Title

Smoothers, mesh dependent norms, interpolation and multigrid

Document Type

Conference Proceeding

Publication Date

10-1-2002

Abstract

New estimates for the nodal interpolation operator for the P finite element are established with respect to mesh dependent norms that are defined in terms of the smoothers in multigrid algorithms. These estimates are useful in the additive approach to the convergence of V-cycle multigrid algorithms and lead to results on the asymptotic behavior of the contraction numbers with respect to the number of smoothing steps. © 2002 IMACS. Published by Elsevier Science B.V. All rights reserved. 1

Publication Source (Journal or Book title)

Applied Numerical Mathematics

First Page

45

Last Page

56

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