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arXiv · 1711.10627

Convergence of an Explicit Iterative Leap-frog Discontinuous Galerkin Method for Time-domain Maxwell's Equations in Anisotropic Materials

Adérito Araújo·Sílvia Barbeiro·Maryam Khaksar Ghalati
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Abstract

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.

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Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati. 2017-11-29. Convergence of an Explicit Iterative Leap-frog Discontinuous Galerkin Method for Time-domain Maxwell's Equations in Anisotropic Materials. https://arxiv.org/abs/1711.10627

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