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Superconvergence of finite element method for the Signorini problem. (English) Zbl 1148.74044
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:
74S05Finite element methods in solid mechanics
74M15Contact (solid mechanics)
65N12Stability and convergence of numerical methods (BVP of PDE)
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
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References:
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