A two-level fully discrete finite element variational multiscale method for the unsteady Navier–Stokes equations

Author:

Xue Jufeng,Shang Yueqiang

Funder

the Basic and Frontier Research Program of Chongqing Municipality, China

Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference58 articles.

1. Abboud H, Girault V, Sayah T (2009) A second order accuracy for a full discretized time-dependent Navier–Stokes equations by a two-grid scheme. Numer Math 114:189–231

2. Crouzeix M, Raviart PA (1973) Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO Anal Numèr 7(R–3):33–76

3. Dai XX, Cheng XL (2008) A two-grid method based on Newton iteration for the Navier–Stokes equations. J Comput Appl Math 220:566–573

4. Fortin M (1972) Calcul num $$\acute{e}$$ e ´ rique des ecoulements fluides de Bingham et des fluides Newtoniens incompressible par desm $$\acute{e}$$ e ´ thodes d’el $$\acute{e}$$ e ´ ments finis. Doctoral thesis

5. Galvin KJ (2011) New subgrid artificial viscosity Galerkin methods for the Navier–Stokes equations. Comput Methods Appl Mech Eng 200:242–250

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