Conditional quasi-optimal error estimate for a finite element discretization of the p-Navier-Stokes equations: The case p>2

2024/10/29 by Kaltenbach, Alex, Růžička, Michael
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2411.00043

Abstract

In this paper, we derive quasi-optimal a priori error estimates for the kinematic pressure for a Finite Element (FE) approximation of steady systems of p-Navier-Stokes type in the case of shear-thickening, i.e., in the case p>2, imposing a new mild Muckenhoupt regularity condition.

Related

• Note on quasi-optimal error estimates for the pressure for shear-thickening fluids
• Error analysis for a finite element approximation of the steady p(⋅)-Navier-Stokes equations
• Quasi-Optimal Error Estimates for the Incompressible Navier-Stokes Problem Discretized by Finite Element Methods and Pressure-Correction Projection with Velocity Stabilization
• Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
• Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem