A parallel two-level linearization method for incompressible flow problems☆

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Abstract

Based on the domain decomposition and finite element discretization, a parallel two-level linearization method for the stationary incompressible Navier–Stokes equations is proposed and analyzed. The basic idea of the method is to first solve the nonlinear problem by Newton’s iterations of m times on a coarse grid, and then solve a linearized Oseen problem in parallel on a fine grid to correct the coarse grid solution. The efficiency of the method is illustrated by numerical results.

Keywords

Navier–Stokes equations
Finite element
Newton iterative method
Two-level method
Parallel algorithm

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This work was supported by the Natural Science Foundation of China (No. 11001061) and the Science and Technology Foundation of Guizhou Province of China (No. [2008]2123).

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