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Notes on convergence of an algebraic multigrid method
Huang CH(黄朝晖); Shi, P. L.; 北京8701信箱
Department空间天气学国家重点实验室
Source PublicationApplied Mathematics Letters
2007
Volume20Issue:3Pages:335-340
ISSN0893-9659
Language英语
KeywordAlgebraic Multigrid Interpolation Operator Convergence Matrix Analysis Sparse Approximate Inverse Algorithms Amge
AbstractThe convergence theory for algebraic multigrid (AMG) algorithms proposed in Chang and Huang [Q.S. Chang, Z.H. Huang, Efficient algebraic multigrid algorithms and their convergence, SIAM J. Sci. Comput. 24 (2002) 597-618] is further discussed and a smaller and elegant upper bound is obtained. On the basis of element-free AMGe [VE. Henson, P.S. Vassilevski, Element-free AMGe: General algorithms for computing interpolation weights in AMG, SIAM J. Sci. Comput. 23(2) (2001) 629-650] we rewrite the interpolation operator for the classical AMG (cAMG), present a uniform expression and then, by introducing a sparse approximate inverse in the Frobenius norm, give a general convergence theorem which is suited for not only cAMG but also AMG for finite elements and element-free AMGe.
Indexed BySCI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/1081
Collection空间科学部
Corresponding Author北京8701信箱
Recommended Citation
GB/T 7714
Huang CH,Shi, P. L.,北京8701信箱. Notes on convergence of an algebraic multigrid method[J]. Applied Mathematics Letters,2007,20(3):335-340.
APA 黄朝晖,Shi, P. L.,&北京8701信箱.(2007).Notes on convergence of an algebraic multigrid method.Applied Mathematics Letters,20(3),335-340.
MLA 黄朝晖,et al."Notes on convergence of an algebraic multigrid method".Applied Mathematics Letters 20.3(2007):335-340.
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