Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations |
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Authors: | Yinnian He Kaitai Li |
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Institution: | (1) Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049 China , CN |
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Abstract: | In this article, we present a new fully discrete finite element nonlinear Galerkin method, which are well suited to the long
time integration of the Navier-Stokes equations. Spatial discretization is based on two-grid finite element technique; time
discretization is based on Euler explicit scheme with variable time step size. Moreover, we analyse the boundedness, convergence
and stability condition of the finite element nonlinear Galerkin method. Our discussion shows that the time step constraints
of the method depend only on the coarse grid parameter and the time step constraints of the finite element Galerkin method depend on the fine grid parameter under the same convergence accuracy.
Received February 2, 1994 / Revised version received December 6, 1996 |
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Keywords: | Mathematics Subject Classification (1991): 35A40 35Q10 65N30 |
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