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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1989-0969488-5
PII: S 0025-5718(1989)0969488-5
Article copyright: © Copyright 1989 American Mathematical Society