Transactions of the Japan Society of Mechanical Engineers Series C
Online ISSN : 1884-8354
Print ISSN : 0387-5024
An Attempt to Optimize the Parameters in Tchebycheff Iteration Method
Masahide NAKAMURAKeita SASAKITadashi KOBAYASHI
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1997 Volume 63 Issue 605 Pages 99-104

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Abstract

The purpose of this study is to develop a system that can regulate the parameters of Tchebycheff iteration method in order to accelerate the convergence of the approximate solution toward the exact solution. A self-tuning regulator was adopted in the present study and the optimum parameters in the Tchebycheff iteration method are determined according to the results of identification. The diffusion problem with the convection term was used as a test problem and the present method was compared with the CGS method, which is regarded as one of the most efficient methods. The memory capacity required for the present method was much smaller than that of the CGS method, but the calculation results showed that the present method required almost the same CPU time as the CGS method.

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