| 波动方程外区域问题基于自然边界归化的区域分解算法(英文) |
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| 引用本文： | 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(英文)[J]. 应用数学, 2001, 14(2): 8-12 |
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| 作者姓名： | 赵礼峰 杜其奎 |
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| 作者单位： | 1. 淮北煤炭师范学院数学系,
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, |
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| 基金项目： | The Project in part Supported by National Natural Science Foundation of China(No. 19701001 ). |
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| 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 ,并对圆外区域研究了压缩因子
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| 关 键 词： | 波动方程 自然边界归化 区域分解算法 外问题 |
| 文章编号： | 1001-9847(2001)02-0008-05 |
| 修稿时间： | 2000-09-30 |
A Domain Decomposition Method Based on Natural Boundary Reduction for Exterior Wave Problems |
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| ZHAO Li feng ,DU Qi kui. A Domain Decomposition Method Based on Natural Boundary Reduction for Exterior Wave Problems[J]. Mathematica Applicata, 2001, 14(2): 8-12 |
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| Authors: | ZHAO Li feng DU Qi kui |
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| Affiliation: | ZHAO Li feng 1,DU Qi kui 2 |
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| Abstract: | 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 given. The contraction factor for exterior circular domain is also discussed. Numerical results are presented, which show the effectiveness of our method. |
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| Keywords: | Wave equation Natural boundary reduction Domain decomposition method(DDM) Exterior problem |
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