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)
  • Published : 1997.12.31

Abstract

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.