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	A regularized mesh transformation method for the computation of crystalline microstructures
	Li, ZP
	2005
关键词	nonconvex energy minimization microstructure regularized mesh transformation mesh quality control ONE CONVEX ENVELOPES LAMINATED MICROSTRUCTURE COMPUTING MICROSTRUCTURES NUMERICAL COMPUTATION SURFACE-ENERGY
英文摘要	Since the finite-element approximations of microstructures are strongly mesh dependent, the use of the mesh transformation method based on the energy minimizing principle is considered a natural approach in the finite-element computation of microstructures. However, without a control on the mesh quality, the mesh can become increasingly irregular in the process of energy minimization and thus jeopardize the convergence of the algorithm. In this paper, a mesh quality control term based on the mesh regularity is introduced to regularize the mesh transformation procedure. The existence and convergence of the regularized mesh transformation method are proved. Numerical experiments show that the method does help to produce much better numerical results in the computation of microstructures. (c) 2005 Elsevier Ltd. All rights reserved.; Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied; SCI(E); EI; 2; ARTICLE; 8-9; 903-914; 41
语种	英语
出处	SCI ; EI
出版者	mathematical and computer modelling
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/254122]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, ZP. A regularized mesh transformation method for the computation of crystalline microstructures. 2005-01-01.

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