P 1 finite element methods for an elliptic optimal control problem with pointwise state constraints
Author:
Affiliation:
1. Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA, USA
2. Universität Wien, Fakultät für Mathematik, Oskar-Morgenstern-Platz 1, Wien, Austria
Abstract
Funder
National Science Foundation
Austrian Science Fund
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Computational Mathematics,General Mathematics
Link
http://academic.oup.com/imajna/article-pdf/40/1/1/31786598/dry071.pdf
Reference50 articles.
1. $L^\infty $-error estimates on graded meshes with application to optimal control;Apel;SIAM J. Control Optim.,2009
2. Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains;Apel;Math. Methods Appl. Sci.,1996
3. Direct and inverse error estimates for finite elements with mesh refinements;Babuška;Numer. Math.,1979
4. Primal-dual strategy for state-constrained optimal control problems;Bergounioux;Comput. Optim. Appl.,2002
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