Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 40, Issue 5, Pages 1850-1869Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036142901384009
Keywords
distributed optimal control; finite element approximation; adaptive finite element methods; a posteriori error estimates; Stokes equations
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In this paper, we derive a posteriori error estimates for the finite element approximation of distributed optimal control problems governed by the Stokes equations. We obtain a posteriori error estimators for both the state and the control approximation in the L-2 norm and the H-1 norm. These estimates can be used to construct reliable adaptive finite element approximation for the control problems.
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