@Article{JCM-30-565, author = {Qingguo Hong, Jun Hu, Shi Shu and Jinchao Xu}, title = {A Discontinuous Galerkin Method for the Fourth-Order Curl Problem}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {6}, pages = {565--578}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1206-m3572}, url = {http://global-sci.org/intro/article_detail/jcm/8452.html} }