The Hermite-Taylor Correction Function Method for Maxwell's Equations

被引：0

作者：

Law, Yann-Meing ^{[1
]}

Appelo, Daniel ^{[1
]}

机构：

[1] Michigan State Univ, Dept CMSE, E Lansing, MI 48824 USA

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 7卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hermite method; Correction function method (CFM); Maxwell's equations; High order; Boundary conditions; TIME-DOMAIN METHOD; POISSON PROBLEMS; SIMULATIONS; SCHEME;

D O I：

10.1007/s42967-023-00287-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hermite-Taylor method, introduced in 2005 by Goodrich et al. is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains. Unfortunately, its widespread use has been prevented by the lack of a systematic approach to implementing boundary conditions. In this paper we present the Hermite-Taylor correction function method (CFM), which provides exactly such a systematic approach for handling boundary conditions. Here we focus on Maxwell's equations but note that the method is easily extended to other hyperbolic problems.

引用

页码：347 / 371

页数：25

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