In this paper, we consider a two-grid method for resolving the nonlinearity in finite element approximations of the equilibrium Navier-Stokes equations. We prove the convergence rate of the approximation obtained by this method. The two-grid method involves solving one small, nonlinear coarse mesh s
The Number of Coarse-Grid Iterations Every Cycle for the Two-Grid Method
β Scribed by Ferm, Lars
- Book ID
- 118189545
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 615 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1064-8275
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Multigrid methods for discretized partial differential problems using nonnested conforming and nonconforming finite elements are here defined in the general setting. The coarse-grid corrections of these multigrid methods make use of different finite element spaces from those on the finest grid. In g
In this paper, we consider solutions of Toeplitz systems Au = b where the Toeplitz matrices A are generated by nonnegative functions with zeros. Since the matrices A are ill-conditioned, the convergence factor of classical iterative methods, such as the Richardson method, will approach 1 as the size