Radiation conditions for the discrete analogues of the non-stationary Maxwell's equations in the case of an inhomogeneous medium
type: Item
instance of: scholarly article
title: Radiation conditions for the discrete analogues of the non-stationary Maxwell's equations in the case of an inhomogeneous medium
zbMATH Open document ID: 0844.65094
author: Yanyan Li
published in: Computational Mathematics and Mathematical Physics
publication date: 1996-08-29T00:00:00Z
review text: The authors consider solutions of Maxwell's equations for an axially symmetrical medium with variable dielectric constant and constant permeability when initial values of electric and magnetic fields are given. It is assumed that the initial fields, and the electric and magnetic currents vanish outside a specified sphere. They construct a uniform time grid, and non uniform space grids for spherical polar coordinates and develop the relevant radiation conditions over a large sphere of indefinite radius. An indication of the error involved in the numerical solution is given.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 859654
zbMATH Keywords: inhomogeneous medium
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: electric and magnetic fields
zbMATH Keywords: radiation
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 859654