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Navier-Stokes approximations in high order norms. (English) Zbl 0877.76015

Hirschel, Ernst Heinrich (ed.), Flow simulation with high-performance computers II. DFG priority research programme results 1993 - 1995. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 52, 295-304 (1996).
We present results on the convergence in high order norms of approximate solutions to the Navier-Stokes initial-boundary value problem. Our main purpose is to find out strongest norms in which uniform convergence of Navier-Stokes approximations on a compact time interval can be achieved realistically.
For the entire collection see [Zbl 0846.00039].

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M20 Finite difference methods applied to problems in fluid mechanics
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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