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Algorithm composition scheme for problems in composite domains based on the difference potential method

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Abstract

An algorithm composition scheme for the numerical solution of boundary value problems in composite domains is proposed and illustrated using an example. The scheme requires neither difference approximations of the boundary conditions nor matching conditions on the boundary between the subdomains. The scheme is suited for multiprocessor computers.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    V. S. Ryaben’kii & V. I. Turchaninov

  2. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Ye. Yu. Epshteyn

Authors
  1. V. S. Ryaben’kii
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  2. V. I. Turchaninov
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  3. Ye. Yu. Epshteyn
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Original Russian Text © V.S. Ryaben’kii, V.I. Turchaninov, Ye.Yu. Epsteyn, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 10, pp. 1853–1870.

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Ryaben’kii, V.S., Turchaninov, V.I. & Epshteyn, Y.Y. Algorithm composition scheme for problems in composite domains based on the difference potential method. Comput. Math. and Math. Phys. 46, 1768–1784 (2006). https://doi.org/10.1134/S0965542506100137

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  • DOI: https://doi.org/10.1134/S0965542506100137

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