| 3 | A FINITE ELEMENT SOLVER FOR NAVIER-STOKES EQUATIONS VIA VORTICITY AND VELOCITY显示文摘The incompressible Navier Stokes equations are solved via variables of vorticity and velocity. Firstly, a rigorous variational framework with the equivalence between the velocity pressure and the vorticity velocity formulations is presented in a Lipschitz domain. Next, a class of Galerkin finite element approximations of the corresponding variational form is introduced, and a convergence analysis is given for the Stokes problem. Finally, an iterative finite element solver for the Navier Stokes problem is proposed. | Zhu Jiang Abimael F D Loula Laboratório Nacional de Computaco Científica, MCT,Av Getúlio Vargas 333, 25651 070 Petrópolis, RJ, Brazil | 2001 | Transactions of Nanjing University of Aeronautics and Astronautics2001，18，z1： | 0 |
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