Thermal Properties Identification Employing The Nelder-Mead and Hooke-Jeeves Algorithms Within The Topographical Global Optimization Technique

Abstract

The solution of the heat conduction equation in cartesian coordinates yields the temperature profile T(x, y, z) for any given time t [1]. This is the direct problem. Now suppose that some - or all - of that properties and conditions are unknown, but experimental data of the temperature profile is available, one may then try to estimate the unknowns. This is the inverse problem. [...]