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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 18, Issue 3


An adaptive low-order FE-scheme for Stokes flow with cavitation

F. Gimbel / P. Hansbo / F. T. Suttmeier
Published Online: 2010-10-20 | DOI: https://doi.org/10.1515/jnum.2010.009


In this note we derive a posteriori error bounds for FE-discretisations for a fluid problem with cavitation. The underlying model is the Stokes system together with an inequality constraint for the pressure. In order to avoid suboptimal behavior of the error bounds we propose to employ a Lagrange setting yielding an improved estimate. Numerical tests confirm our theoretical results.

Keywords:: Stokes flow; cavitation; a posteriori error estimate; variational inequality; finite element method; adaptivity

About the article

Received: 2010-04-21

Revised: 2010-07-29

Published Online: 2010-10-20

Published in Print: 2010-10-01

Citation Information: Journal of Numerical Mathematics, Volume 18, Issue 3, Pages 177–185, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: https://doi.org/10.1515/jnum.2010.009.

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