TY - JOUR
T1 - Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems
JO - Journal of Computational Mathematics
VL - 5
SP - 645
EP - 675
PY - 2010
DA - 2010/10
SN - 28
DO - http://doi.org/10.4208/jcm.2009.10-m1016
UR - https://global-sci.org/intro/article_detail/jcm/8542.html
KW - Parameter estimation, Finite element approximation, Adaptive finite element
methods, A posteriori error estimate.
AB - <p style="text-align: justify;">In this paper, we study adaptive finite element discretisation schemes for a class of parameter estimation problem. We propose to use adaptive multi-meshes in developing efficient algorithms for the estimation problem. We derive equivalent a posteriori error estimators for both the state and the control approximation, which particularly suit an adaptive multi-mesh finite element scheme. The error estimators are then implemented and tested with promising numerical results.</p>