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Numerical solution of the Maxwell equations in time-varying media using Magnus expansion

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Central European Journal of Mathematics

Abstract

For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.

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Authors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Pázmány P. sétány 1/C, Budapest, 1117, Hungary

    István Faragó

  2. Department of Meteorology, Eötvös Loránd University, Pázmány P. sétány 1/A, Budapest, 1117, Hungary

    Ágnes Havasi

  3. Institute of Mathematics, Department of Analysis, University of Technology and Economics Budapest, Egry J. u. 1, Budapest, 1111, Hungary

    Robert Horváth

Authors
  1. István Faragó
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  2. Ágnes Havasi
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  3. Robert Horváth
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Correspondence to István Faragó.

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Faragó, I., Havasi, Á. & Horváth, R. Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. centr.eur.j.math. 10, 137–149 (2012). https://doi.org/10.2478/s11533-011-0074-3

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  • DOI: https://doi.org/10.2478/s11533-011-0074-3

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