@Article{JCM-28-645, author = {}, title = {Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {5}, pages = {645--675}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.10-m1016}, url = {http://global-sci.org/intro/article_detail/jcm/8542.html} }