A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel

DOI10.1016/j.cam.2004.02.006zbMath1099.78018OpenAlexW2136849011WikidataQ117717478 ScholiaQ117717478MaRDI QIDQ704190

Stefan Vandewalle, Daan Huybrechs, Jo Simoens

Publication date: 13 January 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.006

zbMATH Keywords

Helmholtz equationwavelet comparison

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Waves and radiation in optics and electromagnetic theory (78A40)

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Cites Work

• Multilevel preconditioning
• Integral equations. Theory and numerical treatment
• Wavelet approximations for first kind boundary integral equations on polygons
• Fast wavelet transforms and numerical algorithms I
• Biorthogonal bases of compactly supported wavelets
• Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
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