@Article{CiCP-20-4, author = {}, title = {Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition}, journal = {Communications in Computational Physics}, year = {2016}, 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 = {https://global-sci.com/article/80227/numerical-analysis-of-inverse-elasticity-problem-with-signorinis-condition} }