A negative-norm least-squares method for time-harmonic Maxwell equations
type: Item
instance of: scholarly article
title: A negative-norm least-squares method for time-harmonic Maxwell equations
zbMATH Open document ID: 1243.78044
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-11T00:00:00Z
review text: The author presents a negative-norm least-squares method for time-harmonic axisymmetric Maxwell problems, which decouple in cylindrical coordinates into independent two-dimensional problems. The analysis is performed in weighted Sobolev spaces based on the degenerate radial weighting. The existence and uniqueness of solutions of the continuous and discrete formulation are established. The author proves the stability of the least-squares method and derives quasi-optimal error estimates in negative norms. The performance of the method is demonstrated in numerical experiments for problems with continuous and discontinuous material properties.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q61
zbMATH DE Number: 6005690
zbMATH Keywords: Maxwell equations
zbMATH Keywords: axisymmetry
zbMATH Keywords: least squares
zbMATH Keywords: finite elements
zbMATH Keywords: weighted Sobolev space
author: Dylan Matthew Copeland
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.09.004
OpenAlex ID: W2052140831
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DOI: 10.1016/J.JMAA.2011.09.004
description: scientific article; zbMATH DE number 6005690