an encyclopedia of finite element definitions
Click here to read what the information on this page means.
Abbreviated names | BDDF |
Orders | \(1\leqslant k\) |
Reference elements | hexahedron |
Polynomial set | \(\mathcal{P}_{k}^d \oplus \mathcal{Z}^{(8)}_{k} \oplus \mathcal{Z}^{(9)}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On each facet: normal integral moments with an order \(k\) Lagrange space On the interior of the reference element: integral moments with an order \(k-2\) vector Lagrange space |
Number of DOFs | hexahedron: \((k+1)(k^2+5k+12)/2\) |
Mapping | contravariant Piola |
continuity | Components normal to facets are continuous |
Categories | Vector-valued elements, H(div) conforming elements |
Symfem | "BDDF" ↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
hexahedron order 1 | (click to view basis functions) |
hexahedron order 2 | (click to view basis functions) |
Element added | 31 January 2021 |
Element last updated | 16 September 2023 |