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

Author: T. Geveci
Journal: Math. Comp. 53 (1989), 43-53
MSC: Primary 65M10; Secondary 35Q10, 76-08, 76D05
DOI: https://doi.org/10.1090/S0025-5718-1989-0969488-5
MathSciNet review: 969488
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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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