Article ID Journal Published Year Pages File Type
470855 Computers & Mathematics with Applications 2015 14 Pages PDF
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)
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