Extreme Methods for Solving Ill-Posed Problems with Applications to Inverse Heat Transfer Problems

O. M. Alifanov Moscow State Aviation Institute, Moscow, Russia E. A. Artioukhine University of Franche-Comte, France S. V. Rumyantsev Moscow Aviation Institute, Moscow, Russia

This monograph is based on the authors' studies carried out to investigate one of the most promising trends in the theory of ill-posed problems: namely, iterative regularization and its application to inverse heat transfer problems. Effective methods for solving inverse problems have allowed researchers to simplify experiments considerably, and to increase the accuracy and confidence of results in experimental data processing. The authors discuss a broad range of problems concerned with both the theory of regularizing gradient algorithms and peculiarities of their application to the most often encountered inverse problems of reconstruction of external heat fluxes and the identification of mathematical models for heat transfer processes.



306 pages, © 1995