Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2005

A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations

Résumé

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.

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Dates et versions

hal-04925147 , version 1 (01-02-2025)

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Vivette Girault, Béatrice Rivière, Mary Wheeler. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39 (6), pp.1115-1147. ⟨10.1051/m2an:2005048⟩. ⟨hal-04925147⟩
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