Pressure robust finite element discretizations of the nonlinear Stokes equations

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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