WIAS Preprint No. 2587, (2019)

Finite element pressure stabilizations for incompressible flow problems


  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Knobloch, Petr
    ORCID: 0000-0003-2709-5882
  • Wilbrandt, Ulrich

2010 Mathematics Subject Classification

  • 65N30 65N12 65N15


  • Incompressible flows, Stokes equations, finite element methods, pressure stabilization, error analysis




Discretizations of incompressible flow problems with pairs of finite element spaces that do not satisfy a discrete inf-sup condition require a so-called pressure stabilization. This paper gives an overview and systematic assessment of stabilized methods, including the respective error analysis.

Appeared in

  • V. John, P. Knobloch, U. Wilbrandt, Chapter 6: Finite Element Pressure Stabilizations for Incompressible Flow Problems, in: Fluids under Pressure, T. Bodnár, G. Galdi, Š. Nečasová, eds., Advances in Mathematical Fluid Mechanics, Birkhäuser, Cham, 2020, pp. 483--573, DOI 10.1007/978-3-030-39639-8_6 .

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