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Domain Decomposition Schemes Based on the Penalty Method for the Problems of Perfect Contact of Elastic Bodies

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On the basis of the penalty method, we propose a number of continuous parallel domain decomposition schemes for the solution of the problems of perfect mechanical contact of elastic bodies. For some of these schemes, we prove the theorems on convergence. We study the problem of optimal choice of the iterative parameters. The relationship between the proposed schemes and the domain decomposition methods without penalty is established.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    І. І. Prokopyshyn

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  1. І. І. Prokopyshyn
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 1, pp. 41–56, January–March, 2014.

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Prokopyshyn, І.І. Domain Decomposition Schemes Based on the Penalty Method for the Problems of Perfect Contact of Elastic Bodies. J Math Sci 212, 46–66 (2016). https://doi.org/10.1007/s10958-015-2648-2

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