Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality

Table 2

The error estimates for nonconforming FE scheme.

ℎ	1/2	1/4	1/8	1/16	1/32	1/64
Π^2ℎ𝑢−𝑢ℎℎ	1.1264𝐸−01	4.6572𝐸−02	1.8679𝐸−02	8.0004𝐸−03	3.1977𝐸−03	1.3906𝐸−03
order	/	1.5552	1.5790	1.5280	1.5817	1.5164
𝑢−Π^22ℎ𝑢ℎℎ	8.1523𝐸−02	3.1059𝐸−02	1.0260𝐸−02	3.1725𝐸−03	9.4359𝐸−04	2.7340𝐸−04
order	/	1.6201	1.7399	1.7983	1.8336	1.8578
𝑢−𝑢ℎ0	1.0995𝐸−02	2.7109𝐸−03	6.4263𝐸−04	1.5941𝐸−04	3.9258𝐸−05	9.3430𝐸−06
order	/	2.0139	2.0539	2.0078	2.0151	2.0498