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.
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. It1 the reference [1], developing good numerical algorithms for solving these equations was regarded as an important open problem.
出处
《数值计算与计算机应用》
CSCD
2007年第4期306-320,共15页
Journal on Numerical Methods and Computer Applications
基金
国家重点基础研究项目(2005CB321703)
国防基础科研项目(A1520070074)资助
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
Iterative solution method for nonlinear equation, solving grid generationequation, Variational grid generation
