@Article{IJNAM-6-17,
author = {T. Feng, M. Gulliksson and W. Liu},
title = {Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {1},
pages = {17--32},
abstract = {<p style="text-align: justify;">In this paper, the Lamé coefficients in the linear elasticity problem
are estimated by using the measurements of displacement. Some a posteriori
error estimators for the approximation error of the parameters are derived, and
then adaptive finite element schemes are developed for the discretization of
the parameter estimation problem, based on the error estimators. The Gauss-Newton method is employed to solve the discretized nonlinear least-squares
problem. Some numerical results are presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/754.html}
}