Stabilized discontinuous Galerkin scheme for the magnetic induction equation
type: Item
instance of: scholarly article
title: Stabilized discontinuous Galerkin scheme for the magnetic induction equation
zbMATH Open document ID: 1422.65266
author: T. Sarkar
author: Praveen Chandrashekar
published in: Applied Numerical Mathematics
publication date: 2019-02-22T00:00:00Z
review text: The authors investigate a special form of the well-known magneto-hydrodynamics model leading to the magnetic induction equation. A discontinuous Galerkin scheme is developed based on standard discontinuous Lagrange basis functions and using the symmetrized version of the equation as introduced previously by Godunov. Stability, accuracy and convergence of the proposed scheme are shown and confirmed already with numerical experimentations. A stability problem is controlled by an extra term due to an artificial viscosity. Overall, the arguments treated are important They lead to high accurate, convergent and stable algorithms. The paper is interesting and significant for the scientific community, especially in numerical studies.
reviewed by: Anouar Ben Mabrouk
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 7027792
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: magnetic induction equation
zbMATH Keywords: stability and error analysis
zbMATH Keywords: rate of convergence
describes a project that uses: VisIt
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.11.010
OpenAlex ID: W2902410098
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Wikidata QID: Q128852549
DOI: 10.1016/J.APNUM.2018.11.010
description: scientific article; zbMATH DE number 7027792