Pressure robust finite element discretizations of the nonlinear Stokes equations
Numerical Analysis
2025-01-28 v1 Numerical Analysis
Abstract
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with -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 non pressure robust methods.
Keywords
Cite
@article{arxiv.2501.15954,
title = {Pressure robust finite element discretizations of the nonlinear Stokes equations},
author = {Lars Diening and Adrian Hirn and Christian Kreuzer and Pietro Zanotti},
journal= {arXiv preprint arXiv:2501.15954},
year = {2025}
}