On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments h...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/17188 |
| Acceso en línea: | https://hdl.handle.net/2117/17188 https://dx.doi.org/10.1016/j.jcp.2012.09.031 |
| Access Level: | acceso abierto |
| Palabra clave: | Magnetohydrodynamics--Mathematical models Magnetohydrodynamics Finite elements Singular solutions Stabilized finite element methods Magnetohidrodinàmica -- Models matemàtics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Àrees temàtiques de la UPC::Física::Física de fluids |
| Sumario: | In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach. |
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