Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628096 | Applied Mathematics and Computation | 2014 | 16 Pages |
Abstract
In this paper, we are concerned with the wave equations in perforated domains with a homogeneous Neumann condition on the boundary of the holes. The multiscale asymptotic expansion of the solution for the problem are constructed and associated explicit convergence rates are obtained. A multiscale numerical method is introduced. Finally, we present some numerical results which support strongly the convergence theorem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qiao-Li Dong, Li-Qun Cao,