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Crouzeix–Falk
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| Abbreviated names | CF |
| Orders | \(k=3\) |
| Reference elements | triangle |
| Polynomial set | \(\mathcal{P}_{k}\) ↓ Show polynomial set definitions ↓ |
| DOFs | On each facet: point evaluation at three points On the interior of the reference element: point evaluation at midpoint |
| Number of DOFs | triangle: \(10\) |
| Mapping | identity |
| continuity | Discontinuous. |
| Categories | Scalar-valued elements |
Implementations
"Crouzeix-Falk"↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
Examples
| triangle order 3 |  (click to view basis functions) |
References
- Crouzeix, Michel and Falk, Richard S. Nonconforming finite elements for the Stokes problem, Mathematics of Computation 52, 437–456, 1989. [DOI: 10.2307/2008475] [BibTeX]
DefElement stats
| Element added | 06 March 2021 |
| Element last updated | 16 September 2023 |