A problem of boundary condition reconstruction within the mathematical modeling of stationary thermal conductivity

Abstract

The paper explores a mathematical model of stationary heat conductivity within some profile, when boundary conditions are not particularly known and additional conditions onto another boundary are. Besides, heat-transfer properties have simple discontinuities and depend on temperature. Boundary mode reconstruction is based on extension problem with a spatial variable. Stable computational algorithms for numerical solving of the problem have been proposed. Results of a model problem solution are being analyzed.