Multiscale Asymptotic Analysis and Parallel Algorithm of Parabolic Equation in Composite Materials
Joint Authors
Gao, Yang
Wang, Xin
Duan, Xi-liang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
An efficient parallel multiscale numerical algorithm is proposed for a parabolic equation with rapidly oscillating coefficients representing heat conduction in composite material with periodic configuration.
Instead of following the classical multiscale asymptotic expansion method, the Fourier transform in time is first applied to obtain a set of complex-valued elliptic problems in frequency domain.
The multiscale asymptotic analysis is presented and multiscale asymptotic solutions are obtained in frequency domain which can be solved in parallel essentially without data communications.
The inverse Fourier transform will then recover the approximate solution in time domain.
Convergence result is established.
Finally, a novel parallel multiscale FEM algorithm is proposed and some numerical examples are reported.
American Psychological Association (APA)
Wang, Xin& Duan, Xi-liang& Gao, Yang. 2014. Multiscale Asymptotic Analysis and Parallel Algorithm of Parabolic Equation in Composite Materials. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-455441
Modern Language Association (MLA)
Wang, Xin…[et al.]. Multiscale Asymptotic Analysis and Parallel Algorithm of Parabolic Equation in Composite Materials. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-455441
American Medical Association (AMA)
Wang, Xin& Duan, Xi-liang& Gao, Yang. Multiscale Asymptotic Analysis and Parallel Algorithm of Parabolic Equation in Composite Materials. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-455441
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455441