A priori and a posteriori error estimates for Navier-Stokes equations applied to incompressible flows
Burda, Pavel, Novotný, Jaroslav, Sousedík, Bedřich, Šístek, Jakub
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We consider the Navier-Stokes equations for the incompressible flow in channels with forward and backward steps. The paper consists of two main parts. In the first part we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. We apply the a posteriori estimates to solve an incompressible flow problem in a domain with corners that cause singularities in the solution. Second part of the paper stands on the result on the...