Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in General Domains
نویسندگان
چکیده
Abstract. This paper presents the multiscale analysis and computation for parabolic equations with rapidly oscillating coefficients in general domains. The major contributions of this study are twofold. First, we define the boundary layer solution and the convergence rate with ε1/2 for the multiscale asymptotic solutions in general domains. Secondly, a highly accurate computational algorithm is developed. Numerical simulations are then carried out to validate the theoretical results.
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تاریخ انتشار 2013