首都师范大学学报（自然科学版）2012，Vol.33Issue(2)：6-11,6.
无界区域上平面弹性方程的D-N交替算法及其收敛性
D- N Alternating Algorithm and Its Convergence for The Problem of Plane Elasticity Equation on Unbounded Domains
倪璐 1王寿城1
作者信息
- 1. 合肥工业大学数学学院,安徽合肥230009
- 折叠
摘要
Abstract
In this paper, a non-overlapping domain decomposition method by using of the finite element method and the natural boundary reduction is investigated for solving problems of the plane elasticity equation. This method is very effective for solving the plane elasticity equation over unbounded domains especially. The D - N alternating algorithm ( including continuous and discrete form) and its convergence analysis are presented, with proper selection of the relaxation factor it is proved that the convergence rate of the algorithm is geometrical.关键词
无界区域/区域分解算法/平面弹性方程/D-N交替算法/收敛性Key words
unbounded domain/ domain decomposition algorithm/ plane elasticity equation/ D - N alternating algorithm/ convergence分类
数理科学引用本文复制引用
倪璐,王寿城..无界区域上平面弹性方程的D-N交替算法及其收敛性[J].首都师范大学学报（自然科学版）,2012,33(2):6-11,6.
