Summary
We study in this paper the convergence of a new mixed finite element approximation of the Navier-Stokes equations. This approximation uses low order Lagrange elements, leads to optimal order of convergence for the velocity and the pressure, and induces an efficient numerical algorithm for the solution of this problem.
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LeTallec, P. A mixed finite element approximation of the Navier-Stokes equations. Numer. Math. 35, 381–404 (1980). https://doi.org/10.1007/BF01399007
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DOI: https://doi.org/10.1007/BF01399007