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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Wang, Linjun^1,2  Han, Xu¹  Liu, Jie¹  Chen, Jiujiu¹ 

[1] Hunan Univ, Coll Mech & Automot Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

关键词: Load identification;    III-posed problems;    General source conditions;    Iteration regularization;   

DOI  :  10.1016/j.cam.2011.02.034

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free