Finite element methods for the incompressible Stokes equations with variable viscosity

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Date
2015
Volume
2079
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

Finite element error estimates are derived for the incompressible Stokes equations with variable viscosity. The ratio of the supremum and the infimum of the viscosity appears in the error bounds. Numerical studies show that this ratio can be observed sometimes. However, often the numerical results show a weaker dependency on the viscosity.

Description
Keywords
Incompressible Stokes equations, variable viscosity, finite element error analysis, dependency on the viscosity
Citation
John, V., Kaiser, K., & Novo, J. (2015). Finite element methods for the incompressible Stokes equations with variable viscosity (Vol. 2079). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
License
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