A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM | |
Hong, Qingguo ; Hu, Jun ; Shu, Shi ; Xu, Jinchao | |
2012 | |
关键词 | Fourth-order curl problem DG method Nedelec finite element space Error estimate FINITE-ELEMENT-METHOD HARMONIC MAXWELL EQUATIONS INTERIOR PENALTY METHODS CONSERVATION-LAWS ELLIPTIC PROBLEMS COLD-PLASMA APPROXIMATION OPERATOR SYSTEMS |
英文摘要 | 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 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.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000313860300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 1; ARTICLE; 6; 565-578; 30 |
语种 | 英语 |
出处 | SCI |
出版者 | 计算数学英文版 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/314378] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Hong, Qingguo,Hu, Jun,Shu, Shi,et al. A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM. 2012-01-01. |
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