Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

JOURNAL OF COMPUTATIONAL PHYSICS

卷:258

Article

Li, Jichun¹  Hesthaven, Jan S.² 

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[2] Ecole Polytech Fed Lausanne, EPFL SB MATHICSE MCSS, CH-1015 Lausanne, Switzerland

关键词: Maxwell's equations;    Metamaterial;    Discontinuous Galerkin method;    Perfectly matched layers;   

DOI  :  10.1016/j.jcp.2013.11.018

来源: Elsevier

【 摘 要 】

In this paper, we develop a nodal discontinuous Galerkin method for solving the time-dependent Maxwell's equations when metamaterials are involved. Both semi- and fully-discrete schemes are constructed. Numerical stability and error estimate are proved for both schemes. Numerical results are presented to demonstrate that the method is not only efficient but also very effective in solving metamaterial Maxwell's equations. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free