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

Autor
Badia, S.; Codina, R.; Planas, R.
Tipus d'activitat
Article en revista
Revista
Archives of computational methods in engineering
Data de publicació
2015-11
Volum
22
Número
4
Pàgina inicial
621
Pàgina final
636
DOI
https://doi.org/10.1007/s11831-014-9129-5 Obrir en finestra nova
Projecte finançador
Computational Methods for Fusion Technology (COMFUS)
Repositori
http://hdl.handle.net/2117/81011 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs11831-014-9129-5#page-1 Obrir en finestra nova
Resum
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-e...
Citació
Badia, S., Codina, R., Planas, R. Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. "Archives of computational methods in engineering", Novembre 2015, vol. 22, núm. 4, p. 621-636.
Paraules clau
ALGORITHMS, APPROXIMATION, EQUATIONS, Finite elements, MAGNETO-HYDRODYNAMICS, MAXWELL PROBLEM, Magnetohydrodynamics, OPERATOR, RESISTIVE MHD, STATIONARY, SUBSCALES, Singular solutions, Stabilized finite element methods, WEIGHTED REGULARIZATION
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants

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