Volume 20, Issue 4
Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition

Cong Zheng, Xiaoliang Cheng & Kewei Liang

Commun. Comput. Phys., 20 (2016), pp. 1045-1070.

Published online: 2018-04

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  • Abstract

An optimal control problem is considered to find a stable surface traction, which minimizes the discrepancy between a given displacement field and its estimation. Firstly, the inverse elastic problem is constructed by variational inequalities, and a stable approximation of surface traction is obtained with Tikhonov regularization. Then a finite element discretization of the inverse elastic problem is analyzed. Moreover, the error estimation of the numerical solutions is deduced. Finally, a numerical algorithm is detailed and three examples in two-dimensional case illustrate the efficiency of the algorithm.

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@Article{CiCP-20-1045, author = {}, title = {Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition}, journal = {Communications in Computational Physics}, year = {2018}, volume = {20}, number = {4}, pages = {1045--1070}, abstract = {

An optimal control problem is considered to find a stable surface traction, which minimizes the discrepancy between a given displacement field and its estimation. Firstly, the inverse elastic problem is constructed by variational inequalities, and a stable approximation of surface traction is obtained with Tikhonov regularization. Then a finite element discretization of the inverse elastic problem is analyzed. Moreover, the error estimation of the numerical solutions is deduced. Finally, a numerical algorithm is detailed and three examples in two-dimensional case illustrate the efficiency of the algorithm.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.120715.010216a}, url = {http://global-sci.org/intro/article_detail/cicp/11182.html} }
TY - JOUR T1 - Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition JO - Communications in Computational Physics VL - 4 SP - 1045 EP - 1070 PY - 2018 DA - 2018/04 SN - 20 DO - http://dor.org/10.4208/cicp.120715.010216a UR - https://global-sci.org/intro/article_detail/cicp/11182.html KW - AB -

An optimal control problem is considered to find a stable surface traction, which minimizes the discrepancy between a given displacement field and its estimation. Firstly, the inverse elastic problem is constructed by variational inequalities, and a stable approximation of surface traction is obtained with Tikhonov regularization. Then a finite element discretization of the inverse elastic problem is analyzed. Moreover, the error estimation of the numerical solutions is deduced. Finally, a numerical algorithm is detailed and three examples in two-dimensional case illustrate the efficiency of the algorithm.

Cong Zheng, Xiaoliang Cheng & Kewei Liang. (2020). Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition. Communications in Computational Physics. 20 (4). 1045-1070. doi:10.4208/cicp.120715.010216a
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