๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Superconvergence of the - version of the finite element method in one dimension

โœ Scribed by Lijun Yi; Benqi Guo

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
764 KB
Volume
233
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

h-p version of the finite element method Two-point boundary value problem Superconvergence A posteriori error estimation a b s t r a c t

In this paper, we investigate the superconvergence properties of the h-p version of the finite element method (FEM) for two-point boundary value problems. A postprocessing technique for the h-p finite element approximation is analyzed. The analysis shows that the postprocess improves the order of convergence. Furthermore, we obtain asymptotically exact a posteriori error estimators based on the postprocessing results. Numerical examples are included to illustrate the theoretical analysis.

๐Ÿ“œ SIMILAR VOLUMES

Pointwise superconvergence of the stream
Pointwise superconvergence of the streamline diffusion finite-element method
โœ Guohui Zhou; Rolf Rannacher ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 927 KB

In this article, we analyze the local superconvergence property of the streamline-diffusion finiteelement method (SDFEM) for scalar convection-diffusion problems with dominant convection. By orienting the mesh in the streamline direction and imposing a uniformity condition on the mesh, the theoretic

Superconvergence of finite element metho
Superconvergence of finite element method for the Signorini problem
โœ Ming-xia Li; Qun Lin; Shu-hua Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 538 KB

In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h 3 2 ) under a proper regularity assumption. Finally, a numerical test is g

Superconvergence of nonconforming finite
Superconvergence of nonconforming finite element method for the Stokes equations
โœ Xiu Ye ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 108 KB

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