Multiscale Parameter Identification Method for Three Dimension Steady Heat Transfer Model of Composite Materials
Tang Wei Liu, He Xu, Xue Qiu, Xiao Bin Shi · Advanced materials research · 2013
In this paper, for heat conductivity identification of three dimension steady heat transfer model of composite materials, a new hybrid Tikhonov regularization mixed multiscale finite-element method is present. First the mathematical models of the forward and the coefficient inverse problems are discussed. Then the forward model is solved by mixed multiscale FEM which utilizes the effects of fine-scale heterogeneities through basis functions formulation computed from local heat transfer problems. At last the numerical approximation of inverse coefficient problem is obtained by Tikhonov regularization method.