25 Result(s)
within
Yinnian He
Mathematical and Computational Engineering
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Article
Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization
A multi-level spectral Galerkin method for the two-dimensional non-stationary Navier-Stokes equations is presented. The method proposed here is a multiscale method in which the fully nonlinear Navier-Stokes eq...
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Article
Stabilized finite-element method for the stationary Navier-Stokes equations
A stabilized finite-element method for the two-dimensional stationary incompressible Navier-Stokes equations is investigated in this work. A macroelement condition is introduced for constructing the local stab...
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Article
Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem
The asymptotic behavior and the Euler time discretization analysis are presented for the two-dimensional non-stationary Navier-Stokes problem. If the data ν and f(t) satisfy a...
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Article
Numerical analysis of a modified finite element nonlinear Galerkin method
A fully discrete modified finite element nonlinear Galerkin method is presented for the two-dimensional equation of Navier-Stokes type. The spatial discretization is based on two finite element spaces X ...
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Article
Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
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...
