V-cycle Algorithms with Less than Full Elliptic Regularity

Department of Mathematics

Cornell University

Ithaca, NY 14853

Applied Math Department

Brookhaven National Laboratory

Upton, NY 11973

In this paper, we provide uniform estimates for V-cycle algorithms with one smoothing on each level. This theory is based on some elliptic regularity but does not require a smoother interaction hypothesis (sometimes referred to as a strengthened Cauchy Schwarz inequality) assumed in other theories. Thus, it is a natural extension of the full regularity V-cycle estimates provided by Braess and Hackbusch in [2].

Contributed April 2, 1993.