A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems

Table 1

The results on the square by Scheme 1 (Mini element) for Stokes eigenvalue problem.

𝑘	𝐻	ℎ	𝜆𝑘,𝐻	𝜆𝑘,ℎ	𝜆^ℎ𝑘
1	√28	√264	57.50602342019	52.42255785241	52.42147553267
1	√210	√2100	55.61324143591	52.37622690147	52.37604993774
1	√212	√2144	54.59828590012	52.35983048690	52.35978975974
2	√28	√264	103.5158846668	92.30714521284	92.29553836981
2	√210	√2100	99.36963738012	92.19619098643	92.19429134425
2	√212	√2144	97.12904494102	92.15848299868	92.15804753694
3	√28	√264	110.7048253409	92.43050152401	92.39531304531
3	√210	√2100	103.8058661064	92.24032470162	92.23510195554
3	√212	√2144	100.1402638604	92.17887213187	92.17771885852
4	√28	√264	159.7476076282	128.8864896622	128.7085892117
4	√210	√2100	148.7986378758	128.4767873556	128.4133574197
4	√212	√2144	142.5976379771	128.3089668708	128.3076834410