TY - JOUR
T1 - A Discontinuous Galerkin Method for the Fourth-Order Curl Problem
AU - Qingguo Hong, Jun Hu, Shi Shu & Jinchao Xu
JO - Journal of Computational Mathematics
VL - 6
SP - 565
EP - 578
PY - 2012
DA - 2012/12
SN - 30
DO - http://doi.org/10.4208/jcm.1206-m3572
UR - https://global-sci.org/intro/article_detail/jcm/8452.html
KW - Fourth-order curl problem, DG method, Nédélec finite element space, Error
estimate.
AB - <p style="text-align: justify;">In this paper, we present a discontinuous Galerkin (DG) method based on the Nédélec finite element space for solving a fourth-order curl equation arising from a magnetohydrodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results.</p>