An improved iteration regularization method and application to reconstruction of dynamic loads on a plate |
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Authors: | Linjun Wang Xu HanJiujiu Chen |
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Affiliation: | a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha City 410082, PR Chinab College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China |
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Abstract: | 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. |
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Keywords: | Load identification Ill-posed problems General source conditions Iteration regularization |
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