期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 64, 期 -, 页码 278-289出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2015.12.016
关键词
Meshless methods; Radial basis functions; Method of fundamental solutions; Inverse heat source problem; Time-dependent heat source problems; Tikhonov regularization (TR); Ill-posed problems
This paper presents a meshless numerical scheme to solve the inverse heat source time dependent problem. Fundamental solutions of heat equations and radial basis functions (RBFs) are used to obtain a numerical solution. Since the coefficient matrix may be ill-conditioned, the Tikhonov regularization (TR) method is employed to solve the resulting system of linear equations. Therefore, the generalized cross validation (GCV) criterion is applied to choose a regularization parameter. The accuracy and efficiency of the proposed method is illustrated by some numerical examples. (C) 2015 Elsevier Ltd. All rights reserved.
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