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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