Pressure robust Finite Element discretizations of the nonlinear Stokes Equations
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Date
2025-01-27
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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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Keywords
non-Newtonian Stokes, a priori error estimates, finite element method, p-Stokes