QQ客服 官方微博 反馈留言

	Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics
	Xu, Xianmin ; Li, Zhiping
	2009
关键词	Micromagnetics Multi-atomic Young measure Non-conforming finite element Artificial boundary Stability Convergence COMPUTING MICROSTRUCTURES NUMERICAL-ANALYSIS RELAXATION
英文摘要	In this paper, a non-conforming finite element method coupled with an artificial boundary technique is developed in a multi-atomic Young measure approximation to solve the two-dimensional variational problem for the magnetization field in micromagnetics. which has an anisotropic potential energy and a nonconvex constraint and thus can develop microstructures. Compared with the conforming finite element approach, which turns out to be unstable in the sense that spurious numerical oscillations can occur in the discrete macroscopic magnetization field, the stability and convergence of the non-conforming finite element method can be established. It is also proved that, for the uniaxial energy density, two-atomic young measure is sufficient to approximate the macroscopic magnetization field. The efficiency of the method is illustrated by some numerical examples. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000264925900006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; 5; 920-937; 59
语种	英语
出处	SCI ; EI
出版者	applied numerical mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/245865]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xu, Xianmin,Li, Zhiping. Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics. 2009-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。