A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM

A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM

In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec 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 m...

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Veröffentlicht in:Journal of computational mathematics 2012-11, Vol.30 (6), p.565-578
Hauptverfasser: Hong, Qingguo, Hu, Jun, Shu, Shi, Xu, Jinchao
Format: Artikel
Sprache:eng
Schlagworte:
Coercivity
Curl
Estimation methods
Finite element method
Galerkin methods
Lipschitz
Mathematical discontinuity
Maxwell equations
Navier Stokes equation
Simulations
四阶
数值结果
最优误差估计
有限元方法
有限元解
模型问题
间断有限元
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Zusammenfassung:In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec 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.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1206-m3572