Memoirs of the Faculty of Engineering, Okayama University
Published by Faculty of Enginerring, Okayama University

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Memoirs of the School of Engineering, Okayama University

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Estimation of the Number of Iterations for Detinite Convergence Condition by Use of the Gauss-Seidel Method

Taniguchi Takeo
Kanei Toshio
Abstract
In this investigation the estimation method of the number of iterations for definite convergence condition by use of the Gauss-Seidel method applied for a set of linear equations which is obtained from the finite element analysis (or the finite difference analysis) of any rectangular area subdivided into N*M is proposed. Though the number of iterations can be obtained by using the eigenvalue of the governing equations, the proposed method does not require the eigenvalue but only the values of Nand M. Numerical experiments on this estimation method clarify that the estimated values are within the error bound of 10%.
ISSN
0475-0071
NCID
AA00733903