A Legendre Pseudospectral Penalty Scheme for Solving Time-Domain Maxwell’s Equations
Journal
Journal of Scientific Computing
Journal Volume
36
Journal Issue
3
Pages
351-390
Date Issued
2008-09
Author(s)
Abstract
In this paper we present a Legendre pseudospectral algorithm based on a tensor product formulation for solving the time-domain Maxwell equations. Our approach starts by conducting an analysis for finding well-posed boundary operators for the Maxwell equations. We then discuss equivalent characteristic boundary conditions for common physical boundary constraints. These theoretical results are then employed to construct a pseudospectral penalty scheme which is asymptotically stable at the semidiscrete level. Numerical computations based on the proposed scheme are also provided for different cases where exact solutions exist. By measuring the differences between the computed and exact solutions, we observe the expected convergence patterns of the scheme. © 2008 Springer Science+Business Media, LLC.
Type
journal article