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Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions

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In this paper we present a new set of non-linear PML equations for the multi-dimensional Maxwell’s equation and show that they are strongly well posed and temporally stable. Numerical examples demonstrate the validity of the new method.

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Authors and Affiliations

  1. Department of Applied Mathematics, Tel Aviv University, Tel Aviv, Israel

    S. Abarbanel

  2. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    D. Gottlieb & J. S. Hesthaven

Authors
  1. S. Abarbanel
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  2. D. Gottlieb
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  3. J. S. Hesthaven
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Correspondence to J. S. Hesthaven.

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Abarbanel, S., Gottlieb, D. & Hesthaven, J.S. Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions. J Sci Comput 28, 125–137 (2006). https://doi.org/10.1007/s10915-006-9072-1

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  • DOI: https://doi.org/10.1007/s10915-006-9072-1

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