Regularization of the noisy Cauchy problem solution approximated by an energy-like method


Correspondence to: T. N. Baranger, Université de Lyon, CNRS, Université Lyon 1, LaMCoS UMR5259, INSA-Lyon.



This paper focuses on the regularization of noisy Cauchy data and unknown boundary conditions approximated by the energy-like minimization method. After providing considerations necessary for the numerical analysis leading to an adequate stopping criterion for the minimization process, we describe the denoising procedure proposed. Numerical experiments involving singular data are presented.Copyright © 2013 John Wiley & Sons, Ltd.