A discontinuous Galerkin method for the fourth-order curl problem

Qingguo Hong; Jun Hu; Shi Shu; Jinchao Xu

doi:10.4208/jcm.1206-m3572

A discontinuous Galerkin method for the fourth-order curl problem

Qingguo Hong, Jun Hu, Shi Shu, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

In this paper, we present a discontinuous Galerkin (DG) method based on the Nedelec finite element space for solving a fourth-order curl equation arising from a magnetohy-drodynamics 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. Copyright 2012 by AMSS, Chinese Academy of Sciences.

Original language	English (US)
Pages (from-to)	565-578
Number of pages	14
Journal	Journal of Computational Mathematics
Volume	30
Issue number	6
DOIs	https://doi.org/10.4208/jcm.1206-m3572
State	Published - Nov 1 2012
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Computational Mathematics

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10.4208/jcm.1206-m3572

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abstract = "In this paper, we present a discontinuous Galerkin (DG) method based on the Nedelec finite element space for solving a fourth-order curl equation arising from a magnetohy-drodynamics 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. Copyright 2012 by AMSS, Chinese Academy of Sciences.",

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AU - Shu, Shi

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Y1 - 2012/11/1

N2 - In this paper, we present a discontinuous Galerkin (DG) method based on the Nedelec finite element space for solving a fourth-order curl equation arising from a magnetohy-drodynamics 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. Copyright 2012 by AMSS, Chinese Academy of Sciences.

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A discontinuous Galerkin method for the fourth-order curl problem

Abstract

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