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Title:
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Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
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Author:
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Badia, Santiago; Codina, Ramon; Planas Badenas, Ramon
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
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Abstract:
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The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-014-9129-5 |
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Abstract:
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In 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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de fluids
-Magnetohydrodynamics
-Magnetohydrodynamics
-Finite elements
-Singular solutions
-Stabilized finite element methods
-MAXWELL PROBLEM
-WEIGHTED REGULARIZATION
-MAGNETO-HYDRODYNAMICS
-RESISTIVE MHD
-APPROXIMATION
-EQUATIONS
-STATIONARY
-ALGORITHMS
-SUBSCALES
-OPERATOR
-Magnetohidrodinàmica |
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Rights:
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Document type:
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Article - Published version
Article |
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