A comparative study of characteristic-based algorithms for the Maxwell equations
type: Item
instance of: scholarly article
title: A comparative study of characteristic-based algorithms for the Maxwell equations
zbMATH Open document ID: 0848.65087
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: The authors consider initial value problems involving Maxwell's equations, and develop a strong conservative form of the flux vector form of the system in terms of a general system of spatial coordinates. They suggest that solutions may be discussed by splitting of the flux vectors, and discuss the applicability of using finite volume approximations for the modified flux vector equations. The theory is illustrated by obtaining numerical solutions for fields associated with an oscillating electric dipole in a rectangular waveguide with a number of different mesh systems, the condition of no reflection being approximated by taking zero values at the outermost nodes. The agreement with the accurate solution is satisfactory but indications are given as to how accuracy may be lost.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A50
zbMATH DE Number: 881924
zbMATH Keywords: characteristic-based algorithms
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: finite volume approximations
zbMATH Keywords: flux vector equations
zbMATH Keywords: oscillating electric dipole
zbMATH Keywords: waveguide
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: jcph.1996.0100
OpenAlex ID: W1977044583
DOI: 10.1006/JCPH.1996.0100
description: scientific article; zbMATH DE number 881924