2024-03-29T01:26:11Z
https://niigata-u.repo.nii.ac.jp/oai
oai:niigata-u.repo.nii.ac.jp:00003971
2022-12-15T03:36:59Z
423:424:425
453:454
Application of Krylov subspace methods to boundary element sound field analysis : analysis of large-scale sound fields using iterative solvers Part 1
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
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
安田, 洋介
46446
小坂, 慶之
46447
岡本, 則子
46448
大嶋, 拓也
46449
佐久間, 哲哉
46450
坂本, 慎一
46451
大規模音場解析
境界要素法
反復解法
Krylov部分空間法
収束
前処理
高速多重極アルゴリズム
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.
journal article
日本建築学会
2006-07
application/pdf
日本建築学会環境系論文集
605
15
22
日本建築学会環境系論文集
AA11830377
13480685
https://niigata-u.repo.nii.ac.jp/record/3971/files/110004761895.pdf
jpn
http://ci.nii.ac.jp/naid/110004761895
社団法人日本建築学会
本文データは学協会の許諾に基づきCiNiiから複製したものである