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A combined finite element and Marker and cell method for solving Navier-Stokes equations

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Summary

A new method is developed to approximate Navier-Stokes equations for incompressible fluids on polygonal domains. This method is based on a simple finite element approximation adapted to the Marker and Cell technique. Its main originality lies in the fact that the components of the velocity are approximated on distinct interlaced networks. The error analysis shows that this method is of order one.

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  1. Laboratoire Analyse Numerique, Université Paris VI, L.A. 189 Tour 55.65-5ème étage 4, place Jussieu, 75230-Cedex 05, Paris Ve, France

    V. Girault

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  1. V. Girault
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Girault, V. A combined finite element and Marker and cell method for solving Navier-Stokes equations. Numer. Math. 26, 39–59 (1976). https://doi.org/10.1007/BF01396565

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  • DOI: https://doi.org/10.1007/BF01396565

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