Akbas, Mine2021-12-012021-12-012021978-0-7354-4078-40094-243Xhttps://doi.org/10.1063/5.0042578https://hdl.handle.net/20.500.12684/103094th International Conference of Mathematical Sciences (ICMS) -- JUN 17-21, 2020 -- Maltepe Univ, ELECTR NETWORKThis paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L-2 and H-1-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilization.en10.1063/5.0042578info:eu-repo/semantics/openAccessModular grad-divmixed finite element methodmagnetohydrodynamicsConference Object23342-s2.0-85102244474WOS:000664201400065N/AN/A