Poisson方程未知源识别的拟边界正则化方法
发布时间：2019-06-21 13:37
【摘要】：探讨了半带型区域上二维Poisson方程只含有一个空间变量的未知源识别反问题.这类问题是不适定的,即问题的解(如果存在)不连续依赖于测量数据.利用拟边界正则化方法,得到问题的一个正则近似解,并且给出正则解和精确解之间具有H銉ler型误差估计.数值实验表明拟边界正则化方法对于这种未知源识别反问题是非常有效的.
[Abstract]:In this paper, the inverse problem of unknown source identification for two-dimensional Poisson equation with only one spatial variable in semi-band region is discussed. This kind of problem is ill-posed, that is, the solution of the problem (if it exists) does not depend on the measurement data. By using the quasi-boundary regularization method, a regular approximate solution of the problem is obtained, and the error estimation with H 鈮，
本文编号：2504118
[Abstract]:In this paper, the inverse problem of unknown source identification for two-dimensional Poisson equation with only one spatial variable in semi-band region is discussed. This kind of problem is ill-posed, that is, the solution of the problem (if it exists) does not depend on the measurement data. By using the quasi-boundary regularization method, a regular approximate solution of the problem is obtained, and the error estimation with H 鈮，
本文编号：2504118
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