The finite element method in electromagnetics

Magdalena Salazar-Palma, Luis Emilio García-Castillo, Tapan K. Sarkar

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

1 Scopus citations

Abstract

This Key Note presents a summary of the development of the Finite Element Method in the field of Electromagnetic Engineering, together with a description of several contributions of the authors to the Finite Element Method and its application to the solution of electromagnetic problems. First, a self-adaptive mesh scheme is presented in the context of the quasi-static and full-wave analysis of general anisotropic multiconductor arbitrary shaped waveguiding structures. A comparison between two a posteriori error estimates is done. The first one is based on the complete residual of the differential equations defining the problem. The second one is based on a recovery or smoothing technique of the electromagnetic field. Next, an implementation of the first family of Nédélec's curl-conforming elements done by the authors is outlined. Its features are highlighted and compared with other curl-conforming elements. A presentation of an iterative procedure using a numerically exact radiation condition for the analysis of open (scattering and radiation) problems follows. Other contributions of the authors, like the use of wavelet like basis functions and an implementation of a Time Domain Finite Element Method in the context of two-dimensional scattering problems are only mentioned due to the lack of space.

Original languageEnglish (US)
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
StatePublished - Dec 1 2000
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain
Duration: Sep 11 2000Sep 14 2000

Publication series

NameEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
CountrySpain
CityBarcelona
Period9/11/009/14/00

Keywords

  • Complete residual and recovery error estimates
  • Green's function
  • History of the finite element method in electromagnetics
  • Iterative procedure
  • Nédélec's curl-conforming elements
  • Open problems
  • Self-adaptive mesh
  • Spurious modes
  • Time-domain finite element method
  • Wavelet-like basis functions

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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