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A Discontinuous Galerkin Method for the Fourth-Order Curl Problem

A Discontinuous Galerkin Method for the Fourth-Order Curl Problem
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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.

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