Multigrid Methods for Variational Problems: General Theory for the; V; -Cycle Journal Article uri icon

Overview

abstract

  • In two earlier papers [SIAM J. Numer. Anal., 19 (1982), pp. 924–929; 21 (1984), pp. 255–262], we developed an algebraic convergence theory for a class of multigrid methods applied to positive definite self-adjoint linear operator equations. The purpose of the present paper is to extend these results by eliminating an earlier approximation order restriction, developing additional rate estimates and allowing for very general relaxation schemes, including those that are nonstationary and nonsymmetric. These results apply to most well-known iterative methods and preconditioners.

publication date

  • August 1, 1985

has restriction

  • closed

Date in CU Experts

  • September 17, 2013 7:59 AM

Full Author List

  • McCormick SF

author count

  • 1

Other Profiles

International Standard Serial Number (ISSN)

  • 0036-1429

Electronic International Standard Serial Number (EISSN)

  • 1095-7170

Additional Document Info

start page

  • 634

end page

  • 643

volume

  • 22

issue

  • 4