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Orders | \(0\leqslant k\) |
Reference elements | interval, quadrilateral, hexahedron |
Polynomial set | \(\mathcal{P}_{k}^d\) ↓ Show polynomial set definitions ↓ |
DOFs | On the interior of the reference element: point evaluations |
Number of DOFs | quadrilateral: \((k+1)(k+2)\) (A002378) hexahedron: \((k+1)(k+2)(k+3)/2\) (A027480) |
Mapping | identity |
continuity | Discontinuous. |
Categories | Scalar-valued elements |
Basix.UFL | basix.ElementFamily.DPC, discontinuous=True, dpc_variant=basix.DPCVariant.simplex_equispaced, shape=(dim,) ↓ Show Basix.UFL examples ↓ This implementation is correct for all the examples below. |
Symfem | "vector dPc" ↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
(legacy) UFL | "DPC" ↓ Show (legacy) UFL examples ↓ |
quadrilateral order 1 | (click to view basis functions) |
quadrilateral order 2 | (click to view basis functions) |
quadrilateral order 3 | (click to view basis functions) |
hexahedron order 1 | (click to view basis functions) |
hexahedron order 2 | (click to view basis functions) |
Element added | 30 March 2021 |
Element last updated | 29 September 2023 |