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Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions

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Abstract

The equilibrium problem for a membrane containing a set of volume and thin rigid inclusions is considered. A solution algorithm reducing the original problem to a system of Dirichlet ones is proposed. Several examples are presented in which the problem is solved numerically by applying the finite element method.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090, Russia

    E. M. Rudoy

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    E. M. Rudoy

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  1. E. M. Rudoy
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Correspondence to E. M. Rudoy.

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Original Russian Text © E.M. Rudoy, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 3, pp. 455–464.

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Rudoy, E.M. Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions. Comput. Math. and Math. Phys. 56, 450–459 (2016). https://doi.org/10.1134/S0965542516030155

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  • DOI: https://doi.org/10.1134/S0965542516030155

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