Geodesic
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 6, pp. 1115-1147

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In this paper we solve the 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.

DOI : 10.1051/m2an:2005048
Classification : 65M12, 65M15, 65M60
Keywords: operator splitting, time-dependent Navier-Stokes, SIPG 
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     author = {Girault, Vivette and Rivi\`ere, B\'eatrice and Wheeler, Mary F.},
     title = {A splitting method using discontinuous {Galerkin} for the transient incompressible {Navier-Stokes} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1115--1147},
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Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 6, pp. 1115-1147. doi: 10.1051/m2an:2005048

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