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Journal articles
A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
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. © 2010 IOP Publishing Ltd.
https://hal-ensta-paris.archives-ouvertes.fr//hal-00873058
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, October 15, 2013 - 12:03:18 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, October 15, 2013 - 12:03:18 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
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