@Article{IJNAM-8-48, author = {W. Gong, W. Liu and N. Yan}, title = {A Posteriori Error Estimates of $hp$-FEM for Optimal Control Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {1}, pages = {48--69}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/673.html} }