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

  • Juan G. Fuentes Research Center of Mathematics (CIMAT A.C.), Computational Sciences Department
  • Sergio I. Valdez Research Center of Mathematics (CIMAT A.C.), Computational Sciences Department
  • Salvador Botello Research Center of Mathematics (CIMAT A.C.), Computational Sciences Department
Keywords: Discontinuous Galerkin, Maxwell’s equations, Finite Element Method, Parallel Computing

Abstract

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 straight-sided elements. In contrast to continuous Galerkin methods, the core of the simulation relies on a set of 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.

Published
2018-01-30
How to Cite
Fuentes, J., Valdez, S., & Botello, S. (2018). A Numerical Solution for the Time Variant Maxwell Equations using a Discontinuous Galerkin Method. International Journal of Combinatorial Optimization Problems and Informatics, 9(1), 23-34. Retrieved from https://ijcopi.org/index.php/ojs/article/view/76
Section
Articles