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Zbl 1096.76026
Kaya, Songul; Rivière, Béatrice
A discontinuous subgrid eddy viscosity method for the time-dependent Navier--Stokes equations. (English)
[J] SIAM J. Numer. Anal. 43, No. 4, 1572-1595 (2005). ISSN 0036-1429; ISSN 1095-7170/e

Summary: We provide an error analysis of a subgrid scale eddy viscosity method using discontinuous polynomial approximations for the numerical solution of incompressible Navier-Stokes equations. Optimal continuous in time error estimates of the velocity are derived. The analysis is completed with some error estimates for two fully discrete schemes, which are first and second order in time, respectively.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65M60 Finite numerical methods (IVP of PDE)
65M15 Error bounds (IVP of PDE)

Keywords: error analysis; discontinuous Galerkin method; discontinuous polynomial approximations

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