an encyclopedia of finite element definitions
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Orders | \(k=5\) |
Reference elements | triangle |
Polynomial set | \(\mathcal{P}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On 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 DOFs | triangle: \(21\) |
Mapping | identity |
continuity | Function values and first and second derivatives are continuous. |
Categories | Scalar-valued elements |
FIAT | FIAT.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 ↓ |
triangle order 5 | (click to view basis functions) |
Element added | 09 January 2021 |
Element last updated | 03 January 2024 |