2024-03-29T11:26:25Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02002167
2022-02-14T21:27:54Z
1642837622505:1642837855274:1642837874411
1642838403551:1642838406845
線形分散と浅海長波の非線形性を合わせ持つモデル方程式(第4報)-非対称疎行列系へのBi-CGSTAB法の適用-
Model Equations Combining Full Linear Dispersion With Long Wave Nonlinearity, Part4 - Application of Bi-CGSTAB to sparse nonsymmetric systems -
筒井, 茂明
大木, 洋典
Tsutsui, Shigeaki
Ohki, Hironori
Nonlinear waves
Bi-CGSTAB
Iterative solver
Sparse nonsymmetrlc systems
Preconditioning
A skillful iterative solver is needed for handling the large, sparse nonlinear system with a nonsymmetric matrix that arises from the discretization of the model equation for nonlinear wave evolution. Recently, with favorable stability properties in iteration process, the Bi-CGSTAB method as a variant of the Bi-Conjugate Gradient method has been proposed for solving nonsymmetric linear systems. The iterative method is examined in nonlinear wave analyses on the step-type reef in two-dimensions. Numerical experiments indicate efficiency of Bi-CGSTAB, preconditioned with incomplete Choleski decomposition. For the algorithm to converge by iterative computation it is important to make the diagonal blocks of the coefficient matrix be M-matrix. Because of the linear degree of convergence of the nonlinear system, however, a successful acceleration scheme is required for further development.
紀要論文
http://purl.org/coar/resource_type/c_6501
琉球大学工学部
VoR
http://hdl.handle.net/20.500.12000/2218
0389-102X
AN0025048X
琉球大学工学部紀要
55
25
17
jpn
open access