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.

About the authors

E. M. Rudoy

Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Author for correspondence.
Email: rem@hydro.nsc.ru
Russian Federation, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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