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No. 55 (1998/03) >

 
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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