Multiscale asymptotic expansions methods and numerical algorithms for the wave equations in perforated domains

Qiao-Li Dong and Li-Qun Cao

Applied Mathematics and Computation, 2014, vol. 232, issue C, 872-887

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: Homogenization; Multiscale asymptotic expansion; Wave equation; Finite element method; Symplectic geometric scheme; Perforated domain (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:872-887

DOI: 10.1016/j.amc.2013.12.112

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