A Comparison Study on Wavelet Sparsification for Solving Acoustic Scattering Problems over a Wide Frequency Range

DOI10.1080/15502280802623255zbMath1425.65211OpenAlexW2041375919MaRDI QIDQ3404060

M. Hesham, M. A. Hassanein

Publication date: 5 February 2010

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280802623255

zbMATH Keywords

integral equationdiscrete wavelet transformacoustic scatteringsparse matriceswavelet basis

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60)

Uses Software

• Matlab

Cites Work

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• An iterative GMRES-based boundary element solver for acoustic scattering.
• Expansion method for linear integral equations by cardinal B-spline wavelet and Shannon wavelet as bases for obtain Galerkin system
• Solving second kind Fredholm integral equations by periodic wavelet Galerkin method
• Ten Lectures on Wavelets
• An Overview of Wavelet Based Multiresolution Analyses
• Fast solution of electromagnetic integral equations using adaptive wavelet packet transform
• Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates

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