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An adaptive low-order FE-scheme for Stokes flow with cavitation
University Siegen.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
University Siegen.
2010 (English)In: Journal of Numerical Mathematics, ISSN 1570-2820, E-ISSN 1569-3953, Vol. 18, no 3, p. 177-185Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. Vol. 18, no 3, p. 177-185
Keywords [en]
Stokes flow, cavitation, a posteriori error estimate, variational inequality, finite element method, adaptivity
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15815DOI: 10.1515/JNUM.2010.009ISI: 000283293000002OAI: oai:DiVA.org:hj-15815DiVA, id: diva2:440340
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Peter

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