On the convergence of a time discretization scheme for the Navier-Stokes equations

Geveci, T.

doi:10.1090/S0025-5718-1989-0969488-5

On the convergence of a time discretization scheme for the Navier-Stokes equations
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Math. Comp. 53 (1989), 43-53 Request permission

Abstract:

A linearized version of the implicit Euler scheme is considered for the approximation of the solutions to the Navier-Stokes equations in a two-dimensional domain. The rate of convergence in the ${H^1}$-norm is established.

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