Analysis of the conditioning number of the plane wave approximation for the helmholtz equation

Omar Laghrouche, P. Bettess, R. Sugimoto

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

5 Citations (Scopus)

Abstract

The conditioning of the plane wave approximation finite element model for the Helmholtz equation is analysed when the number of the planar waves and the problem wave number are increased. It appears that conditioning for problems with low wave numbers is poorer than for high wave numbers and that it grows exponentially when the number of the approximating plane waves increases. It is shown that a reasonable choice of a reduced number of the approximating plane waves lead to good quality solutions.

Original languageEnglish
Title of host publicationECCOMAS 2000
Subtitle of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering
PublisherECCOMAS
ISBN (Print)8489925704, 9788489925700
Publication statusPublished - 2000
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering 2000 - Barcelona, Spain
Duration: 11 Sep 200014 Sep 2000

Conference

ConferenceEuropean Congress on Computational Methods in Applied Sciences and Engineering 2000
Abbreviated titleECCOMAS 2000
CountrySpain
CityBarcelona
Period11/09/0014/09/00

Keywords

  • Condition number
  • Direction of propagation
  • Helmholtz equation
  • Plane wave approximation
  • Wave scattering

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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  • Cite this

    Laghrouche, O., Bettess, P., & Sugimoto, R. (2000). Analysis of the conditioning number of the plane wave approximation for the helmholtz equation. In ECCOMAS 2000: European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS.