WIAS Preprint No. 2079, (2015)

Finite element methods for the incompressible Stokes equations with variable viscosity


Authors

  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Kaiser, Kristine
  • Novo, Julia
    ORCID: 0000-0001-6667-5666

2010 Mathematics Subject Classification

  • 65N30

Keywords

  • Incompressible Stokes equations, variable viscosity, finite element error analysis, dependency on the viscosity

DOI

10.20347/WIAS.PREPRINT.2079

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.

Appeared in

  • ZAMM Z. Angew. Math. Mech., 96 (2016) pp. 205--216.

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