A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication |
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| Authors: | B. Nilsson P. Hansbo |
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| Affiliation: | 1. Center for Applied Mathematics and Physics, Halmstad University, SE‐301 18 Halmstad, Sweden;2. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE‐412 96 G?teborg, Sweden |
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| Abstract: | ![]()
We present a cavitation model based on the Stokes equation and formulate adaptive finite element methods for its numerical solution. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied, in particular with comparison to the simplified Reynolds model of lubrication. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | Stokes problem cavitation variational inequality finite element method adaptivity error estimate |
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