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

Table 2

The results on the square by Scheme 1 (𝑃₂-𝑃₁ element) for eigenvalue problem of electric field (𝑟=0).

𝑘	𝐻	ℎ	𝜆𝑘,𝐻	𝜆𝑘,ℎ	𝜆^ℎ𝑘
1	√24	√272	1.000489112	1.000000005	1.000000005
1	√26	√272	1.000099609	1.000000005	1.000000005
1	√28	√272	1.000031944	1.000000005	1.000000005
2	√24	√272	1.000490210	1.000000005	1.000000005
2	√26	√272	1.000099685	1.000000005	1.000000005
2	√28	√272	1.000031956	1.000000005	1.000000005
3	√24	√272	2.006497695	2.000000070	2.000000070
3	√26	√272	2.001365268	2.000000070	2.000000070
3	√28	√272	2.000442889	2.000000070	2.000000070
4	√24	√272	4.028293524	4.000000321	4.000000333
4	√26	√272	4.006078511	4.000000321	4.000000321
4	√28	√272	4.001988912	4.000000321	4.000000321