Conductive-radiative heat transfer in a scattering and absorbing medium bounded by two reflecting and radiating plane surfaces is considered. A diffusion model for describing heat transfer is examined. The theorems of existence and uniqueness of a solution of this problem are proved. An iterative procedure for solving radiative-conductive heat transfer problem is proposed.

We apply an iterative method in order to construct a solution to the mean curvature equation for nonparametric surfaces.

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In this paper, we present a generic validation tool, called FMona. We illustrate its use through the expression of iterative and abstraction methods. These methods are applied for the validation of infinite or parameterized space problems. We propose two techniques to enhance iterative methods by accelerating their convergence. These techniques are expressed in FMona and applied on some examples.