Solution of Maxwell equation in axisymmetric geometry by Fourier series decomposition and by use of \(H\)(rot) conforming finite element
type: Item
instance of: scholarly article
title: Solution of Maxwell equation in axisymmetric geometry by Fourier series decomposition and by use of \(H\)(rot) conforming finite element
zbMATH Open document ID: 0946.65116
author: Patrick Lacoste
published in: Numerische Mathematik
publication date: 2000-03-23T00:00:00Z
review text: The Maxwell equations on a bounded 3D domain \(O\) with axial symmetry are considered for the time dependence like \(\exp(i\omega t)\) in a non-resonance case, i.e. \(\omega\) is not an eienvalue of the ``rot rot'' operator on \(O\). Cylindrical coordinates, a Fourier series decomposition, and weighted Sobolev spaces are used to define the weak solution and to propose a numerical approximation. For the latter point, an extension of the Cartesian mixed finite elements of Raviart-Thomas-Nédelec with interpolation error is used.
reviewed by: Tomáş Roubíçek
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 1423202
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Fourier series decomposition
zbMATH Keywords: mixed finite elements
MaRDI profile type: Publication
full work available at URL: s002110050011
OpenAlex ID: W1973036893
DOI: 10.1007/S002110050011
description: scientific article; zbMATH DE number 1423202