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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References
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Acknowledgments
The present work is supported by the grant number 14-11-00306 of Russian Scientific Foundation, by the Research Federative Structures MODMAD FED 4169 and FR CNRS 3490, by the French–German grant PROCOPE EGIDE 28481WB “Homogenization based optimization for elasticity on the network of beams”, and by LABEX MILYON (ANR-10-LABX-0070) of University of Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR).
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Panasenko, G. (2015). Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: Wave Equation on a Thin Structure. In: Mityushev, V., Ruzhansky, M. (eds) Analytic Methods in Interdisciplinary Applications. Springer Proceedings in Mathematics & Statistics, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-12148-2_7
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DOI: https://doi.org/10.1007/978-3-319-12148-2_7
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