𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Superconvergence of finite element method for the Signorini problem

✍ Scribed by Ming-xia Li; Qun Lin; Shu-hua Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
538 KB
Volume
222
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

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 given to verify our result.

πŸ“œ SIMILAR VOLUMES

Superconvergence of nonconforming finite
Superconvergence of nonconforming finite element method for the Stokes equations
✍ Xiu Ye πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 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