| 凹角区域双曲外问题的精确人工边界条件 |
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| 引用本文： | 艾焰,杜其奎,冯崇岭.凹角区域双曲外问题的精确人工边界条件[J].高校应用数学学报(A辑),2007,22(4):447-454. |
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| 作者姓名： | 艾焰 杜其奎 冯崇岭 |
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| 作者单位： | 1. 南京师范大学,数学与计算机科学学院,江苏南京,210097
2. 淮北煤炭师范学院,计算机科学系,安徽淮北,235000 |
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| 基金项目： | 国家自然科学基金(10471067)，江苏省基础研究计划(自然科学基金)(BK2006215) |
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| 摘 要： | 研究一类凹角区域双曲型外问题的数值方法.先用Newmark方法对时间进行离散化,在每个时间步求解一个椭圆外问题.然后引入人工边界,并获得精确的人工边界条件.给出半离散化问题的变分问题,证明了变分问题的适定性,并给出了误差估计.最后给出数值例子,以示该方法的可行性与有效性.
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| 关 键 词： | 凹角区域 Newmark方法 精确人工边界条件 误差分析 外问题 |
| 文章编号： | 1000-4424（2007）04-0447-08 |
| 收稿时间： | 2006-07-12 |
| 修稿时间： | 2006年7月12日 |
Exact artificial boundary condition for the exterior hyperbolic problems with a concave angle |
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| AI Yan,DU Qi-kui,FENG Chong-ling.Exact artificial boundary condition for the exterior hyperbolic problems with a concave angle[J].Applied Mathematics A Journal of Chinese Universities,2007,22(4):447-454. |
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| Authors: | AI Yan DU Qi-kui FENG Chong-ling |
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| Institution: | 1. School of Math. and Comput. Sci., Nanjing Normal Univ., Nanjing 210097, China 2. Dept. of Comput. Sci., Huaibei Coal Mining Teachers College, Huaibei 23500, China |
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| Abstract: | The numerical method for the exterior hyperbolic problems with a concave angle domain is investigated.The governing equation is first discreted in time by Newmark method,leading to a time-stepping scheme,where an exterior elliptic problem has to be solved in each time step.Then an artificial boundary is introduced,an exact artificial boundary condition is obtained.The variational problem of semi-discrete problem is given,the well-posedness of the variational problem is proved,and some error estimates are presented.Finally,some numerical examples are presented to demonstrate the performance of the method. |
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| Keywords: | concave domain Newmark method exact artificial boundary condition error analysis exterior problem |
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