an encyclopedia of finite element definitions
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Orders | \(0\leqslant k\) |
Reference elements | triangle |
Polynomial set | \(\mathcal{Z}^{(2)}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On each edge: integral moments of inner products of normal to edge with an order \(k\) Lagrange space On each face: point evaluations of tensor products with symmetric matrices whose entries are in (lagrange,k-1) |
Number of DOFs | triangle: \(3(k+1)(k+2)/2\) (A045943) |
Mapping | double contravariant Piola |
continuity | Inner products with normals to facets are continuous |
Categories | Matrix-valued elements |
Symfem | "HHJ" ↓ Show Symfem examples ↓ |
UFL | "HHJ" ↓ Show UFL examples ↓ |
triangle order 1 | ![]() (click to view basis functions) |
triangle order 2 | ![]() (click to view basis functions) |
Element added | 06 February 2021 |
Element last updated | 02 August 2022 |