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Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. (English)
[J] ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1115-1147 (2005). ISSN 0764-583X; ISSN 1290-3841/e

Summary: We solve time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.

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

Keywords: finite element methods; optimal error estimates

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Zentralblatt MATH Berlin [Germany]