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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2013

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

Résumé

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.

Dates et versions

hal-00828129 , version 1 (30-05-2013)

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Romain Rischette, Thouraya Baranger, Stéphane Andrieux. Regularization of the noisy Cauchy problem solution approximated by an energy-like method. International Journal for Numerical Methods in Engineering, 2013, pp.n/a--n/a. ⟨10.1002/nme.4501⟩. ⟨hal-00828129⟩
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