TY - JOUR
T1 - Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity
AU - T. Feng, M. Gulliksson & W. Liu
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 17
EP - 32
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/754.html
KW - Parameter estimation, finite element approximation, adaptive finite element methods, a posteriori error estimates, linear elasticity.
AB - <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>