k | Exact eigenvalue | Computed Eigenvalue Bernstein Poly. n = 15 | Finite Element 8L [32] | Finite Element 4Q [32] | Rel. Error Bernst. | Rel. Error FEM 8L [32] | Rel. Error FEM 4Q [32] |
1 | 9.8696 | 9.869604 | 9.9971 | 9.8747 | 4.459e-07 | 0.0129 | 5.167e-04 |
2 | 39.4784 | 39.478418 | 41.5466 | 39.7754 | 4.459e-07 | 0.0524 | 7.531e-03 |
3 | 88.8264 | 88.826440 | 99.4855 | 91.7847 | 4.459e-07 | 0.1200 | 3.332e-02 |
4 | 157.9137 | 157.913670 | 192.000 | 160.00 | 1.869e-07 | 0.2159 | 1.321e-02 |
5 | 246.7400 | 246.740147 | 328.291 | 308.253 | 4.564e-07 | 0.3305 | 2.493e-01 |
6 | 355.3060 | 355.306275 | 507.025 | 514.891 | 1.295e-05 | 0.4270 | 4.491e-01 |
7 | 483.6110 | 483.812088 | 686.512 | 794.794 | 6.617e-05 | 0.4196 | 6.434e-01 |