摘要
本文以二维波动方程为例 ,研究基于自然边界归化的一种区域分解算法 .首先将控制方程对时间进行离散化 ,得到关于时间步长离散化格式 ,对每一时间步长求解一椭圆型外问题 ;然后引入两条人工边界 ,提出了 Schwarz交替算法 ,给出了算法的收敛性 。
A new domain decomposition method based on natural boundary reduction is developed for the solution of time dependent exterior wave problems. The two dimensional scalar wave equation is taken as a model to illustrate the method. The governing equation is first discretized in time, leading to time stepping scheme, where a exterior elliptic problem has to be solved in each time step. Two artificial boundaries are introduced. The Schwarz alternating method is proposed. The convergence of the algorithm is gi...
出处
《应用数学》
CSCD
北大核心
2001年第2期8-12,共5页
Mathematica Applicata
基金
The Projectin part Supported by National Natural Science Foundation of China( No.1 970 1 0 0 1 )
关键词
波动方程
自然边界归化
区域分解算法
外问题
Wave equation
Natural boundary reduction
Domain decomposition method（DDM）
Exterior problem
