Finite element method for the solution of Maxwell's equations in multiple media
type: Item
instance of: scholarly article
title: Finite element method for the solution of Maxwell's equations in multiple media
zbMATH Open document ID: 0635.65129
DOI: 10.1016/0096-3003(88)90107-5
author: Ching-Lung Chang
published in: Applied Mathematics and Computation
publication date: 1988-01-01T00:00:00Z
review text: The paper deals with a collocation finite element method which is applied to solve the electromagnetic equations in two or more media. The main problem is that the solution is discontinuous. The proof of the convergence of the collocation method is given. Unfortunately, the paper contains several inexact definitions and statements. For example, the definition of matrix \(P_{ij}\), when \({\bar \Omega}_ i\cap \Omega_ j=\Phi.\) Moreover, in definition of \(S_ h\) the author should assume that \(n\times v\) \(h=0\) only at net points of the boundary, since \(\partial \Omega\) is curved. The author presents an estimate in the norm \(\| v\quad h-v\|_ 2,\) which is not defined when v h is piecewise linear. The list of references could be more complete.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 4035080
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: multiple media
zbMATH Keywords: collocation finite element method
zbMATH Keywords: electromagnetic equations
zbMATH Keywords: convergence
reviewed by: P. Neittaanmäki
MaRDI profile type: Publication
full work available at URL: 0096-3003(88)90107-5
OpenAlex ID: W2069280735
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description: scientific article; zbMATH DE number 4035080