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Numerical analysis and computation of a multi-order laminated microstructure
Li, Zhiping
2009
关键词Multi-well problem Multi-order laminated microstructure Mesh transformation Periodic relaxation Energy minimization Convergence rate MESH TRANSFORMATION METHOD ONE CONVEX ENVELOPES COMPUTING MICROSTRUCTURES MINIMIZERS ENERGY
英文摘要The mesh transformation method is applied in a finite element approximation to a multi-well problem. It is proved that, compared with standard finite element methods, significantly higher convergence rate for the finite element approximations of multi-level microstructures can be obtained by combining the mesh transformation method with the periodic relaxation technique. Numerical examples are given to show the method can be efficiently implemented in computing multi-level microstructures. (C) 2007 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000260267600006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; Mechanics; SCI(E); EI; 1; ARTICLE; 1; 81-91; 33
语种英语
出处EI ; SCI
出版者applied mathematical modelling
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157746]  
专题数学科学学院
推荐引用方式
GB/T 7714
Li, Zhiping. Numerical analysis and computation of a multi-order laminated microstructure. 2009-01-01.
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