TY - JOUR
T1 - A Posteriori Error Estimates of $hp$-FEM for Optimal Control Problems
AU - W. Gong, W. Liu & N. Yan
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 48
EP - 69
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/673.html
KW - $hp$-finite element method, optimal control problem, a posteriori error estimates.
AB - <p style="text-align: justify;">In this paper, we investigate a posteriori error estimates of the $hp$-finite element method for a distributed convex optimal control problem
governed by the elliptic partial differential equations. A family of weighted
a posteriori error estimators of residual type are formulated. Both reliability
and efficiency of the estimators are analyzed.</p>