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二维波动方程部分Dirichlet边界控制正则性的数值分析
A Numerical Approach to the Regularity of 2-D Wave Equation with Partial Dirichlet Boundary Control
【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.
【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.
- 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2005年05期
- 【分类号】O231
- 【被引频次】1
- 【下载频次】97