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- W2009482684 abstract "In this paper, we introduce a new version of the method of quasi-reversibility to solve the ill-posed Cauchy problems for the Laplace's equation in the presence of noisy data. It enables one to regularize the noisy Cauchy data and to select a relevant value of the regularization parameter in order to use the standard method of quasi-reversibility. Our method is based on duality in optimization and is inspired by the Morozov's discrepancy principle. Its efficiency is shown with the help of some numerical experiments in two dimensions." @default.
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- W2009482684 date "2010-08-16" @default.
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- W2009482684 title "A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data" @default.
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- W2009482684 doi "https://doi.org/10.1088/0266-5611/26/9/095016" @default.
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