关键词： 自然边界归化原理, 拟线性问题, Dirichlet-Neuman交替算法

Abstract:

Based on the principle of natural boundary reduction,the non overlapping domain decomposition algorithm (Dirichlet-Neumannalternating algorithm) is used to study the quasi linear equations in the long strip region.First,the natural integral equation on the elliptical artificial boundary is obtained;and then,the corresponding iterative algorithm is constructed.According to the characteristics of nonlinear operators,the convergence of the algorithm in continuous and discrete cases is proved,and the corresponding numerical examples are given to illustrate the feasibility of the method.

Key words: principle of natural boundary reduction, quasi linear problem, Dirichlet-Neumann alternate algorithm