A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems

Table 2

Errors and DOF of hp-SEM for the first eigenvalue.

𝑁	ℎ=1/2		ℎ=1/4		ℎ=1/8		ℎ=1/16
	Error	DOF	Error	DOF	Error	DOF	Error	DOF
2	5.18𝐸+00	9	2.54𝐸−01	49	1.50𝐸−02	225	9.00𝐸−04	961
3	7.00𝐸−03	25	6.10𝐸−04	121	1.20𝐸−05	529	1.90𝐸−07	2209
4	8.40𝐸−03	49	2.60𝐸−05	225	9.70𝐸−08	961	3.70𝐸−10	3969
5	1.64𝐸−04	81	1.60𝐸−07	361	1.50𝐸−10	1521	1.30𝐸−13	6241
6	4.10𝐸−07	121	2.30𝐸−11	529	9.90𝐸−13	2209	3.60𝐸−12	9025
7	3.10𝐸−08	169	1.70𝐸−12	729	3.10𝐸−13	3025	1.60𝐸−12	12321
8	1.90𝐸−10	225	1.90𝐸−13	961	2.10𝐸−12	3969	4.80𝐸−12	16129
9	5.50𝐸−13	289	2.80𝐸−14	1225	6.00𝐸−13	5041	1.10𝐸−12	20449
10	3.80𝐸−13	361	1.10𝐸−12	1521	4.40𝐸−12	6241	1.50𝐸−11	25281