Author： Zhang Deyue Zhang Guimin Zheng Enxi
Publisher： IOP Publishing
ISSN： 0266-5611
Source： Inverse Problems, Vol.29, Iss.6, 2013-06, pp. : 65008-65024
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Abstract
This paper is concerned with the Cauchy problem connected with the Laplace equation. We investigate the denseness of harmonic polynomials and propose a numerical method for approximating the solution to the problem. The convergence and stability are analyzed with a suitable choice of the regularization method. Numerical experiments are also presented to show the effectiveness of our method.
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