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University of the Ryukyus Repository >
Faculty of Engineering >
Bulletin >
Bulletin of the Faculty of Engineering, University of the Ryukyus >
No. 55 (1998/03) >
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| Title | : | 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－ |
| Title alternative | : | Model Equations Combining Full Linear Dispersion With Long Wave Nonlinearity, Part4 - Application of Bi-CGSTAB to sparse nonsymmetric systems - |
| Authors | : | 筒井, 茂明
大木, 洋典 |
| Authors alternative | : | Tsutsui, Shigeaki
Ohki, Hironori |
| Issue Date | : | Mar-1998 |
| Abstract | : | 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. |
| Type Local | : | 紀要論文 |
| ISSN | : | 0389-102X |
| Publisher | : | 琉球大学工学部 |
| URI | : | http://hdl.handle.net/20.500.12000/2218 |
| Citation | : | 琉球大学工学部紀要 no.55 p.17 -25 |
| Appears in Collections | : | No. 55 (1998/03)
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| No55p17.pdf | | 1049Kb | Adobe PDF | View/Open |
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