Pyramid Rules
Quality markers:
P: positive weightsN: some negative weightsI: all quadrature points are strictly inside the reference elementB: some quadrature points lie on the boundaryO: some quadrature points lie outside the reference element
| Degree | Points | Accuracy | Quality | Orbits | Reference |
|---|---|---|---|---|---|
| 1 | 1 | 4.11e-33 | PI | [1, 0, 0, 0] | [JS21] |
| 1 | 1 | 4.11e-33 | PI | [1, 0, 0, 0] | [WV15] |
| 2 | 5 | 4.71e-33 | PI | [1, 1, 0, 0] | [WV15] |
| 2 | 5 | 4.98e-33 | PI | [1, 0, 1, 0] | [JS21] |
| 3 | 6 | 4.14e-33 | PI | [2, 0, 1, 0] | [WV15] |
| 3 | 6 | 6.95e-33 | PI | [2, 0, 1, 0] | [JS21] |
| 4 | 10 | 9.39e-33 | PI | [2, 1, 1, 0] | [JS21] |
| 4 | 10 | 9.39e-33 | PI | [2, 1, 1, 0] | [WV15] |
| 5 | 15 | 1.37e-32 | PI | [3, 1, 2, 0] | [WV15] |
| 5 | 15 | 9.08e-33 | PI | [3, 1, 2, 0] | [JS21] |
| 6 | 23 | 2.80e-32 | PI | [3, 2, 3, 0] | [JS21] |
| 6 | 24 | 1.87e-32 | PI | [4, 2, 3, 0] | [WV15] |
| 7 | 31 | 2.36e-32 | PI | [3, 2, 5, 0] | [JS21] |
| 7 | 31 | 3.58e-32 | PI | [3, 2, 5, 0] | [WV15] |
| 8 | 47 | 5.92e-32 | PI | [3, 4, 5, 1] | [JS21] |
| 8 | 47 | 6.72e-32 | PI | [3, 3, 6, 1] | [WV15] |
| 9 | 62 | 2.93e-32 | PI | [2, 4, 9, 1] | [WV15] |
| 9 | 62 | 4.85e-32 | PI | [2, 6, 5, 2] | [JS21] |
| 10 | 80 | 1.05e-31 | PI | [4, 6, 7, 3] | [JS21] |
| 10 | 83 | 8.25e-32 | PI | [3, 3, 9, 4] | [WV15] |
| 11 | 103 | 1.50e-31 | PI | [3, 8, 11, 3] | [JS21] |
| 12 | 127 | 2.26e-31 | PI | [3, 9, 12, 5] | [JS21] |
| 13 | 152 | 3.58e-31 | PI | [4, 8, 15, 7] | [JS21] |
| 14 | 184 | 4.63e-31 | PI | [4, 12, 17, 8] | [JS21] |
| 15 | 234 | 1.22e-30 | PI | [2, 13, 23, 11] | [JS21] |
| 16 | 285 | 2.38e-30 | PI | [1, 13, 22, 18] | [JS21] |
| 17 | 319 | 2.15e-30 | PI | [3, 13, 28, 19] | [JS21] |
| 18 | 357 | 5.16e-30 | PI | [1, 14, 31, 22] | [JS21] |
| 19 | 418 | 7.74e-30 | PI | [2, 17, 29, 29] | [JS21] |
| 20 | 489 | 6.23e-30 | PI | [1, 19, 31, 36] | [JS21] |