A Numerical Study of a First Order Modular Grad-Div Stabilization for the Magnetohydrodynamics Equations
| dc.contributor.author | Akbas, Mine | |
| dc.date.accessioned | 2021-12-01T18:47:33Z | |
| dc.date.available | 2021-12-01T18:47:33Z | |
| dc.date.issued | 2021 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | 4th International Conference of Mathematical Sciences (ICMS) -- JUN 17-21, 2020 -- Maltepe Univ, ELECTR NETWORK | en_US |
| dc.description.abstract | This 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. | en_US |
| dc.identifier.doi | 10.1063/5.0042578 | |
| dc.identifier.isbn | 978-0-7354-4078-4 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopus | 2-s2.0-85102244474 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.1063/5.0042578 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/10309 | |
| dc.identifier.volume | 2334 | en_US |
| dc.identifier.wos | WOS:000664201400065 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Akbas, Mine | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Inst Physics | en_US |
| dc.relation.ispartof | Fourth International Conference Of Mathematical Sciences (Icms 2020) | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Modular grad-div | en_US |
| dc.subject | mixed finite element method | en_US |
| dc.subject | magnetohydrodynamics | en_US |
| dc.title | A Numerical Study of a First Order Modular Grad-Div Stabilization for the Magnetohydrodynamics Equations | en_US |
| dc.type | Conference Object | en_US |
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