On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy

被引：0
作者：
Nguyen Huy Tuan
Binh Thanh Tran
Le Dinh Long
机构：
[1] Ton Duc Thang University,Faculty of Mathematics and Statistics
[2] Sai Gon University,Department of Mathematics and Applications
[3] Institute for Computational Science and Technology,Environmental Science Lab
来源：
Advances in Difference Equations | / 2014卷
关键词：
Poisson equation; Cauchy problem; ill-posed problem; convergence estimates;
D O I：
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学科分类号：
摘要：
In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data function. Using a new method, we regularize the given problem and obtain some new results. Two numerical examples are given to illustrate the effectiveness of our method.
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