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超松弛因子最佳值的确定方法
引用本文:毛东生.超松弛因子最佳值的确定方法[J].北京交通大学学报(自然科学版),1987(4).
作者姓名:毛东生
作者单位:北方交通大学机械工程系
摘    要:在数值解法中,普遍采用有限差分和有限单元法,两种程序所得结果都是一个待解的线性或非线性矩阵方程。超松弛迭代解法不仅算法语言简明,而且具有加速迭代收敛的功能。本文通过两维稳态导热有限单元法的实例分析,给出了确定超松弛因子最佳值的一种简单方法。

关 键 词:迭代法  超松弛

A Simple Method to Speed up the Convergency in Iterative Solution
Mao Dongsheng.A Simple Method to Speed up the Convergency in Iterative Solution[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1987(4).
Authors:Mao Dongsheng
Institution:Mao Dongsheng
Abstract:Among the numerical methods.both of Finite-Difference and Finite-Element are used very popularly,Results of their programs are a set of linear equations or non-linear equations to be solved,The Over-Relaxation method is not only convenient and efficient method but also can speed up the convergency in the procedure of solution, In this paper,we provide a simple method to determine the optimum value of the Over-Relaxation factor and show an example through a Finite-Element programs of 2-dimensional steady state conduction problem.
Keywords:iterative solution  over-relaxation
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