Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations |
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| Authors: | I Albarreal MC Calzada JL Cruz E Fernández-Cara J Galo M Marín |
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| Institution: | (1) Department of Differential Equations and Numerical Analysis, University of Sevilla, Tarfia s/n, 41012 Sevilla, Spain; e-mail: cara@numer.us.es , ES;(2) Department of Computational Science and Numerical Analysis, University of Córdoba, Campus de Rabanales, Ed. C2-3, 14071 Córdoba, Spain; e-mail: jlcruz@uco.es , ES |
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| Abstract: | 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.
Received April 20, 2001 / Revised version received May 21, 2001 / Published online March 8, 2002
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
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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| Keywords: | Mathematics Subject Classification (1991): 65M12 |
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