2026-04-14T05:05:20Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/810112026-01-28T02:01:42Zcom_2072_1033col_2072_452950
Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
Badia, Santiago
Codina, Ramon
Planas Badenas, Ramon
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
Centre Internacional de Mètodes Numèrics en Enginyeria
Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
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
The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-014-9129-5
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.
Peer Reviewed
Postprint (published version)
2015-11
Article
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.
1134-3060
https://hdl.handle.net/2117/81011
10.1007/s11831-014-9129-5
eng
http://link.springer.com/article/10.1007%2Fs11831-014-9129-5#page-1
info:eu-repo/grantAgreement/EC/FP7/258443/EU/Computational Methods for Fusion Technology/COMFUS
Open Access
16 p.
application/pdf