Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system

18 Feb 2020 Mizerova Hana She Bangwei

We prove convergence of a finite difference approximation of the compressible Navier--Stokes system towards the strong solution in $R^d,$ $d=2,3,$ for the adiabatic coefficient $\gamma>1$. Employing the relative energy functional, we find a convergence rate which is \emph{uniform} in terms of the discretization parameters for $\gamma \geq d/2$... (read more)

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  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS