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Bubble enriched Lagrange
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| Degrees | \(1\leqslant k\leqslant 2\) where \(k\) is the Polynomial subdegree |
| Polynomial subdegree | \(k\) |
| Polynomial superdegree | \(k+2\) |
| Reference elements | triangle |
| Polynomial set | \(\mathcal{P}_{k} \oplus \mathcal{Z}^{(11)}_{k+2}\) ↓ 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 |
Implementations
This element is implemented in Symfem .↓ Show implementation detail ↓Examples
| triangle degree 1 |  (click to view basis functions) |
| triangle degree 2 |  (click to view basis functions) |
DefElement stats
| Element added | 02 March 2021 |
| Element last updated | 27 September 2024 |