Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods
- Lederer, Philip L.
- Merdon, Christian
- 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.