells.
This element’s definition appears in https://doi.org/10.1007/s10208-011-9087-3 (Arnold, Awanou, 2011)
Module Contents¶
Classes¶
A serendipity element. |
|
A serendipity Hcurl element. |
|
A serendipity Hdiv element. |
- class symfem.elements.serendipity.Serendipity(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')¶
Bases:
symfem.finite_element.CiarletElement
A serendipity element.
- names = ['serendipity', 'S']¶
- references = ['interval', 'quadrilateral', 'hexahedron']¶
- min_order = 1¶
- continuity = 'C0'¶
- last_updated = '2023.06'¶
- init_kwargs() Dict[str, Any] ¶
Return the kwargs used to create this element.
- Returns:
Keyword argument dictionary
- class symfem.elements.serendipity.SerendipityCurl(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')¶
Bases:
symfem.finite_element.CiarletElement
A serendipity Hcurl element.
- names = ['serendipity Hcurl', 'Scurl', 'BDMCE', 'AAE']¶
- references = ['quadrilateral', 'hexahedron']¶
- min_order = 1¶
- continuity = 'H(curl)'¶
- last_updated = '2023.07'¶
- init_kwargs() Dict[str, Any] ¶
Return the kwargs used to create this element.
- Returns:
Keyword argument dictionary
- class symfem.elements.serendipity.SerendipityDiv(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')¶
Bases:
symfem.finite_element.CiarletElement
A serendipity Hdiv element.
- names = ['serendipity Hdiv', 'Sdiv', 'BDMCF', 'AAF']¶
- references = ['quadrilateral', 'hexahedron']¶
- min_order = 1¶
- continuity = 'H(div)'¶
- last_updated = '2023.07'¶
- init_kwargs() Dict[str, Any] ¶
Return the kwargs used to create this element.
- Returns:
Keyword argument dictionary