Inverse shape and surface heat transfer coefficient identification

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摘要

In this paper, an inverse geometric problem for the modified Helmholtz equation arising in heat conduction in a fin is considered. This problem which consists of determining an unknown inner boundary of an annular domain and possibly its surface heat transfer coefficient from one or two pairs of boundary Cauchy data (boundary temperature and heat flux) is solved numerically using the meshless method of fundamental solutions (MFS). A nonlinear unconstrained minimisation of the objective function is regularised when noise is added to the input boundary data. The stability of the numerical results is investigated for several test examples with respect to noise in the input data and various values of the regularisation parameters.

论文关键词:Modified Helmholtz’s equation,Inverse problem,Method of fundamental solutions,Regularisation,Heat transfer coefficient

论文评审过程:Received 12 July 2011, Revised 29 September 2011, Available online 4 November 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.10.020