Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation

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Abstract

A combined Legenedre spectral-finite element approximation is proposed for solving two-dimensional unsteady Navier-Stokes equation. The artificial compressibility is used. The generalized stability and convergence are proved strictly. Some numerical results show the advantages of this method.

Keywords:

Navier-Stokes equation Combined Legendre spectral-finite element approximation.
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Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation. (1999). Journal of Computational Mathematics, 17(5), 495-508. https://www.global-sci.com/index.php/JCM/article/view/11335