Liu, Wenbin; Yan, Ningning A posteriori error estimates for control problems governed by Stokes equations. (English) Zbl 1028.49025 SIAM J. Numer. Anal. 40, No. 5, 1850-1869 (2002). Summary: 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. Cited in 67 Documents MSC: 49M25 Discrete approximations in optimal control 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35Q30 Navier-Stokes equations 49M15 Newton-type methods 49J20 Existence theories for optimal control problems involving partial differential equations Keywords:distributed optimal control; finite element approximation; adaptive finite element methods; a posteriori error estimates; Stokes equations PDFBibTeX XMLCite \textit{W. Liu} and \textit{N. Yan}, SIAM J. Numer. Anal. 40, No. 5, 1850--1869 (2002; Zbl 1028.49025) Full Text: DOI