Title:      Convergence of nonconforming multigrid methods 
            without full elliptic regularity
 
Author:     Susanne C. Brenner

Published:  Mathematics of Computation
            v. 68 (1999), 25-53 (MR# 99c:65229)

Abstract:   We consider nonconforming  multigrid methods for symmetric 
            positive definite second and fourth order elliptic boundary 
            value problems which do not have full elliptic regularity.  
            We prove that there is a bound ($<1$) for the contraction 
            number of the $W$-cycle algorithm which is independent of 
            mesh level, provided that the number of smoothing steps is   
            sufficiently large. We also show that the symmetric variable 
            $V$-cycle algorithm is an optimal preconditioner. 


Results presented at: 

- Seventh Copper Mountain Conference on Multigrid Methods, 
  Copper Mountain, Colorado, April 3-7, 1995

- Multilevel Methods and Applications, Oberwolfach, Germany,
  April 30--May 6, 1995

    


 paper: Mathematics of Computation