TY - JOUR
T1 - $L^2$ Norm Equivalent a Posteriori Error Estimate for a Constrained Optimal Control Problem
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 335
EP - 353
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/771.html
KW - Convex optimal control problem, adaptive finite element method, $L^2$ norm equivalent a posteriori error estimate, multi-meshes.
AB - <p style="text-align: justify;">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.</p>