应用数学2001，Vol.14Issue(2)：8-12,5.
波动方程外区域问题基于自然边界归化的区域分解算法
A Domain Decomposition Method Based on Natural Boundary Reduction for Exterior Wave Problems
赵礼峰 1杜其奎2
作者信息
- 1. 淮北煤炭师范学院数学系,安徽淮北 235000
- 2. 中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京 100080
- 折叠
摘要
Abstract
A new domain decomposition method based on natural boundary reduction is developed forthe solution of time-dependent exterior wave problems. The two-dimensional scalar wave equation istaken as a model to illustrate the method. The governing equation is first discretized in time, leadingto time-stepping scheme, where a exterior elliptic problem has to be solved in each time step. Twoartificial boundaries are introduced. The Schwarz alternating method is proposed. The convergence ofthe algorithm is given. The contraction factor for exterior circular domain is also discussed.Numerical results are presented, which show the effectiveness of our method.关键词
波动方程/自然边界归化/区域分解算法/外问题Key words
Wave equation/Natural boundary reduction/Domain decomposition method(DDM)/Exterior problem分类
数理科学引用本文复制引用
赵礼峰,杜其奎..波动方程外区域问题基于自然边界归化的区域分解算法[J].应用数学,2001,14(2):8-12,5.
