A wavelet-based approach for solving integral equations in seismic wave scattering problems: Compression of large kernel data matrices

Hiroshi Takenaka; Hiroyuki Fujiwara

A wavelet-based approach for solving integral equations in seismic wave scattering problems: Compression of large kernel data matrices

Research output: Contribution to journal › Article › peer-review

Abstract

Wavelets can be an effective tool for compressing integral operator matrices arising from large-scale simulation of wave scattering problems. We propose an approach based on the Haar wavelets to compress the matrices in the standard collocation-type boundary element method for seismic wave problems. We describe the formulation and show some numerical examples. In the examples we confirm this approach can attain higher compressibility within small accuracy loss for larger problems.

Original language	English
Pages (from-to)	61-68
Number of pages	8
Journal	Science Reports of the Kyushu University, Department of Earth and Planetary Sciences
Volume	21
Issue number	2
Publication status	Published - 2002
Externally published	Yes

Keywords

Boundary element method
Integral equation
Scattering
Seismic wave
Wavelets

ASJC Scopus subject areas

Space and Planetary Science
Earth and Planetary Sciences(all)

Cite this

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abstract = "Wavelets can be an effective tool for compressing integral operator matrices arising from large-scale simulation of wave scattering problems. We propose an approach based on the Haar wavelets to compress the matrices in the standard collocation-type boundary element method for seismic wave problems. We describe the formulation and show some numerical examples. In the examples we confirm this approach can attain higher compressibility within small accuracy loss for larger problems.",

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year = "2002",

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AB - Wavelets can be an effective tool for compressing integral operator matrices arising from large-scale simulation of wave scattering problems. We propose an approach based on the Haar wavelets to compress the matrices in the standard collocation-type boundary element method for seismic wave problems. We describe the formulation and show some numerical examples. In the examples we confirm this approach can attain higher compressibility within small accuracy loss for larger problems.

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KW - Integral equation

KW - Scattering

KW - Seismic wave

KW - Wavelets

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A wavelet-based approach for solving integral equations in seismic wave scattering problems: Compression of large kernel data matrices

Abstract

Keywords

ASJC Scopus subject areas

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