Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470855 | Computers & Mathematics with Applications | 2015 | 14 Pages |
Abstract
In this paper we discuss the multiscale computation of the wave equations with rapidly oscillating coefficients in a perforated domain. The hole-filling method through filling all holes with a very compliant material is introduced. As the material parameters of the weak phase go to zero, the proof of this limiting process is derived. Based on the above hole-filling method, the multiscale asymptotic method and the convergence results for the associated multiphase problem in a domain without holes are presented. The numerical experiments are carried out to validate the theoretical results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Qiaoli Dong, Liqun Cao,