摘要
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.
出处
《复旦学报(自然科学版)》
CAS
CSCD
北大核心
1994年第6期601-607,共7页
Journal of Fudan University:Natural Science
基金
国家自然科学基金
国家基础性研究重大关键项目
关键词
区域分裂
收敛
椭圆型方程
D-N迭代
irichlet-Neumann iteration,domain decomposition,convergence,elliptic partial differential equation