A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel
type: Item
instance of: scholarly article
title: A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel
zbMATH Open document ID: 1099.78018
author: Daan Huybrechs
author: Jo Simoens
author: Stefan Vandewalle
published in: Journal of Computational and Applied Mathematics
publication date: 2005-01-13T00:00:00Z
review text: The wave number dependence of the wave matrix compression for the boundary element method as applied to the two-dimensional Helmholtz equation is investigated. It was found that there is a linear relation between the matrix-fill and the frequency.
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 2127095
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: wavelet comparison
Wikidata QID: Q117717478
reviewed by: Daniel Lesnic
MaRDI profile type: Publication
full work available at URL: j.cam.2004.02.006
OpenAlex ID: W2136849011
cites work: Q3661894
cites work: Fast wavelet transforms and numerical algorithms I
cites work: Biorthogonal bases of compactly supported wavelets
cites work: Q3672341
cites work: Q4356573
cites work: Q4880368
cites work: Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
cites work: Multilevel preconditioning
cites work: Q4717937
cites work: Integral equations. Theory and numerical treatment
cites work: Q4356889
cites work: Q4380363
cites work: Wavelet approximations for first kind boundary integral equations on polygons
DOI: 10.1016/J.CAM.2004.02.006
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description: scientific article; zbMATH DE number 2127095