Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains

Authors:
Li-Qun Cao;Jun-Zhi Cui;De-Chao Zhu
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2002

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Cited 6

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Abstract

The multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains are discussed in this paper. A multiscale asymptotic analysis formulation for this problem is presented by constructing properly the boundary layer. A multiscale numerical algorithm and a postprocessing technique are given. Finally, numerical results show that the method presented in this paper is effective and reliable.