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F. A. Ghadi, V. Ruas and M. Wakrim, “A Mixed Finite Element to Solve the Stokes Problem in the Stream Function and Vorticity Formulation,” Hiroshima Mathematical Journal, Vol. 28, No. 3, 1998, pp. 381-398.

has been cited by the following article:

• TITLE: Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations

  AUTHORS: Fattehallah Ghadi, Vitoriano Ruas, Mohamed Wakrim

  KEYWORDS: Characteristics Method; Navier-Stokes; Stream Function; Vorticity

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1A, January 30, 2013

  ABSTRACT: The finite element solution of a generalized Stokes system in terms of the flow variables stream function and vorticity is studied. This system results from a time discretization of the time-dependent Stokes system in stream function-vorticity formulation, or yet by the application of the characteristics method to solve the Navier-Stokes equations in the same representation. Numerical results presented for both cases illustrate the good behaviour of the adopted approach.