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Alternative names | discontinuous Taylor |
Orders | \(0\leqslant k\) |
Reference elements | interval, triangle, tetrahedron |
Polynomial set | \(\mathcal{P}_{k}\) ↓ Show polynomial set definitions ↓ |
DOFs | On the interior of the reference element: integral over cell, and point evaluations at midpoint of derivatives up to order \(k\) |
Number of DOFs | interval: \(k+1\) (A000027) triangle: \((k+1)(k+2)/2\) (A000217) tetrahedron: \((k+1)(k+2)(k+3)/6\) (A000292) |
Mapping | identity |
continuity | Function values are continuous. |
Categories | Scalar-valued elements |
FIAT | FIAT.DiscontinuousTaylor ↓ Show FIAT examples ↓ This implementation is correct for all the examples below. |
Symfem | "Taylor" ↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
(legacy) UFL | "TDG" ↓ Show (legacy) 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) |
triangle order 1 | (click to view basis functions) |
triangle order 2 | (click to view basis functions) |
triangle order 3 | (click to view basis functions) |
Element added | 01 March 2021 |
Element last updated | 16 September 2023 |