Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality
Joint Authors
Shi, Dongyang
Guan, Hongbo
Guan, Xiaofei
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 EQrot 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 EQrot FE.
At last, some numerical results are provided to verify the theoretical analysis.
American Psychological Association (APA)
Shi, Dongyang& Guan, Hongbo& Guan, Xiaofei. 2012. Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1028732
Modern Language Association (MLA)
Shi, Dongyang…[et al.]. Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1028732
American Medical Association (AMA)
Shi, Dongyang& Guan, Hongbo& Guan, Xiaofei. Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1028732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028732
