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Publicação
Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials
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Orientador(es)
Resumo(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.
Descrição
Palavras-chave
Maxwell’s equations Explicit iterative leap-frog discontinuous Galerkin method Convergence Light scattering
Contexto Educativo
Citação
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
Editora
SpringerOpen