Open AccessAPPLICATION OF FAST AUTOMATIC DIFFERENTIATION TO SOLVING THE INVERSE COEFICIENT PROBLEMS
Author(s) -
Yu. G. Evtushenko,
В. И. Зубов,
A. F. Albu
Publication year - 2020
Publication title -
prikladnaâ matematika i fundamentalʹnaâ informatika
Language(s) - English
Resource type - Journals
ISSN - 2311-4908
DOI - 10.25206/2311-4908-2020-7-1-4-14
Subject(s) - inverse problem , heat flux , boundary value problem , dirichlet distribution , object (grammar) , mathematics , thermal conductivity , inverse , mathematical analysis , value (mathematics) , flux (metallurgy) , boundary (topology) , computer science , thermodynamics , physics , heat transfer , statistics , materials science , geometry , artificial intelligence , metallurgy
The inverse problem under consideration is to determine a temperature-dependent thermal conductivity coefficient from experimental observations of the temperature field in the studied substance and (or) the heat flux on the surface of the object. The study is based on the Dirichlet boundary value problem for the nonstationary heat equation stated in the general n -dimensional formulation. For the numerical solution of the problem an algorithm based on the modern fast automatic differentiation technique is proposed.