Araújo, AdéritoBarbeiro, SílviaKhaksar Ghalati, Maryam2023-05-312023-05-312018Araújo, 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/s13362-018-0051-62190-5983http://hdl.handle.net/10400.8/8542We 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.engMaxwell’s equationsExplicit iterative leap-frog discontinuous Galerkin methodConvergenceLight scatteringConvergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materialsjournal article10.1186/s13362-018-0051-6