論文

2006年

境界要素音場解析へのKrylov部分空間法の適用 : 反復解法を利用した大規模音場数値解析 その1

日本建築学会環境系論文集
  • 安田 洋介
  • ,
  • 小坂 慶之
  • ,
  • 岡本 則子
  • ,
  • 大嶋 拓也
  • ,
  • 佐久間 哲哉
  • ,
  • 坂本 慎一

71
605
開始ページ
15
終了ページ
22
記述言語
日本語
掲載種別
DOI
10.3130/aije.71.15_3
出版者・発行元
日本建築学会

Iterative solvers are widely used for solving large systems of linear equations, and applied to the systems obtained with the acoustical FEM and BEM. In the present paper, the convergence behavior of the Krylov subspace iterative solvers towards the systems with the 3-D acoustical fast muftipole BEM, an efficient BEM based on the fast multipole algorithm, is investigated through numerical experiments. The convergence behavior of solvers is much affected by the formulation of the BEM (basic form (BF), normal derivative form (NDF) 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 converge more stable than others, and these solvers are useful when solving interior problems using BF. When solving exterior problems with greatly complex shape using 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 thin objects using NDF, 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/10.3130/aije.71.15_3
CiNii Articles
http://ci.nii.ac.jp/naid/110004761895
CiNii Books
http://ci.nii.ac.jp/ncid/AA11830377
URL
http://id.ndl.go.jp/bib/8024660
URL
http://hdl.handle.net/10191/18374
URL
https://www.aij.or.jp/paper/detail.html?productId=17781
ID情報
  • DOI : 10.3130/aije.71.15_3
  • ISSN : 1348-0685
  • CiNii Articles ID : 110004761895
  • CiNii Books ID : AA11830377
  • identifiers.cinii_nr_id : 1000040332647

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