We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with (r, ε)-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.
Pressure robust finite element discretizations of the nonlinear Stokes equations / L. Diening, A. Hirn, C. Kreuzer, P. Zanotti. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - (2025), pp. 1-27. [Epub ahead of print] [10.1142/s0218202525500484]
Pressure robust finite element discretizations of the nonlinear Stokes equations
P. ZanottiUltimo
2025
Abstract
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with (r, ε)-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.
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