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Zbl 1148.74044
Li, Mingxia; Lin, Qun; Zhang, Shuhua
Superconvergence of finite element method for the Signorini problem.
(English)
[J] J. Comput. Appl. Math. 222, No. 2, 284-292 (2008). ISSN 0377-0427

Summary: We study the superconvergence of finite element method for frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of information on contact zone, we can derive a superconvergence rate of $O(h^{\frac32})$ under a proper regularity assumption. Finally, a numerical test is given to verify our result.
MSC 2000:
*74S05 Finite element methods
74M15 Contact
65N12 Stability and convergence of numerical methods (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)

Keywords: bilinear elements; contact zone; regularity

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