Pressure-robust finite element discretizations of the nonlinear Stokes equations
We present first-order nonconforming Crouzeix–Raviart discretizations for the nonlinear generalized Stokes equations with [Formula: see text]-structure. Thereby the velocity-errors are independent of the pressure-error; i.e. the method is pressure-robust. This improves suboptimal rates previously experienced for not pressure-robust methods.
Authors
- Christian Kreuzer (ORCID: https://orcid.org/0000-0003-2923-4428)
- Lars Diening (ORCID: https://orcid.org/0000-0002-0523-3079)
- Pietro Zanotti (ORCID: https://orcid.org/0000-0003-4505-3520)
- Adrian Hirn
Institutions
- Esslingen University of Applied Sciences (DE)
- University of Milan (IT)
- TU Dortmund University (DE)
- Bielefeld University (DE)
- Robert Bosch (Germany) (DE)
Publication Details
- Journal
- Mathematical Models and Methods in Applied Sciences
- Published
- 2025-06-27
- DOI
- https://doi.org/10.1142/s0218202525500484
- Citations
- 1
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 1.33