On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation

Stuart C. Hawkins*, Ke Chen, Paul J. Harris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We examine how the wavenumber influences the compression in a wavelet boundary element method for the Helmholtz equation. We show that for wavelets with high vanishing moments the number of nonzeros in the resulting compressed matrix is approximately proportional to the square of the wavenumber. When the wavenumber is fixed, the wavelet boundary element method has optimal complexity with respect to the number of unknowns. When the mesh spacing is proportional to the wavelength, the complexity of the wavelet boundary element method is approximately proportional to the square of the number of unknowns.

Original languageEnglish
Pages (from-to)48-62
Number of pages15
JournalInternational Journal of Numerical Analysis and Modeling
Volume4
Issue number1
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • And Helmholtz equation
  • Boundary element method
  • Wavelets

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