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 with respect to existing ones is the fact that it always converges to the physical solution, even for singular ones. We have per...
| Autores: | , , |
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| Formato: | informe técnico |
| Fecha de publicación: | 2010 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/15755 |
| Acesso em linha: | https://hdl.handle.net/2117/15755 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hydrodynamics Hidrodinàmica 76E Hydrodynamic stability Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Resumo: | In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the fact that it always converges to the physical solution, even for singular ones. We have performed a detailed stability and convergence analysis of the formulation in a simplified setting. From the convergence analysis, we infer that a particular type of meshes with a macro-element structure is needed, which can be easily obtained after a straight modification of any original mesh. A detailed set of numerical experiments have been performed in order to validate our approach. |
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