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Alternative names | Rao–Wilton–Glisson, Nédélec (first kind) H(div) |
De Rham complex families | \(\left[S_{2,k}^\unicode{0x25FA}\right]_{d-1}\) / \(\mathcal{P}^-_{k}\Lambda^{d-1}(\Delta_d)\) |
Abbreviated names | RT, RWG |
Orders | \(1\leqslant k\) |
Reference elements | triangle, tetrahedron |
Polynomial set | \(\mathcal{P}_{k-1}^d \oplus \mathcal{Z}^{(25)}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On each facet: normal integral moments with an order \(k-1\) Lagrange space On the interior of the reference element: integral moments with an order \(k-2\) vector Lagrange space |
Number of DOFs | triangle: \(k(k+2)\) (A005563) tetrahedron: \(k(k+1)(k+3)/2\) (A077414) |
Mapping | contravariant Piola |
continuity | Components normal to facets are continuous |
Categories | Vector-valued elements, H(div) conforming elements |
Basix | basix.ElementFamily.RT ↓ Show Basix examples ↓ |
Bempp | "RWG" (triangle)↓ Show Bempp examples ↓ |
Symfem | "N1div" ↓ Show Symfem examples ↓ |
UFL | "RT" ↓ Show UFL examples ↓ |
triangle order 1 | ![]() (click to view basis functions) |
triangle order 2 | ![]() (click to view basis functions) |
tetrahedron order 1 | ![]() (click to view basis functions) |
tetrahedron order 2 | ![]() (click to view basis functions) |
Element added | 30 December 2020 |
Element last updated | 27 May 2023 |