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