求解Laplace方程Cauchy问题的磨光化方法[EB/OL]
北京:中国科技论文在线
给数值求解带来极大的困难
本文给出一种磨光化方法
) 摘要: Laplace方程的Cauchy问题是一类严重的不适定问题
solution and its approximation is given
The choices of mollification parameter for a priori and a posteriori are discussed respectively
Numerical examples show that the method works effectively
Keywords: Cauchy problem for Laplace equation, Ill-posed problem, Mollification method
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最后给出数值例子验证了这一方法的有效性
关键词: Laplace方程Cauchy问题
磨光化方法
Li Zhenping
) Abstract: In this paper, we consider a Cauchy problem for the Laplace equation, which is a classical example of ill-posed problem
To solve the problem numerically, a mollification method is considered
Error estimate between the exact