Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality

الملخص EN

This paper studies the finite element (FE) approximation to a second-type variational inequality.

The supe rclose and superconvergence results are obtained for conforming bilinear FE and nonconforming EQrot FE schemes under a reasonable regularity of the exact solution u∈H5/2(Ω), which seem to be never discovered in the previous literature.

The optimal L2-norm error estimate is also derived for EQrot FE.

At last, some numerical results are provided to verify the theoretical analysis.