## Abstract For the Poisson equation on rectangular and brick meshes it is well known that the piecewise linear conforming finite element solution approximates the interpolant to a higher order than the solution itself. In this article, this type of supercloseness property is established for a spec
Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equations
โ Scribed by Jian Li; Yinnian He
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 161 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
This article derives a general superconvergence result for nonconforming finite element approximations of the Stokes problem by using a least-squares surface fitting method proposed and analyzed recently by Wang for the standard Galerkin method. The superconvergence result is based on some regularit
## 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