A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures

10/09/2019

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by   Alejandro Allendes, et al.

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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.