High order edge finite element approximations for the time-harmonic Maxwell's equations

Marcella Bonazzoli, Elena Gaburro, Victorita Dolean, Francesca Rapetti

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

4 Citations (Scopus)

Abstract

The time-harmonic Maxwell's equations model the propagation of electromagnetic waves and are therefore fundamental equations for the simulation of many modern devices in everyday life. The numerical solution of these equations is hampered by some fundamental problems especially in the high frequency regime. Fine meshes have to be used in order to accurately represent the solution and also to avoid the pollution effect, which is very well known for the Helmholtz equations. We propose in this paper to address this problem by considering high order finite element approximations and in particular Whitney edge elements.

Original languageEnglish
Title of host publication2014 IEEE Conference on Antenna Measurements and Applications, CAMA 2014
Place of PublicationPiscataway, NJ
PublisherIEEE
Number of pages4
ISBN (Electronic)9781479936786
DOIs
Publication statusPublished - 8 Jan 2015
Event2014 IEEE Conference on Antenna Measurements and Applications, CAMA 2014 - Antibes Juan-les-Pins, France
Duration: 16 Nov 201419 Nov 2014

Conference

Conference2014 IEEE Conference on Antenna Measurements and Applications, CAMA 2014
CountryFrance
CityAntibes Juan-les-Pins
Period16/11/1419/11/14

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Keywords

  • Maxwell's equations
  • Helmholtz equations

Cite this

Bonazzoli, M., Gaburro, E., Dolean, V., & Rapetti, F. (2015). High order edge finite element approximations for the time-harmonic Maxwell's equations. In 2014 IEEE Conference on Antenna Measurements and Applications, CAMA 2014 [7003328] Piscataway, NJ: IEEE. https://doi.org/10.1109/CAMA.2014.7003328