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- Title
Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients.
- Authors
Xiaofei Guan; Xiaoling Wang; Cheng Wang; Xian Liu
- Abstract
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.
- Subjects
STOCHASTIC convergence; MULTISCALE modeling; FINITE element method; ELLIPTIC functions; OSCILLATIONS; COEFFICIENTS (Statistics)
- Publication
Journal of Applied Mathematics, 2013, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2013/764165