Efficient Algebraic Multigrid Algorithms and Their Convergence

  • Authors:
  • Qianshun Chang;Zhaohui Huang

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 2002

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Abstract

In this paper, efficient algorithms for the algebraic multigrid (AMG) method are advanced, and AMG methods are proposed for improving the convergence rate. A new convergence theorem of AMG is given, and a complete theoretical study of new algorithms is subsequently presented. Various numerical results demonstrate the efficiency of the new approaches.