摘要
本文提出一种求解非线性有限元方程的逐层校正迭代法.有关数值分析表明,当网格分划较细,网格分划参数h_j较小时,仅需一次简单的迭代和校正步骤就可满足数值计算的要求,使用该方法的计算复杂性是最佳阶的,即为O(N_j),其中N_j为最细网格层上离散结点变量的数目.
The corrective iterative method at succesive levels is presented in this paper, which is a high efficient numerical method for solving finite element and differencial equations of nonlinear elliptical boundary value problems. The numerical analysis shows that asymptotically only one iterative step and one corrective step at each level is required, the global computing work by this numerical method is of optimal order O(N_j), where N_j is the variable number of the finest level.
出处
《应用数学》
CSCD
北大核心
1993年第2期172-177,共6页
Mathematica Applicata
关键词
非线性方程组
有限元法
迭代法
Finite element method
Numerical methods for solving nonlinear E. B. V.
Iterative methods
MG methods
