Adaptive discretization of stationary and incompressible Navier–Stokes equations by stabilized finite element methods

We have derived a residual-based a posteriori error estimator for a stabilized finite element discretization of the stationary incompressible Navier–Stokes equations with general boundary conditions. An adaptive algorithm based on this error estimator is discussed and tested on some analytical and physical problems. When possible we study precisely the behaviour of the effectivity index.

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