Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-673
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 48–69
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: $hp$-finite element method optimal control problem a posteriori error estimates.