Convergence analysis of V-Cycle multigrid methods for anisotropic elliptic equations | |
Wu, Yongke ; Chen, Long ; Xie, Xiaoping ; Xu, Jinchao | |
2012 | |
关键词 | bilinear element anisotropic equations multigrid method SUBSPACE CORRECTIONS ITERATIVE METHODS ALGORITHMS DECOMPOSITION SPACE |
英文摘要 | Fast multigrid solvers are considered for the linear systems arising from the bilinear finite element discretizations of second-order elliptic equations with anisotropic diffusion. Optimal convergence of Vcycle multigrid methods in the semicoarsening case and nearly optimal convergence of V-cycle multigrid method with line smoothing in the uniformly-coarsening case are established using the Xu-Zikatanov identity. Since the 'regularity assumption' is not used in the analysis, the results can be extended to general domains consisting of rectangles.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000309923300003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); 2; ARTICLE; 4; 1329-1347; 32 |
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/20.500.11897/392827] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wu, Yongke,Chen, Long,Xie, Xiaoping,et al. Convergence analysis of V-Cycle multigrid methods for anisotropic elliptic equations. 2012-01-01. |
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