کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417957 | 1339319 | 2015 | 21 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations](/preview/png/6417957.png)
Some finite element iterative methods related to viscosities are designed to solve numerically the steady 2D/3D Navier-Stokes equations. The two-level finite element iterative methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity ν such that a strong uniqueness condition holds. The two-level finite element iterative methods consist of using the Stokes, Newton and Oseen iterations of m times on a coarse mesh with mesh size H and computing the Stokes, Newton and Oseen correction of one time on a fine grid with mesh size hâªH. Moreover, the one-level Oseen finite element iterative method based on a fine mesh with a small mesh size is designed to solve numerically the steady 2D/3D Navier-Stokes equations for small viscosity ν such that a weak uniqueness condition holds. The uniform stability and convergence of these methods with respect to ν and mesh sizes h and H and iterative times m are provided.
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1129-1149