Three-dimensional boundary inverse heat conduction problem for regular coordinate systems

Computational methods for the solution of boundary inverse heat conduction problems are widely used at present in experimental investigations of thermal processes between the solids and the environment. To solve three-dimensional ill-posed boundary inverse problems, an iterative regularization method is suggested in this study. The method is based on gradient methods of the first kind, and on the principle of the residual. The accuracy of the solution of inverse problems obtained by the suggested algorithms is discussed. The application of the considered method is demonstrated as the reconstruction of spatial-time heat flux distribution over the thermal protection of the spacecraft equipment.