A Finite Element Method to Solve the Maxwell Equations in Three-Dimensional Singular Geometry

F. Assous, I. Raichik

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose to solve a three-dimensional time-dependent Maxwell equations in a singular axisymmetric domain with arbitrary data. Using the axisymmetric assumption, the singular computational domain is reduced to a subset of R2, but the electromagnetic field belong to R3. By performing a Fourier analysis in one dimension, we get a sequence of singular problems set in a 2D domain, and propose a new finite element approach to solve the problem. Numerical experiments illustrate the method.

Original languageEnglish
Title of host publication2023 Photonics and Electromagnetics Research Symposium, PIERS 2023 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages263-271
Number of pages9
ISBN (Electronic)9798350312843
DOIs
StatePublished - 2023
Event2023 Photonics and Electromagnetics Research Symposium, PIERS 2023 - Prague, Czech Republic
Duration: 3 Jul 20236 Jul 2023

Publication series

Name2023 Photonics and Electromagnetics Research Symposium, PIERS 2023 - Proceedings

Conference

Conference2023 Photonics and Electromagnetics Research Symposium, PIERS 2023
Country/TerritoryCzech Republic
CityPrague
Period3/07/236/07/23

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Instrumentation
  • Atomic and Molecular Physics, and Optics
  • Radiation

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