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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

IMPACT FACTOR 2017: 0.951
5-year IMPACT FACTOR: 3.128

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Volume 12, Issue 1


Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods

M. Dryja / A. Gantner / O.B. Widlund
  • Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA
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/ B.I. Wohlmuth
  • Department of Mathematics, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar

Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a performance of our preconditioner as predicted by the theory. Our condition number estimate depends quadratically on the number of refinement levels.

Key Words: domain decomposition,; elliptic mortar finite element method,; non-matching triangulations,; preconditioned conjugate gradients,; additive Schwarz methods.

About the article

Published in Print: 2004-04-01

Citation Information: Journal of Numerical Mathematics jnma, Volume 12, Issue 1, Pages 23–38, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: https://doi.org/10.1515/1569395041172917.

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