An adaptive low-order FE-scheme for Stokes flow with cavitation
Journal article, 2010

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.


F Gimbel

University of Siegen

Peter F G Hansbo

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

FT Suttmeier

University of Siegen

Journal of Numerical Mathematics

1570-2820 (ISSN) 1569-3953 (eISSN)

Vol. 18 3 177-185

Subject Categories

Computational Mathematics



More information