Solving the Inverse Heat Conduction Problem with Multi-Variables
This paper presents a general numerical model to solve non-linear inverse heat conduction problems with multi-variables which include thermal parameters and boundary conditions, and can be identified singly or simultaneously. The direct problems are numerically modeled via FEM, facilitating to sensitivity analysis that is required in solving inverse problems via a least-square based CGM (Conjugate Gradient Method). Inhomogeneous distribution of parameters is considered, and a number of numerical examples are given to illustrate the work proposed.
Q. W. Xue et al., "Solving the Inverse Heat Conduction Problem with Multi-Variables", Advanced Materials Research, Vols. 168-170, pp. 195-199, 2011