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Multi-atomic Young measure and artificial boundary in approximation of micromagnetics
Li, ZP ; Wu, XN
2004
关键词nonconvex energy minimization micromagnetic microstructure Young measure unbounded domain artificial boundary finite element method COMPUTING MICROSTRUCTURES TRANSFORMATION METHOD RELAXATION
英文摘要Some micromagnetic phenomena can be modelled by a minimization problem of a nonconvex energy. A numerical method to compute the micromagnetic field, which gives rise to a finite dimensional unconstrained minimization problem, is given and analyzed. In our method, the Maxwell's equation defined on the whole space is solved by a finite element method using artificial boundary, and the highly oscillatory magnetization structure is approximated by an element-wise constant Young measure supported on a finite number of unknown points on the unit sphere. Numerical experiments on some uniaxial and cubic anisotropic energy densities show that the method is efficient. (C) 2004 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:000223869300004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 4; ARTICLE; 1; 69-88; 51
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/20.500.11897/254962]  
专题数学科学学院
推荐引用方式
GB/T 7714
Li, ZP,Wu, XN. Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. 2004-01-01.
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