Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation

被引：90
作者：
Hon, YC
Wei, T
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu Province, Peoples R China
来源：
INVERSE PROBLEMS | 2001年 / 17卷 / 02期
关键词：
D O I：
10.1088/0266-5611/17/2/306
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the highly ill posed Cauchy problem for the Laplace equation is transformed to a classical moment problem whose numerical approximation can be achieved. Proofs on its convergence and stability estimates are given based on the Backus-Gilbert algorithm. For numerical verification, several examples which include random noise in the initial Cauchy data are presented.
引用
收藏
页码：261 / 271
页数：11
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