A comparison of some inverse methods for estimating the initial condition of the heat equation

✍ Scribed by Wagner Barbosa Muniz; Haroldo F. de Campos Velho; Fernando Manuel Ramos

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 780 KB
• Volume: 103
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00249-0

✦ Synopsis

In this work we analyze two explicit methods for the solution of an inverse heat conduction problem and we confront them with the least-squares method, using for the solution of the associated direct problem a classical finite difference method and a method based on an integral formulation. Finally, the Tikhonov regularization connected to the least-squares criterion is examined. We show that the explicit approaches to this inverse heat conduction problem will present disastrous results unless some kind of regularization is used.