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A Local Discontinuous Galerkin approximation for the $p$-Navier-Stokes system, Part II: Convergence rates for the velocity (2208.04107v4)
Published 8 Aug 2022 in math.NA and cs.NA
Abstract: 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 $p\in (2,\infty)$. The convergence rates are optimal for linear ansatz functions. The results are supported by numerical experiments.