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Vector 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 cells | triangle |
| Finite dimensional space | \(\mathcal{P}_{k}^d \oplus \left(\mathcal{Z}^{(11)}_{k+2}\right)^d\) ↓ Show set definitions ↓ |
| DOFs | On each vertex: point evaluations in coordinate directions On each edge: point evaluations in coordinate directions On each face: point evaluations in coordinate directions |
| Number of DOFs | triangle: \(2(k+1)^2\) (A001105) |
| Mapping | identity |
| continuity | Function values are continuous. |
| Categories | Vector-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 | 04 June 2025 |