A NUMERICAL METHOD FOR THE PROBLEM OF COEFFICIENT IDENTIFICATION OF THE WAVE EQUATION BASED ON A LOCAL OBSERVATION ON THE BOUNDARY
A NUMERICAL METHOD FOR THE PROBLEM OF COEFFICIENT IDENTIFICATION OF THE WAVE EQUATION BASED ON A LOCAL OBSERVATION ON THE BOUNDARY
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一种基于边界局部观测的波动方程系数辨识问题的数值方法
DOI：
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发表时间：
2001
影响因子：
0.6
通讯作者：
K. Shirota
中科院分区：
文献类型：
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作者：
K. Shirota
本文提出了一种基于边界局部观测的标量波动方程系数识别问题的数值算法：利用部分边界上的Dirichlet和Neumann同时边界值来确定未知系数函数。为了找到未知的系数函数，未知的Neumann边界值也被识别。我们将逆问题转化为变分问题。梯度法被用来寻找极小化函数。通过数值实验验证了算法的有效性。
The purpose of this paper is to propose a numerical algorithm for the problem of coefficient identification of the scalar wave equation based on a local observation on the boundary: De- termine the unknown coefficient function with the knowledge of simultaneous Dirichlet and Neumann boundary values on a part of boundary. To find the unknown coefficient function, the unknown Neumann boundary value is also identified. We recast our inverse problem to a variational problem. The gradient method is applied to find the minimizing functions. We confirm the effectiveness of our algorithm by numerical experiments.