High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings

被引：10

作者：

Chun, S. ^{[1
]}

Hesthaven, J. S. ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 02期

基金：

美国国家科学基金会;

关键词：

Thin layer approximations; Maxwell's equations; Discontinuous Galerkin methods;

D O I：

10.1016/j.cam.2009.04.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a family of high-order accurate thin layer approximations for time-domain electromagnetics. The thin layer approximations are valid for metal backed coatings of general isotropic materials and certain classes of anisotropic materials on smooth curvilinear backgrounds. Both dielectric and magnetic materials can be considered. These models are non-trivial and we discuss their properties and implementation in the context of discontinuous Galerkin methods which are particularly well suited for these models. The range of validity, accuracy, and stability of the resulting schemes is demonstrated through one- and two-dimensional examples. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：598 / 611

页数：14

共 6 条

[1] Sta-bility of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings [J].