Spectral Method with the Tensor-Product Nodal Basis for the Steklov Eigenvalue Problem

Table 1

The eigenvalues of LGL spectral method.

𝑁	DOF	𝜆1	𝜆2	𝜆4
3	16	0.24007936507936	1.49252393896074	2.08264705882353
4	25	0.24007908542791	1.49230719085030	2.08264705882353
5	36	0.24007908542792	1.49230316584831	2.08264705403320
6	49	0.24007908542722	1.49230313468790	2.08264705403320
7	64	0.24007908542723	1.49230313453462	2.08264705403320
8	81	0.24007908542723	1.49230313453360	2.08264705403320
9	100	0.24007908542722	1.49230313453358	2.08264705403318
10	121	0.24007908542721	1.49230313453357	2.08264705403318
11	144	0.24007908542722	1.49230313453359	2.08264705403321
12	169	0.24007908542721	1.49230313453357	2.08264705403318
13	196	0.24007908542723	1.49230313453360	2.08264705403323
14	225	0.24007908542722	1.49230313453357	2.08264705403318
15	256	0.24007908542724	1.49230313453359	2.08264705403320
16	289	0.24007908542723	1.49230313453359	2.08264705403319
17	324	0.24007908542728	1.49230313453361	2.08264705403321
18	361	0.24007908542725	1.49230313453359	2.08264705403319
19	400	0.24007908542721	1.49230313453356	2.08264705403317
20	441	0.24007908542718	1.49230313453349	2.08264705403311
21	484	0.24007908542705	1.49230313453341	2.08264705403305
22	529	0.24007908542721	1.49230313453356	2.08264705403317
23	576	0.24007908542727	1.49230313453364	2.08264705403326
24	625	0.24007908542700	1.49230313453339	2.08264705403301
25	676	0.24007908542723	1.49230313453356	2.08264705403317
27	784	0.24007908542747	1.49230313453375	2.08264705403338
29	900	0.24007908542735	1.49230313453373	2.08264705403335
30	961	0.24007908542716	1.49230313453351	2.08264705403311
31	1024	0.24007908542735	1.49230313453364	2.08264705403327
34	1225	0.24007908542735	1.49230313453361	2.08264705403323