Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1206-m3572
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 565–578
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Fourth-order curl problem DG method Nédélec finite element space Error estimate.