Regularization strategy for the Cauchy problem of Laplace’s equation from the viewpoint of regularization theory |
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| Authors: | Ailin Qian Jianfeng Mao |
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| Institution: | School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, Hubei, China |
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| Abstract: | Within the framework of the regularization theory, a spectral regularization method is introduced and analyzed. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable. |
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| Keywords: | ill-posed problems Cauchy problem regularization error estimate spectral methods |
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