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Two-level Finite Volume Methods and some a priori estimates For Steady Navier-Stokes Equations

Anas RACHID, Noureddine AYOUB, Mohamed BAHAJ


Two-level methods are studied for solving the steady two-dimensional incompressible Navier-Stokes equations using finite volume element method. The methods involves solving one small nonlinear Navier-Stokes problem on the coarse mesh and one linear Stokes problem on the fine mesh. A priori estimates are derived to justify the efficiency of the proposed two-level algorithms. As a result, solving the nonlinear Navier-Stokes equations will not be much more difficult than solving one single linearized equation.


Two-level methods, Finite volume method, Navier-Stokes equations, Stabilization method, A priori estimates

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