International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 4, Pages 195-216
doi:10.1155/S0161171204203271
Identification of a hydrogen transfer model with dynamical boundary conditions
Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, Petrozavodsk 185610, Russia
Received 25 March 2002
Copyright © 2004 Yury V. Zaika. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The nonlinear inverse problem of determining the hydrogen
permeability parameters of stratified materials is considered.
The model includes diffusion, invertible capture and
sorption/desorption processes on surface, which leads to
dynamical boundary conditions. For the concentration impulses
method, the equation of stationary oscillations of concentration
is obtained. Parametric identification scheme of the model is
proposed. Techniques of Fourier series and conjugate equations
are used.