Journal of Applied Mathematics

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

Dongyang Shi, Hongbo Guan, and Xiaofei Guan

Full-text: Open access

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 EQ rot FE schemes under a reasonable regularity of the exact solution u H 5 / 2 ( Ω ) , which seem to be never discovered in the previous literature. The optimal L 2 -norm error estimate is also derived for EQ rot FE. At last, some numerical results are provided to verify the theoretical analysis.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 156095, 12 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153594

Digital Object Identifier
doi:10.1155/2012/156095

Mathematical Reviews number (MathSciNet)
MR2997277

Zentralblatt MATH identifier
1268.65089

Citation

Shi, Dongyang; Guan, Hongbo; Guan, Xiaofei. Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality. J. Appl. Math. 2012 (2012), Article ID 156095, 12 pages. doi:10.1155/2012/156095. https://projecteuclid.org/euclid.jam/1357153594


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