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

Author
Badia, S.; Codina, R.; Planas, R.
Type of activity
Journal article
Journal
Archives of computational methods in engineering
Date of publication
2015-11
Volume
22
Number
4
First page
621
Last page
636
DOI
https://doi.org/10.1007/s11831-014-9129-5 Open in new window
Project funding
Computational Methods for Fusion Technology (COMFUS)
Repository
http://hdl.handle.net/2117/81011 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs11831-014-9129-5#page-1 Open in new window
Abstract
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...
Citation
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.
Keywords
ALGORITHMS, APPROXIMATION, EQUATIONS, Finite elements, MAGNETO-HYDRODYNAMICS, MAXWELL PROBLEM, Magnetohydrodynamics, OPERATOR, RESISTIVE MHD, STATIONARY, SUBSCALES, Singular solutions, Stabilized finite element methods, WEIGHTED REGULARIZATION
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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