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

Hiroshi Takenaka, Hiroyuki Fujiwara

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)61-68
Number of pages8
JournalScience Reports of the Kyushu University, Department of Earth and Planetary Sciences
Volume21
Issue number2
Publication statusPublished - 2002
Externally publishedYes

Fingerprint

wave scattering
collocation
boundary element method
seismic waves
compressing
seismic wave
wavelet
compressibility
integral equations
compression
formulations
operators
matrix
matrices
simulation
loss

Keywords

  • Boundary element method
  • Integral equation
  • Scattering
  • Seismic wave
  • Wavelets

ASJC Scopus subject areas

  • Geology

Cite this

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