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
Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations
โ Scribed by Roland Becker; Daniela Capatina; Julie Joie
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 450 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
In this paper a recently developed approach for the design of adaptive discontinuous Galerkin finite element methods is applied to physically relevant problems arising in inviscid compressible fluid flows governed by the Euler equations of gas dynamics. In particular, we employ (weighted) type I a p
## 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