子区域不精确求解的Dirichlet－Neumann迭代法

The Dirichlet-Neumann iterative method withinexact solver on one subdomain

应用Ｄ－Ｎ迭代法求解线性椭圆边值问题时，每一步要求解一个Ｄｉｒｉｃｈｌｅｔ问题和一个混合问题．考虑不精确求解混合问题，提出一算法，在合理的假设条件下，得到不依赖于网格参数的收敛因子．

When Dirichlet-Neumann iterative method is used for solving linearelliptic boundary value problem,one Dirichlet problem solver and one mixed problem solver are needed in each step.In this paper an algorithm with inexact mixedproblem solver is proposed,under rational hypothesis,a convergence factor whichis independent of mesh size is obtained.