Fourier nonlinear Galerkin approximation for the two dimensional Navier-Stokes equations
โ Scribed by Hou Yanren
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 439 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, for vtscous it~compressibte Navier-Stokes equauons ~lth permdic boundao" conditions, we prove ~he existence and umqueness of the sohttton corresponding to its Fourwr nonhnear Galerkm approxm~atton. At the same time. we give its error estbnates.
๐ SIMILAR VOLUMES
This article represents a new nonlinear Galerkin scheme for the Navier-Stokes equations. This scheme consists of a nonlinear Galerkin finite element method and a two-step difference method. Moreover, we also provide a Galerkin scheme. By convergence analysis, two numerical schemes have the same seco
## Abstract An interior penalty method and a compact discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible NavierโStokes equations. Both compact formulations can be easily applied using highโorder piecewise divergenceโfree approximations, leading to t
In this paper a penalty finite element solution method for the unsteady Navier-Stokes equations for two-dimensional incompressible flow is described. The performances of the Euler implicit (El) and the Crank-Nicolson (CN) time integration methods are analysed. Special attention is payed to the undam