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Journal of Numerical Mathematics

Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri

Managing Editor: Olshanskii, Maxim

Editorial Board: Benzi, Michele / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Bonito, Andrea / Quarteroni, Alfio / Guzman, Johnny / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Zou, Jun / Simoncini, Valeria / Reusken, Arnold

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Volume 16, Issue 3


Cascadic multigrid method for P 1-nonconforming quadrilateral element

C. Wang / Z. Huang / L. Li
Published Online: 2008-11-24 | DOI: https://doi.org/10.1515/JNUM.2008.011


In this paper, a cascadic multigrid method for P 1-nonconforming quadrilateral finite element approximation of second order elliptic problem is studied. A new intergrid transfer operator is constructed to connect the nonnested coarse and fine grid spaces. We show that the cascadic multigrid method is accurate with optimal complexity for conjugate gradient smoother, and suboptimal complexity for some other traditional multigrid smoothers. Finally, some numerical experiments are reported to support the theory.

Keywords:: cascadic multigrid method; P 1-nonconforming quadrilateral element; second order elliptic problem

About the article

Received: 2005-09-24

Revised: 2008-04-07

Published Online: 2008-11-24

Published in Print: 2008-11-01

Citation Information: Journal of Numerical Mathematics, Volume 16, Issue 3, Pages 237–248, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: https://doi.org/10.1515/JNUM.2008.011.

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