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Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics

dc.contributor.authorBadia, Santiago
dc.contributor.authorCodina, Ramon
dc.contributor.authorPlanas Badenas, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.date.accessioned2013-02-15T16:51:15Z
dc.date.available2013-02-15T16:51:15Z
dc.date.created2012
dc.date.issued2012
dc.identifier.citationBadia, S.; Codina, R.; Planas, R. "Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics". 2012.
dc.identifier.urihttp://hdl.handle.net/2117/17802
dc.description.abstractIn this work, we analyze a recently proposed 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 when it is singular. 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.
dc.format.extent22 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshMagnetohydrodynamics--Mathematical models
dc.subject.othermagnetohydrodynamics
dc.subject.otherfinite elements
dc.subject.othersingular solutions
dc.subject.otherstabilized finite element methods
dc.titleAnalysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
dc.typeExternal research report
dc.subject.lemacMagnetohidrodinàmica -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.rights.accessOpen Access
drac.iddocument11479227
dc.description.versionPreprint
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/258443/EU/Computational Methods for Fusion Technology/COMFUS
upcommons.citation.authorBadia, S.; Codina, R.; Planas, R.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameAnalysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics


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