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A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures (1910.05122v1)
Published 9 Oct 2019 in math.NA and cs.NA
Abstract: In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations of the stationary Navier Stokes equations with singular sources on Lipschitz, but not necessarily convex, polygonal domains. Under a smallness assumption on the continuous and discrete solutions, we prove that the devised error estimator is reliable and locally efficient. We illustrate the theory with numerical examples.