an encyclopedia of finite element definitions

Argyris

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Orders\(k=5\)
Reference elementstriangle
Polynomial set\(\mathcal{P}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each vertex: point evaluations,
point evaluations of derivatives in coordinate directions, and point evaluations of components of Jacobian
On each edge: point evaluations of normal derivatives at midpoints
Number of DOFstriangle: \(21\)
Mappingidentity
continuityFunction values and first and second derivatives are continuous.
CategoriesScalar-valued elements

Implementations

FIATFIAT.Argyris
↓ Show FIAT examples ↓ This implementation is correct for all the examples below.
Symfem"Argyris"
↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations.
(legacy) UFL"Argyris"
↓ Show (legacy) UFL examples ↓

Examples

triangle
order 5

(click to view basis functions)

References

DefElement stats

Element added09 January 2021
Element last updated03 January 2024