Method of asymptotic partial domain decomposition for non-steady problems: Wave equation on a thin structure

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Abstract

The wave equation is considered in a thin structure. The asymptotic expansion of the solution is constructed. The error estimates for high order asymptotic approximations are proved. The method of asymptotic partial domain decomposition is justified for the wave equation.

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Panasenko, G. (2015). Method of asymptotic partial domain decomposition for non-steady problems: Wave equation on a thin structure. In Springer Proceedings in Mathematics and Statistics (Vol. 116, pp. 109–124). Springer New York LLC. https://doi.org/10.1007/978-3-319-12148-2_7

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