Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality
نویسندگان
چکیده
This paper studies the finite element FE approximation to a second-type variational inequality. The supe rclose and superconvergence results are obtained for conforming bilinear FE and nonconforming EQ FE schemes under a reasonable regularity of the exact solution u ∈ H5/2 Ω , which seem to be never discovered in the previous literature. The optimal L2-norm error estimate is also derived for EQ FE. At last, some numerical results are provided to verify the theoretical analysis.
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عنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012