Analysis and finite element error estimates for the velocity tracking problem for Stokes flows a penalized formulation
Konstantinos Chrysafinos (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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A distributed optimal control problem for evolutionary Stokes flows is studied 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...