Geodesic
Analysis and finite element error estimates for the velocity tracking problem for Stokes flows via a penalized formulation
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 574-592

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A distributed optimal control problem for evolutionary Stokes flows is studied via a pseudocompressibility formulation. Several results concerning the analysis of the velocity tracking problem are presented. Semidiscrete finite element error estimates for the corresponding optimality system are derived based on estimates for the penalized Stokes problem and the BRR (Brezzi-Rappaz-Raviart) theory. Finally, the convergence of the solutions of the penalized optimality systems as ε→0 is examined.

DOI : 10.1051/cocv:2004021
Classification : 35B37, 65M60, 49J20
Keywords: optimal control, velocity tracking, finite elements, semidiscrete error estimates, Stokes equations, penalized formulation 
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     author = {Chrysafinos, Konstantinos},
     title = {Analysis and finite element error estimates for the velocity tracking problem for {Stokes} flows via a penalized formulation},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {574--592},
     publisher = {EDP-Sciences},
     volume = {10},
     number = {4},
     year = {2004},
     doi = {10.1051/cocv:2004021},
     mrnumber = {2111081},
     zbl = {1072.49021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004021/}
}
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Chrysafinos, Konstantinos. Analysis and finite element error estimates for the velocity tracking problem for Stokes flows via a penalized formulation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 574-592. doi: 10.1051/cocv:2004021

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