Premium
Regularization of the noisy Cauchy problem solution approximated by an energy‐like method
Author(s) -
Rischette R.,
Baranger T. N.,
Andrieux S.
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4501
Subject(s) - regularization (linguistics) , cauchy distribution , minification , mathematics , energy minimization , noisy data , mathematical optimization , boundary value problem , cauchy problem , computer science , initial value problem , algorithm , mathematical analysis , artificial intelligence , physics , quantum mechanics
SUMMARY 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.