Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials

Araújo, Adérito; Barbeiro, Sílvia; Khaksar Ghalati, Maryam

http://hdl.handle.net/10400.8/8542

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Authors

Araújo, Adérito

Barbeiro, Sílvia

Khaksar Ghalati, Maryam

Abstract(s)

We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.

Keywords

Maxwell’s equations Explicit iterative leap-frog discontinuous Galerkin method Convergence Light scattering

URI

http://hdl.handle.net/10400.8/8542

Citation

Araújo, A., Barbeiro, S., & Khaksar Ghalati, M. (2018). Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials. Journal of Mathematics in Industry, 8(9). https://doi.org/10.1186/s13362-018-0051-6

Publisher

SpringerOpen

DOI

10.1186/s13362-018-0051-6

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CDRsp - Artigos em revistas internacionais

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