On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Santiago Badia; Ramon Codina; Ramon Planas

doi:10.1016/j.jcp.2012.09.031

On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Santiago Badia, Ramon Codina, Ramon Planas

Research output: Contribution to journal › Article › Research › peer-review

39 Citations (Scopus)

Abstract

In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach.

Original language	English
Pages (from-to)	399-416
Number of pages	18
Journal	Journal of Computational Physics
Volume	234
Issue number	1
DOIs	https://doi.org/10.1016/j.jcp.2012.09.031
Publication status	Published - 1 Jan 2013
Externally published	Yes

Keywords

Finite elements
Magnetohydrodynamics
Singular solutions
Stabilized finite element methods

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10.1016/j.jcp.2012.09.031

Cite this

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abstract = "In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach.",

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AU - Codina, Ramon

AU - Planas, Ramon

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AB - In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach.

KW - Finite elements

KW - Magnetohydrodynamics

KW - Singular solutions

KW - Stabilized finite element methods

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On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Abstract

Keywords

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