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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