Weighted Reproducing Kernel Collocation Method Based on Error Analysis for Solving Inverse Elasticity Problems

Judy Ping Yang, W. C. Hsin

研究成果: Article同行評審

13 引文 斯高帕斯(Scopus)

摘要

For inverse problems equipped with incomplete boundary conditions, a simple solution strategy to obtain approximations remains a challenge in the fields of engineering and science. Based on our previous study, the weighted reproducing kernel collocation method (W-RKCM) shows optimal convergence in solving inverse Cauchy problems. As such, this work further introduces the W-RKCM to solve inverse problems in elasticity. From mathematical error estimate and numerical convergence study, it is shown that the weighted least-squares formulation can properly balance the errors in the domain and on the boundary. By comparing the approximations obtained by W-RKCM with those obtained by the direct collocation method, the reproducing kernel shape function can retain the locality without using a large support size, and the corresponding approximations exhibit extremely high solution accuracy. The stability of the W-RKCM is demonstrated by adding noise on the boundary conditions. This work shows the efficacy of the proposed W-RKCM in solving inverse elasticity problems as no additional technique is involved to reach the desired solution accuracy in comparison with the existing methods in the literature.
原文American English
頁(從 - 到)3477-3497
頁數21
期刊Acta Mechanica
230
發行號10
DOIs
出版狀態Published - 10月 2019

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