EQ1rot nonconforming finite element approximation to Signorini problem

AbstractIn this paper, we apply EQ1rot nonconforming finite element to approximate Signorini problem. If the exact solution $$u \in H^{\tfrac{5} {2}} \left( \Omega \right)$$, the error estimate of order O(h) about the broken energy norm is obtained for quadrilateral meshes satisfying regularity assumption and bi-section condition. Furthermore, the superconvergence results of order $$O\left( {h^{\tfrac{3} {2}} } \right)$$ are derived for rectangular meshes. Numerical results are presented to confirm the considered theory.

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