| 二维波动方程部分Dirichlet边界控制正则性的数值分析 |
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| 引用本文： | 殷杰,姚翠珍.二维波动方程部分Dirichlet边界控制正则性的数值分析[J].数学的实践与认识,2005,35(5):190-193. |
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| 作者姓名： | 殷杰 姚翠珍 |
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| 作者单位： | 北京理工大学应用数学系,北京,100081 |
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| 摘 要： | 通过数值方法,研究边界充分(逐段)光滑区域上的二维波动方程在部分Dirichlet边界控制下的正则性问题.数值结果表明:在所选条件下,系统是Salamon-Weiss意义下正则的.
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| 关 键 词： | 波动方程 Dirichlet控制 正则性 |
| 修稿时间： | 2004年8月27日 |
A Numerical Approach to the Regularity of 2-D Wave Equation with Partial Dirichlet Boundary Control |
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| YIN Jie,YAO Cui-zhen.A Numerical Approach to the Regularity of 2-D Wave Equation with Partial Dirichlet Boundary Control[J].Mathematics in Practice and Theory,2005,35(5):190-193. |
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| Authors: | YIN Jie YAO Cui-zhen |
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| Abstract: | This paper deals with the regularity of 2-D wave equation with partial Dirichlet boundary control through numerical methods. The original regularity problem is transformed into a special elliptic boundary value problem to which the algorithm is applied. The numerical results show that the regularity is generally valid for the system. |
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| Keywords: | wave equation Dirichler control regularity |
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