Affordable Access

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

Authors
  • Sun, Zhengjia
  • Gao, Fuzheng
  • Wang, Chao
  • Zhang, Yi
Publication Date
Mar 18, 2020
Source
VGTU
Keywords
Language
English
License
Green
External links

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.

Report this publication

Statistics

Seen <100 times