摘要
In this paper, we investigate an overlapping domain decomposition algorithm for elliptic boundary value problems over an infinite domain with concave angles.The algorithm is constructed, and its convergence is discussed. The finite element method and natural boundary element are alternatively applied to solve a bounded subdomain and a typical unbounded subdomain. It has overcome the difficulty met in standard domain decomposition method for problems with unbounded domains.The convergence rate is analysed in details for a typical domain. Finally, some numerical example are presented to show effectiveness of our method.
In this paper, we investigate an overlapping domain decomposition algorithm
for elliptic boundary value problems over an infinite domain with concave angles.
The algorithm is constructed, and its convergence is discussed. The finite element
method and natural boundary element are alternatively applied to solve a bounded
subdomain and a typical unbounded subdomain. It has overcome the difficulty met
in standard domain decomposition method for problems with unbounded domains.
The convergence rate is analysed in details for a typical domain. Finally some
numerical examples are presented to show effectiveness of our method.
出处
《数值计算与计算机应用》
CSCD
北大核心
2004年第2期90-99,共10页
Journal on Numerical Methods and Computer Applications
基金
南京师范大学自然科学基金
数学与计算机科学学院"211"项目基金
关键词
偏微分方程
边值问题
边界
算法
infinite concave angle domain
domain decomposition algorithm
finite element
exterior problem
