Summary.
This paper is concerned with the analysis of the convergence and the derivation of error estimates for a parallel algorithm which is used to solve the incompressible Navier-Stokes equations. As usual, the main idea is to split the main differential operator; this allows to consider independently the two main difficulties, namely nonlinearity and incompressibility. The results justify the observed accuracy of related numerical results.
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Received April 20, 2001 / Revised version received May 21, 2001 / Published online March 8, 2002
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ID="*" Partially supported by D.G.E.S. (Spain), Proyecto PB98–1134
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ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986
RID="**"
ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986
RID="*"
ID="*" Partially supported by D.G.E.S. (Spain), Proyecto PB98–1134
RID="**"
ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986
RID="**"
ID="**" Partially supported by D.G.E.S. (Spain) Proyecto PB96–0986
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Albarreal, I., Calzada, M., Cruz, J. et al. Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations. Numer. Math. 93, 201–221 (2002). https://doi.org/10.1007/s002110100383
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DOI: https://doi.org/10.1007/s002110100383