Superconvergence of finite element method for the Signorini problem

Authors:
Ming-xia Li;Qun Lin;Shu-hua Zhang
Affiliations:
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, People's Republic of China;Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, People's Republic of China;Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

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.