INTERVAL INVERSE ANALYSIS OF TRANSIENT HEAT CONDUCTION PROBLEM

A general numerical model is presented for the interval inverse transient heat conduction problem with interval parameters. The homotopy method and interval finite element method based on the element and interval extension theory were used. The inverse problem was formulated implicitly as an optimization problem with the homotopy functional of squared residues between calculated and measured quantities. A time stepping scheme was used for transient analysis. An eight-point finite element model was given with interval finite element method based on the element. Single and combined identifications can be carried out for thermal parameters and boundary conditions etc., taking account of inhomogeneity and parameters distribution. Satisfactory numerical validation was given. The results show that the proposed numerical model can be applied to solve the inverse heat conduction problem with interval parameters in a transient state, showing its high computational precision and efficiency.