期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 42, 期 15, 页码 4338-4351出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2005.01.005
关键词
meshless method; method of fundamental solutions; Cauchy problem; functionally graded materials (FGMs); regularization; inverse problem
类别
The application of the method of fundamental solutions to the Cauchy problem for steady-state heat conduction in two-dimensional functionally graded materials (FGMs) is investigated. The resulting system of linear algebraic equations is ill-conditioned and, therefore, regularization is required in order to solve this system of equations in a stable manner. This is achieved by employing the zeroth-order Tikhonov functional, while the choice of the regularization parameter is based on the L-curve method. Numerical results are presented for both smooth and piecewise smooth geometries. The convergence and the stability of the method with respect to increasing the number of source points and the distance between the source points and the boundary of the solution domain, and decreasing the amount of noise added into the input data, respectively, are analysed. (c) 2005 Elsevier Ltd. All rights reserved.
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