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

Dongyang Shi, Hongbo Guan and Xiaofei Guan

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

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 FE schemes under a reasonable regularity of the exact solution , which seem to be never discovered in the previous literature. The optimal -norm error estimate is also derived for FE. At last, some numerical results are provided to verify the theoretical analysis.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:156095

DOI: 10.1155/2012/156095

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