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ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A splitting method using discontinuous Galerkin for the transient incompressibleNavier-Stokes equations
Vivette Girault, Béatrice Rivière, Mary F. Wheeler
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 39 / Issue 6 / November 2005

Published online by Cambridge University Press:

15 November 2005, pp. 1115-1147

Print publication:

November 2005
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In this paper we solve the time-dependent incompressible Navier-Stokesequations by splitting the non-linearity and incompressibility, andusing discontinuous or continuous finite element methods in space. Weprove optimal error estimates for the velocity and suboptimalestimates for the pressure. We present some numerical experiments.