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.
@article{arxiv.1910.05122,
title = {A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures},
author = {Alejandro Allendes and Enrique Otarola and Abner J. Salgado},
journal= {arXiv preprint arXiv:1910.05122},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1806.06009