A Numerical Solution for the Time Variant Maxwell Equations using a Discontinuous Galerkin Method

Juan G. Fuentes, Sergio Ivvan Valdez Peña, Salvador Botello
2018 International Journal of Combinatorial Optimization Problems and Informatics  
In this work a parallel scheme to solve the dynamic Maxwell's equations is presented, in order to simulate an electromagnetic wave in a two-dimensional domain composed of distinct dielectric materials and subject to boundary conditions. In this approach a Discontinuous Galerkin Finite Element Method (DG-FEM) is used to compute the solution over a discretized domain of non-overlapping straightsided elements. In contrast to continuous Galerkin methods, the core of the simulation relies on a set
more » ... elementwise calculations instead of a global processing. These local calculations are computed simultaneously in a shared memory environment with the parallel framework proposed, taking advantage of the discontinuous nature of the solver implemented.
dblp:journals/ijcopi/FuentesPB18 fatcat:smmrf5zfuzcodfp6pu66ndk54i