2009•AIP conference proceedingsRequires access

Time-Stepping and Convergence Characteristics of the Discontinuous Galerkin Time-Domain Approach for the Maxwell Equations

Jens Niegemann, Kurt Busch, Mahi R. Singh, R. H. Lipson

Abstract

We provide details on the performance characteristics of the Discontinuous Galerkin Time‐Domain (DGTD) method when applied to solving the linear Maxwell equations. It is shown that even for very simple, grid‐aligned structures, the DGTD easily outperforms the well‐established Finite‐Difference Time‐Domain (FDTD) method.

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Key concepts: Discontinuous Galerkin method, Maxwell's equations, Finite-difference time-domain method, Electromagnetic field solver, Convergence (economics), Scattering-matrix method, Galerkin method, Applied mathematics