| 一类高度非线性网格生成方程的迭代求解方法 |
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| 引用本文： | 姚彦忠,袁光伟. 一类高度非线性网格生成方程的迭代求解方法[J]. 数值计算与计算机应用, 2007, 28(4): 306-320 |
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| 作者姓名： | 姚彦忠 袁光伟 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所计算物理实验室,北京,100088
2. 中国工程物理研究院研究生部,北京,100088 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国防科技应用基础研究基金 |
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| 摘 要： | 在[1]中第170页指出,对于变分方法导出的一类高度非线性的守恒型网格生成方程,采用通常的Picard迭代方法无法正确求解.本文构造了一种新的Picard迭代求解方法,数值结果表明这一方法较好地解决了此类方程的求解问题.
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| 关 键 词： | 非线性迭代求解方法 网格生成方程求解 变分网格生成 |
| 修稿时间： | 2006-09-05 |
AN ITERATIVE METHOD FOR SOLVING HIGHLY NONLINEAR GRID GENERATION EQUATIONS |
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| Yao Yanzhong,Yuan Guangwei. AN ITERATIVE METHOD FOR SOLVING HIGHLY NONLINEAR GRID GENERATION EQUATIONS[J]. Journal on Numerical Methods and Computer Applications, 2007, 28(4): 306-320 |
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| Authors: | Yao Yanzhong Yuan Guangwei |
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| Abstract: | For a class of highly nonlinear conservative equations derived from variational grid gener- ation methods,general Picard iterative method cannot solve it correctly.This paper presents a new Picard iterative solution method.Numerical results show that new numerical algo- rithm can solve these equations very well.In the reference [1],developing good numerical algorithms for solving these equations was regarded as an important open problem. |
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| Keywords: | Iterative solution method for nonlinear equation solving grid generation equation Variational grid generation |
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