Journal of the Korean Society for Industrial and Applied Mathematics

  • 제1권1호
  • /
  • Pages.105-125
  • /
  • 1997
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
권호 표지

THE ANANLYSIS OF WILSON'S NONCONFORMING MULTIGRID ALGORITHM FOR SOLVING THE ELASTICITY PROBLEMS

  • KANG, KAB SEOK (Department of Mathematics, Korea Advanced Institute of Science and Technology) ;
  • KWAK, DO YOUNG (Department of Mathematics, Korea Advanced Institute of Science and Technology)
  • 발행 : 1997.12.31
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초록

In this paper we consider multigrid algorithms for solving elasticity problems by using Wilson's nonconforming finite element method. We consider two types of intergrid transfer operators which is needed to define the multigrid algorithm and prove convergence of $\mathcal{W}$-cycle mutigrid algorithm and uniform condition number estimates for the variable $\mathcal{V}$-cycle multigrid preconditioner.

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