Subsidence diffusion–convection. II. The inverse problem Original Research Article

Considering the results of Part I of this study 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 uξξξξ-method and the presently proposed uξξss-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.