論文

2007年12月

Numerical analysis of large-scale sound fields using iterative methods part I: Application of Krylov subspace methods to boundary element analysis

JOURNAL OF COMPUTATIONAL ACOUSTICS
  • Y. Yasuda
  • ,
  • S. Sakamoto
  • ,
  • Y. Kosaka
  • ,
  • T. Sakuma
  • ,
  • N. Okamoto
  • ,
  • T. Oshima

15
4
開始ページ
449
終了ページ
471
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1142/S0218396X07003470
出版者・発行元
WORLD SCIENTIFIC PUBL CO PTE LTD

The convergence behavior of the Krylov subspace iterative solvers towards the systems with the 3D acoustical BEM is investigated through numerical experiments. The fast multipole BEM, which is an efficient BEM based on the fast multipole method, is used for solving problems with up to about 100,000 DOF. It is verified that the convergence behavior of solvers is much affected by the formulation of the BEM (singular, hypersingular, and Burton-Miller formulation), the complexity of the shape of the problem, and the sound absorption property of the boundaries. In BiCG-like solvers, GPBiCG and BiCGStab2 have more stable convergence than others, and these solvers are useful when solving interior problems in basic singular formulation. When solving exterior problems with greatly complex shape in Burton-Miller formulation, all solvers hardly converge without preconditioning, whereas the convergence behavior is much improved with ILU-type preconditioning. In these cases GMRes is the fastest, whereas CGS is one of the good choices, when taken into account the difficulty of determining the timing of restart for GMRes. As for calculation for rigid thin objects in hypersingular formulation, much more rapid convergence is observed than ordinary interior/exterior problems, especially using BiCG-like solvers.

リンク情報
DOI
https://doi.org/10.1142/S0218396X07003470
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000258298500004&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=49549093164&origin=inward
ID情報
  • DOI : 10.1142/S0218396X07003470
  • ISSN : 0218-396X
  • SCOPUS ID : 49549093164
  • Web of Science ID : WOS:000258298500004

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