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Numerical Analysis of the Stress-Strain State of a Body with Thin Inclusion by the Domain Decomposition Method

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We consider a mathematical model of elastic body with thin inclusion or coating in the form of a thin elastic shell. It is shown that the corresponding Steklov–Poincaré operator of the mathematical model possesses the properties guaranteeing the existence and uniqueness of a weak solution of the boundary-value problem. We propose a method of solution based on the domain decomposition algorithm with the use of the boundary-element and finite-element methods. We prove the convergence of the iterative domain decomposition method and present the results of numerical experiments.

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Authors and Affiliations

  1. I. Franko Lviv National University, Lviv, Ukraine

    A. O. Styahar, Ya. H. Savula & I. I. Dyyak

Authors
  1. A. O. Styahar
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  2. Ya. H. Savula
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  3. I. I. Dyyak
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 3, pp. 119–131, July–September, 2014.

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Styahar, A.O., Savula, Y.H. & Dyyak, I.I. Numerical Analysis of the Stress-Strain State of a Body with Thin Inclusion by the Domain Decomposition Method. J Math Sci 217, 283–298 (2016). https://doi.org/10.1007/s10958-016-2973-0

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  • DOI: https://doi.org/10.1007/s10958-016-2973-0

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