Subsidence diffusion-convection. II: The inverse problem (Q704493)

Considering the results of Part I of this study [see Zbl 1067.74546] concerning the direct subsidence diffusion-convection (DSDC) problem, we present in this paper the inverse SDC (ISDC) problem. For the regularization of the original ill-posed problem we use and compare two kinds of regularization proposals: Lions \(u_{\xi\xi\xi\xi}\)-method and the presently proposed \(u_{\xi\xi ss}\)-method. Stability in the sense of the von Neumann condition is ensured and a first approach to convergence is done in the sense of the norm of the amplification factor. Another convergence study is given in terms of the truncation error.