an encyclopedia of finite element definitions

Nonconforming Arnold–Winther

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Orders\(k=2\)
Reference elementstriangle
Polynomial set\(\mathcal{Z}^{(39)}_{k-1}\)
↓ Show polynomial set definitions ↓
DOFsOn each edge: integral moments of normal-normal and normal-tangent inner products with an order \(1\) Lagrange space
On each face: integral moments of three components with an order \(0\) Lagrange space
Number of DOFstriangle: \(15\)
CategoriesMatrix-valued elements

Implementations

Symfem"nonconforming AW"
↓ Show Symfem examples ↓
UFL"AWnc"
↓ Show UFL examples ↓

Examples

triangle
order 2

(click to view basis functions)

References

DefElement stats

Element added02 August 2021
Element last updated02 August 2022