WIAS Preprint No. 2462, (2017)

Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods


  • Lederer, Philip L.
  • Merdon, Christian
    ORCID: 0000-0002-3390-2145
  • Schöberl, Joachim

2010 Mathematics Subject Classification

  • 65N15 65N30 76D07 76M10


  • Incompressible Navier--Stokes equations, mixed finite elements, pressure robustness, a posteriori error estimators, adaptive mesh refinement




Recent works showed that pressure-robust modifications of mixed finite element methods for the Stokes equations outperform their standard versions in many cases. This is achieved by divergence-free reconstruction operators and results in pressure-independent velocity error estimates which are robust with respect to small viscosities. In this paper we develop a posteriori error control which reflects this robustness.

Appeared in

  • J. Numer. Math., 142 (2019), pp. 713--748.

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