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A quadratic C0 interior penalty method for the quad-curl problem

    Zhengjia Sun   Affiliation
    ; Fuzheng Gao Affiliation
    ; Chao Wang   Affiliation
    ; Yi Zhang   Affiliation

Abstract

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.

Keyword : C0 interior penalty method, MHD, quad-curl problem, error analysis

How to Cite
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. https://doi.org/10.3846/mma.2020.9796
Published in Issue
Mar 18, 2020
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