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://doi.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.