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

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 نشر من قبل Abner Salgado
 تاريخ النشر 2019
  مجال البحث الهندسة المعلوماتية
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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.



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