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Pollution free discretization of Maxwell`s equations in terms of potentials

Abstract

A 2D discretization of Maxwell`s equations is studied in terms of the electromagnetic potentials using linear and cubic finite elements. The formulation is first analyzed with respect to the discrete dispersion properties to show that it is pollution free. It is then further applied to a simple cylindrical waveguide problem, showing good convergence to the analytical eigenfrequencies. (author) 6 figs., 13 refs.
Authors:
Jaun, A; Appert, K; Vaclavik, J [1] 
  1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Publication Date:
Mar 01, 1994
Product Type:
Technical Report
Report Number:
LRP-492/94
Reference Number:
SCA: 990200; PA: AIX-25:032126; EDB-94:073077; NTS-94:019963; SN: 94001192758
Resource Relation:
Other Information: PBD: Mar 1994
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MAXWELL EQUATIONS; FINITE ELEMENT METHOD; POLLUTION; POTENTIALS; CONVERGENCE; DISPERSION RELATIONS; EIGENFREQUENCY; ELECTROSTATICS; FUNCTIONALS; MESH GENERATION; SPECTRA; THEORETICAL DATA; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS; WAVEGUIDES; 990200; MATHEMATICS AND COMPUTERS
OSTI ID:
10144879
Research Organizations:
Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Country of Origin:
Switzerland
Language:
English
Other Identifying Numbers:
Other: ON: DE94622706; TRN: CH9400098032126
Availability:
OSTI; NTIS; INIS
Submitting Site:
CHN
Size:
13 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Jaun, A, Appert, K, and Vaclavik, J. Pollution free discretization of Maxwell`s equations in terms of potentials. Switzerland: N. p., 1994. Web.
Jaun, A, Appert, K, & Vaclavik, J. Pollution free discretization of Maxwell`s equations in terms of potentials. Switzerland.
Jaun, A, Appert, K, and Vaclavik, J. 1994. "Pollution free discretization of Maxwell`s equations in terms of potentials." Switzerland.
@misc{etde_10144879,
title = {Pollution free discretization of Maxwell`s equations in terms of potentials}
author = {Jaun, A, Appert, K, and Vaclavik, J}
abstractNote = {A 2D discretization of Maxwell`s equations is studied in terms of the electromagnetic potentials using linear and cubic finite elements. The formulation is first analyzed with respect to the discrete dispersion properties to show that it is pollution free. It is then further applied to a simple cylindrical waveguide problem, showing good convergence to the analytical eigenfrequencies. (author) 6 figs., 13 refs.}
place = {Switzerland}
year = {1994}
month = {Mar}
}