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

[摘要] 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 nonconformingEQrotFE schemes under a reasonable regularity of the exact solutionu∈H5/2(Ω), which seem to be never discovered in the previous literature. The optimalL2-norm error estimate is also derived forEQrotFE. At last, some numerical results are provided to verify the theoretical analysis.

[学科分类] 应用数学