Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition

作者：Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei^*

来源：Communications in Computational Physics, 2016, 20(4): 1045-1070.

DOI：10.4208/cicp.120715.010216a

• Optimal control
• variational inequality
• inverse elastic problem
• finite element
• error estimates
• numerical simulations

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. More-over, 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.

• 出版日期2016-10
• 单位浙江大学