an encyclopedia of finite element definitions
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Orders | \(1\leqslant k\leqslant 2\) |
Reference elements | triangle |
Polynomial set | \(\mathcal{P}_{k} \oplus \mathcal{Z}^{(10)}_{k+2}\) ↓ Show polynomial set definitions ↓ |
DOFs | On each vertex: point evaluations On each edge: point evaluations On each face: point evaluations |
Number of DOFs | triangle: \((k+1)^2\) (A000290) |
Mapping | identity |
continuity | Function values are continuous. |
Categories | Scalar-valued elements |
Symfem | "bubble enriched Lagrange" ↓ Show Symfem examples ↓ |
triangle order 1 | ![]() (click to view basis functions) |
triangle order 2 | ![]() (click to view basis functions) |
Element added | 02 March 2021 |
Element last updated | 02 August 2022 |