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P1 macro
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| De Rham complex families | \(\mathrm{C}^0\mathrm{P}^1\mathrm{\Lambda}^2(\mathcal{R})\) |
| Orders | \(k=1\) |
| Reference elements | 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
"P1 macro"↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
Examples
| triangle order 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 | 16 September 2023 |