Superconvergence of nonconforming finite element method for the Stokes equations
โ Scribed by Xiu Ye
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 108 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0749-159X
- DOI
- 10.1002/num.1036
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โฆ Synopsis
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 regularity assumption for the Stokes problem and is applicable to any nonconforming stable finite elements with regular but nonuniform partitions.
๐ SIMILAR VOLUMES
## 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
A finite-element method is developed which improves accuracy and yields superconvergent approximations to two-dimensional elliptic boundary-value problems on a union of square bilinear elements. This method employs an auxiliary equation which is derived using a Taylor series analysis on the discrete