Determination of Thermal Parameters via a Homotopy Algorithm
In order to determine thermal parameters of mass concrete, this paper utilizes homotopy technique to solve an inverse transient heat conduction problem with multi-variables. A finite element model facilitating to sensitivity analysis for non-linear direct and inverse problems is derived, and a precise algorithm of time stepping is used in the transient analysis. Numerical validation has been given with an investigation of effects of noise data and initial guess on the results.
Jinglong Bu, Pengcheng Wang, Liqun Ai, Xiaoming Sang, Yungang Li
Q. W. Xue and X. Y. Du, "Determination of Thermal Parameters via a Homotopy Algorithm", Advanced Materials Research, Vols. 287-290, pp. 2452-2455, 2011