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P1 macro
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| De Rham complex families | \(\mathrm{C}^0\mathrm{P}^1\mathrm{\Lambda}^2(\mathcal{R})\) |
| Degrees | \(k=1\) |
| Reference cells | triangle |
| DOFs | On each vertex: point evaluations On each face: integral of function value |
| Number of DOFs | triangle: \(4\) |
| Number of DOFs on subentities | vertices: \(1\) edges: \(0\) faces: \(1\) |
| Mapping | identity |
| continuity | Function values are continuous. |
| Categories | Scalar-valued elements, Macro elements |
Implementations
This element is implemented in Symfem .↓ Show implementation detail ↓Examples
| triangle degree 1 |  (click to view basis functions) |
References
- Christansen, Snorre H. and Hu, Kaibo. Generalized Finite Element Systems for smooth differential forms and Stokes' problem, Numerische Mathematik 140, 327–371, 2018. [DOI: 10.1007/s00211-018-0970-6] [BibTeX]
DefElement stats
| Element added | 01 June 2023 |
| Element last updated | 04 June 2025 |