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In this project, we present some applications of Isogeometric Analysis in stationary fluid dynamics problems. Specially, we focus on the numerical solution of the Stokes and Navier-Stokes equations and the fulfillment of the inf-sup conditions, specifically by computing the Brezzi and Babuška inf-sup constants. The Isogeometric Taylor-Hood spaces are presented and the stability of the Stokes and Navier-Stokes equations has been numerically tested in a variety of settings, including smooth NURBS basis functions and the multiple patches case.
Annalisa Buffa, Pablo Antolin Sanchez, Emiliano Cirillo