A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2005, Vol. 22 ›› Issue (6): 18-22.

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A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures

SHU Shi¹, HUANG Yun-qing¹, YANG Ying², YU Xi-jun³, XIAO Ying-xiong⁴

1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China;
2. Institute of Computional Mathematics and Science/Engineering Computing, Academy of Mathematics and System Sciences, CAS, Beijing 100080, China;
3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
4. Civil Engineering and Mechanics College, Xiangtan University, Xiangtan 411105, China

Received:2004-07-20 Revised:2005-01-21 Online:2005-11-25 Published:2005-11-25

Abstract

Abstract: Two kinds of algebraic multigrid (AMG) algorithms with three-dimensional equal algebraic structures are constructed on the basis of a two-dimensional coarsing technique.The AMG method and the corresponding algebraic multigrid-preconditioned CG method are applied to elliptic boundary value problems with smooth coefficients and anisotropic problems.Numerical results show that the AMG algorithm is efficient and robust.

Key words: algebraic multigrid method, three-dimensional unstructured grid, anisotropy

CLC Number:

SHU Shi, HUANG Yun-qing, YANG Ying, YU Xi-jun, XIAO Ying-xiong. A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(6): 18-22.

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A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures

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