An improved iteration regularization method and application to reconstruction of dynamic loads on a plate

An improved iteration regularization method and application to reconstruction of dynamic loads on a plate
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改进的迭代正则化方法及其在板动载荷重构中的应用

DOI:
10.1016/j.cam.2011.02.034
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发表时间:
2011-05-15
影响因子:
2.4
通讯作者:
Chen, Jiujiu
Chen, Jiujiu
中科院分区:
数学2区
文献类型:
--
作者:
Wang, Linjun;Han, Xu;Chen, Jiujiu

文献摘要

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We present an improved iteration regularization method for solving linear inverse problems. The algorithm considered here is detailedly given and proved that the computational costs for the proposed method are nearly the same as the Landweber iteration method, yet the number of iteration steps by the present method is even less. Meanwhile, we obtain the optimum asymptotic convergence order of the regularized solution by choosing a posterior regularization parameter based on Morozov's discrepancy principle, and the present method is applied to the identification of the multi-source dynamic loads on a surface of the plate. Numerical simulations of two examples demonstrate the effectiveness and robustness of the present method. (C) 2011 Elsevier B.V. All rights reserved.