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Abbreviated names | MTW |
Orders | \(k=3\) |
Reference elements | triangle, tetrahedron |
Polynomial set | \(\mathcal{Z}^{(18)}_{k}\) (triangle) \(\mathcal{P}_{k}^d \oplus \mathcal{Z}^{(19)}_{k}\) (tetrahedron) ↓ Show polynomial set definitions ↓ |
DOFs | On each facet (triangle): normal integral moments with an order \(1\) Lagrange space, and tangent integral moments with an order \(0\) Lagrange space On each facet (tetrahedron): normal integral moments with an order \(1\) Lagrange space, and integral moments with an order \(1\) Nédélec (first kind) space |
Number of DOFs | triangle: \(9\) tetrahedron: \(24\) |
Mapping | contravariant Piola |
continuity | Components normal to facets are continuous |
Categories | Vector-valued elements, H(div) conforming elements |
FIAT | FIAT.MardalTaiWinther ↓ Show FIAT examples ↓ This implementation is incorrect for this element. |
Symfem | "MTW" ↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
(legacy) UFL | "MTW" ↓ Show (legacy) UFL examples ↓ |
triangle order 3 | ![]() (click to view basis functions) |
tetrahedron order 3 | ![]() (click to view basis functions) |
Element added | 09 January 2021 |
Element last updated | 16 September 2023 |