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	A moving mesh finite element algorithm for singular problems in two and three space dimensions
	Li, R ; Tang, T ; Zhang, PW
	2002
关键词	finite element method moving mesh method harmonic map partial differential equations optimization HARMONIC MAPS MULTIPLE DIMENSIONS 2 DIMENSIONS PDES
英文摘要	A framework for adaptive meshes based on the Hamilton-Schoen-Yau theory was proposed by Dvinsky. In a recent work (2001, J. Comput. Phys. 170, 562588), we extended Dvinsky's method to provide an efficient moving mesh algorithm which compared favorably with the previously proposed schemes in terms of simplicity and reliability. In this work, we will further extend the moving mesh methods based on harmonic maps to deal A with mesh adaptation in three space dimensions. In obtaining the variational mesh, we will solve an optimization problem with some appropriate constraints, which is in contrast to the traditional method of solving the Euter-Lagrange equation directly. The key idea of this approach is to update the interior and boundary grids simultaneously, rather than considering them separately. Application of the proposed moving mesh scheme is illustrated with some two- and three-dimensional problems with large solution gradients. The numerical experiments show,,v that our methods can accurately resolve detail features of singular problems in 3D. (C) 2002 Elsevier Science (USA).; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 50; ARTICLE; 2; 365-393; 177
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157300]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, R,Tang, T,Zhang, PW. A moving mesh finite element algorithm for singular problems in two and three space dimensions. 2002-01-01.

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