Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/82287
Title: A quadratic C-0 interior penalty method for the quad-curl problem
Authors: Sun, ZJ
Gao, FZ
Wang, C 
Zhang, Y
Issue Date: 2020
Source: Mathematical modelling and analysis, 2020, v. 25, no. 2, p. 208-225
Abstract: In this paper we study the C-0 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 C-1 approximations is also presented. The performance of the method is illustrated by numerical experiments.
Keywords: C-0 interior penalty method
MHD
Quad-curl problem
Error analysis
Publisher: Vilniaus Gedimino technikos universitetas. ; Matematikos ir informatikos institutas (Lithuania)
Journal: Mathematical modelling and analysis 
ISSN: 1392-6292
EISSN: 1648-3510
DOI: 10.3846/mma.2020.9796
Rights: Copyright (c) 2020 The Author(s). Published by VGTU Press.
This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
The following publication Sun, Z., Gao, F., Wang, C., & Zhang, Y. (2020). A quadratic C0 interior penalty method for the quad-curl problem. Mathematical Modelling and Analysis, 25(2), 208-225 is available at https://dx.doi.org/10.3846/mma.2020.9796
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