On the Influence of the Wavenumber on Compression in a Wavelet Boundary Element Method for the Helmholtz Equation
Year: 2007
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 48–62
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 as 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-IJNAM-850
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 48–62
Published online: 2007-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: wavelets boundary element method and Helmholtz equation.