Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics

Santiago Badia, Ramon Codina, Ramon Planas

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

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-element structure is needed, which can be easily obtained after a straight modification of any original mesh.

Original languageEnglish
Pages (from-to)621-636
Number of pages16
JournalArchives of Computational Methods in Engineering
Volume22
Issue number4
DOIs
Publication statusPublished - 1 Nov 2015
Externally publishedYes

Keywords

  • Finite elements
  • Magnetohydrodynamics
  • Singular solutions
  • Stabilized finite element methods

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