A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUAD-CURL PROBLEM

A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUAD-CURL PROBLEM

In this paper we study the C0 interior penalty method for a quad-curl problem arising from magnetohydrodynamics model on bounded polygons or polyhedrons. We prove the well-posedness of the numerical scheme and then derive the optimal error estimates in a discrete energy norm. A post-processing proce...

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Veröffentlicht in:Mathematical modelling and analysis 2020-03, Vol.25 (2), p.208-225
Hauptverfasser: Sun, Zhengjia, Gao, Fuzheng, Wang, Chao, Zhang, Yi
Format: Artikel
Sprache:eng
Schlagworte:
C0 interior penalty method
Computational fluid dynamics
error analysis
Magnetohydrodynamics
MHD
Post-processing
quad-curl problem
Well posed problems
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Zusammenfassung:In this paper we study the C0 interior penalty method for a quad-curl problem arising from magnetohydrodynamics model on bounded polygons or polyhedrons. We prove the well-posedness of the numerical scheme and then derive the optimal error estimates in a discrete energy norm. A post-processing procedure that can produce C1 approximations is also presented. The performance of the method is illustrated by numerical experiments.
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2020.9796