Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients
Joint Authors
Liu, Xian
Wang, Xiaoling
Wang, Cheng
Guan, Xiaofei
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A new multiscale finite element method is presented for solving the elliptic equations with rapidly oscillating coefficients.
The proposed method is based on asymptotic analysis and careful numerical treatments for the boundary corrector terms by virtue of the recovery technique.
Under the assumption that the oscillating coefficient is periodic, some superconvergence results are derived, which seem to be never discovered in the previous literature.
Finally, some numerical experiments are carried out to demonstrate the efficiency and accuracy of this method, and it is seen that they agree very well with the analytical result.
American Psychological Association (APA)
Guan, Xiaofei& Wang, Xiaoling& Wang, Cheng& Liu, Xian. 2013. Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496952
Modern Language Association (MLA)
Guan, Xiaofei…[et al.]. Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-496952
American Medical Association (AMA)
Guan, Xiaofei& Wang, Xiaoling& Wang, Cheng& Liu, Xian. Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496952
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496952