@Article{IJNAM-6-335, author = {L. Ge, W. Liu and D. Yang}, title = {$L^2$ Norm Equivalent a Posteriori Error Estimate for a Constrained Optimal Control Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {2}, pages = {335--353}, abstract = {

Adaptive finite element approximation for a constrained optimal control problem is studied. A posteriori error estimators equivalent to the $L^2$ norm of the approximation error are derived both for the state and the control approximation, which are particularly suitable for an adaptive multi-mesh finite element scheme and applications where $L^2$ error is more important. The error estimators are then implemented and tested with promising numerical results.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/771.html} }