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Solution of an integro-differential equation describing the electromagnetic field distribution in a magnetic compressor

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Abstract

We construct a mathematical model of electromagnetic processes in a magnetic accelerator. In the two-dimensional approximation, the Maxwell equations are reduced to a system of scalar integro-differential equations in the conductors and to the Laplace equation in the dielectric subdomains. We obtain a numerical model on the basis of the Galerkin–Petrovmethod with piecewise constant and piecewise linear basis functions. The results of computations are represented.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Moscow, Russia

    M. P. Galanin, A. P. Lototskii & A. S. Rodin

  2. Troitsk Institute of Innovative and Thermonuclear Research, Troitsk, Russia

    M. P. Galanin, A. P. Lototskii & A. S. Rodin

Authors
  1. M. P. Galanin
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  2. A. P. Lototskii
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  3. A. S. Rodin
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Correspondence to M. P. Galanin.

Additional information

Original Russian Text © M.P. Galanin, A.P. Lototskii, A.S. Rodin, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 7, pp. 927–936.

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Galanin, M.P., Lototskii, A.P. & Rodin, A.S. Solution of an integro-differential equation describing the electromagnetic field distribution in a magnetic compressor. Diff Equat 52, 887–896 (2016). https://doi.org/10.1134/S0012266116070089

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  • DOI: https://doi.org/10.1134/S0012266116070089

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