@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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.120715.010216a},
url = {http://global-sci.org/intro/article_detail/cicp/11182.html}
}