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	Computing non-smooth minimizers with the mesh transformation method
	Zhou, JS ; Li, ZP
	2005
关键词	regularized mesh transformation non-smooth minimizer optimal finite element approximation FINITE-ELEMENT METHODS MICROSTRUCTURES
英文摘要	A regularized mesh transformation method is applied to solve a variational problem allowing a non-smooth minimizer. Since the mesh lines can be made to match the discontinuity set of the minimizer, the method efficiently improves the approximating property of the numerical solution. Error bounds dominated by the error of the energy approximation have been derived, which verify that the numerical solution obtained by the mesh transformation method is the optimal finite element solution in the sense that the corresponding error norm is minimized among all admissible mesh distributions. Numerical experiments are given to show the efficiency of the method.; Mathematics, Applied; SCI(E); 4; ARTICLE; 3; 458-472; 25
语种	英语
出处	SCI
出版者	ima journal of numerical analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/399248]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhou, JS,Li, ZP. Computing non-smooth minimizers with the mesh transformation method. 2005-01-01.

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