an encyclopedia of finite element definitions

Direct serendipity

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Orders\(1\leqslant k\)
Reference elementsquadrilateral
Mappingidentity
continuityFunction values are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"direct serendipity"
↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations.
(legacy) UFL"Sdirect"
↓ Show (legacy) UFL examples ↓

Examples

quadrilateral
order 1

(click to view basis functions)
quadrilateral
order 2

(click to view basis functions)
quadrilateral
order 3

(click to view basis functions)

References

DefElement stats

Element added27 May 2021
Element last updated16 September 2023