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Alternative names | discontinuous polynomial cubical |
Exterior calculus names | \(\mathcal{S}_{k}\Lambda^{d}(\square_d)\), \(\mathcal{S}^-_{k}\Lambda^{d}(\square_d)\) |
Cockburn–fu names | \(\left[S_{1,k}^\square\right]_{d}\), \(\left[S_{2,k}^\square\right]_{d}\) |
Orders | \(0\leqslant k\) |
Reference elements | interval, quadrilateral, hexahedron |
Polynomial set | \(\mathcal{P}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On the interior of the reference element: point evaluations |
Number of DOFs | interval: \(k+1\) (A000027) quadrilateral: \((k+1)(k+2)/2\) (A000217) hexahedron: \((k+1)(k+2)(k+3)/6\) (A000292) |
Mapping | identity |
continuity | Discontinuous. |
Categories | Scalar-valued elements |
Basix | basix.ElementFamily.DPC (quadrilateral, hexahedron)↓ Show Basix examples ↓ |
Symfem | "dPc" ↓ Show Symfem examples ↓ |
UFL | "DPC" ↓ Show UFL examples ↓ |
interval order 1 | ![]() (click to view basis functions) |
interval order 2 | ![]() (click to view basis functions) |
interval order 3 | ![]() (click to view basis functions) |
quadrilateral order 1 | ![]() (click to view basis functions) |
quadrilateral order 2 | ![]() (click to view basis functions) |
quadrilateral order 3 | ![]() (click to view basis functions) |
Element added | 01 March 2021 |
Element last updated | 02 August 2022 |