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	An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
	Wang, Duan ; Li, Ruo ; Yan, Ningning
	2010
关键词	Adaptive finite element method anisotropic mesh refinement elliptic interface problem non-homogeneous jump a posteriori error estimate FINITE-ELEMENT-METHOD LINEAR INTERPOLATION EPITAXIAL-GROWTH ERROR ESTIMATOR ADAPTATION PRINCIPLES GRIDS
英文摘要	Based on an error estimate in terms of element edge vectors on arbitrary unstructured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicator, the error estimate involves only the gradient of error rather than higher order derivatives. The preferred refinement edge is chosen to reduce the maximal term in the error estimate. The algorithm is implemented in both two- and three-dimensional cases, and applied to the singular function interpolation and the elliptic interface problem. The numerical results demonstrate that the convergence order obtained by using the proposed anisotropic mesh refinement algorithm can be higher than that given by the isotropic one.; Physics, Mathematical; SCI(E); 4; ARTICLE; 3; 511-540; 8
语种	英语
出处	SCI
出版者	communications in computational physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314470]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Wang, Duan,Li, Ruo,Yan, Ningning. An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems. 2010-01-01.

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