an encyclopedia of finite element definitions
Alfeld–Sorokina
Click here to read what the information on this page means.
| De Rham complex families | \(\mathrm{C}_d^0\mathrm{P}^2\mathrm{\Lambda}^1(\mathcal{R})\) |
| Orders | \(k=2\) |
| Reference elements | triangle |
| DOFs | On each vertex: point evaluations in coordinate directions, and point evaulations of divergence On each edge: points evaluations in coordinate directions |
| Number of DOFs | triangle: \(15\) |
| Number of DOFs on subentities | vertices: \(3\) edges: \(2\) faces: \(0\) |
| Mapping | identity |
| continuity | Function values are continuous. |
| Categories | Vector-valued elements, H(div) conforming elements, Macro elements |
Implementations
"Alfeld-Sorokina"↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
Examples
| triangle order 2 |  (click to view basis functions) |
References
- Alfeld, Peter and Sorokina, Tatyana. Linear differential operators on bivariate spline spaces and spline vector fields, BIT Numerical Mathematics 56, 15–32, 2016. [DOI: 10.1007/s10543-015-0557-x] [BibTeX]
DefElement stats
| Element added | 01 June 2023 |
| Element last updated | 16 September 2023 |