Simultaneous identification of two coefficients in a diffusion equation
A. Avdeev, E. Goryunov, M.(Jr.) Lavrentiev, R. Spigler
Issue: 5
, Уear of publication: 1999
Serial edition: Bulletin of the Novosibirsk Computing Center. Ser., Mathemaical Modeling in Geophysics
Pages: 1-19
Abstract
An algorithm for the simultaneous determination of two coefficients in an inverse problem for equations of the parabolic type is presented. The model under investigation has been proposed in the literature to describe the long-time coastal profile evolution. The iterative inversion procedure is based on the minimization of a suitable cost functional. Such a functional is considered in terms of the Laplace transforms of the solution to the original dynamical problem. Results of numerical tests are also shown to illustrate the performance of the algorithm.