A Local Discontinuous Galerkin approximation for the p-Navier-Stokes system, Part II: Convergence rates for the velocity

08/08/2022

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by   Alex Kaltenbach, et al.

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In the present paper, we prove convergence rates for the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, for systems of p-Navier-Stokes type and p-Stokes type with p∈ (2,∞). The convergence rates are optimal for linear ansatz functions. The results are supported by numerical experiments.