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semidiscrete error estimates

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Analysis and finite element error estimates for the velocitytracking problem for Stokes flows via a penalized formulation
Konstantinos Chrysafinos
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 10 / Issue 4 / October 2004

Published online by Cambridge University Press:

15 October 2004, pp. 574-592

Print publication:

October 2004
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A distributed optimal control problem for evolutionary Stokes flows isstudied via a pseudocompressibility formulation. Several results concerning the analysis of the velocity tracking problem are presented. Semidiscrete finite element error estimates for the correspondingoptimality system are derived based on estimates for the penalizedStokes problem and the BRR (Brezzi-Rappaz-Raviart) theory. Finally, theconvergence of the solutions of the penalized optimality systems as ε → 0 is examined.