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This paper is concerned with the analysis of the inf-sup condition arising inthe stationary Stokes problem in exterior domains. We deduce values of theconstant in the stability lemma, which yields fully computable estimates of thedistance to the set of divergence free fields defined in exterior domains.Using these estimates we obtain computable majorants of the difference betweenthe exact solution of the Stokes problem in exterior domains and anyapproximation from the admissible (energy) class of functions satisfying theDirichlet boundary condition exactly.

The Stationary Stokes Problem in Exterior Domains: Estimates of the Distance to Solenoidal Fields and Functional A Posteriori Error Estimates