Adaptive Morley element algorithms for the biharmonic eigenvalue problem

Journal of Inequalities and Applications

Table 4 The smallest eigenvalue solved by Algorithm 1 and Algorithm 2

l	\(N_{\mathrm{dof}}\)	\(h_{l}\)	\(\lambda_{1,h_{l}}\)	CPU(s)	\(N_{\mathrm{dof}}\)	\(h_{l}\)	\(\lambda_{1,h_{l}}^{R}\)	CPU(s)
1	54,896	0.108	7547.686	8.25	54,896	0.108	7547.686	9.71
2	57,176	0.108	7612.980	16.5	57,176	0.108	7613.142	13.0
3	60,822	0.108	7678.863	25.6	60,822	0.108	7678.902	16.7
4	67,192	0.108	7736.644	35.1	67,192	0.108	7736.699	20.9
5	76,278	0.108	7802.128	46.5	76,316	0.108	7802.062	25.8
6	86,838	0.108	7871.038	58.6	86,905	0.108	7872.137	31.2
7	101,261	0.108	7949.987	73.8	101,368	0.108	7950.349	38.4
8	121,408	0.108	8001.974	92.4	121,563	0.108	8002.931	47.3
9	146,456	0.108	8041.421	118	146,215	0.108	8040.738	58.1
10	180,528	0.108	8082.211	155	180,203	0.108	8082.247	72.3
11	224,755	0.108	8108.734	211	224,288	0.108	8108.530	92.1
12	282,583	0.108	8141.177	295	281,953	0.108	8141.009	119
13	355,133	0.108	8174.424	414	354,598	0.108	8174.437	156
14	451,162	0.108	8199.573	583	450,739	0.108	8199.502	205
15	561,904	0.108	8220.566	847	561,090	0.108	8220.433	269
16	693,222	0.108	8240.310	2368	691,963	0.108	8240.129	354
17	863,420	0.108	8258.156	9957	861,795	0.108	8258.042	469
18	–	–	–	–	1,084,848	0.108	8272.888	624
19	–	–	–	–	1,357,830	0.108	8281.060	851
20	–	–	–	–	1,730,050	0.108	8290.011	1206