superconvergence

Superconvergence

• L. Chen. Superconvergence of tetrahedral linear finite elements. International Journal of Numerical Analysis and Modeling, 3(3):273-282, 2006.

We extended superconvergence result to a class of 3-D meshes.

• L. Chen and H. Li. Superconvergence of Gradient Recovery Schemes on graded meshes for corner singularities. Accepted by Journal of Computational Mathematics. 2008.

We show that superconvergence exists for a type of graded meshes for corner singularities in polygonal domains. In contrast to the existing superconvergence results, we do not assume high regularity of the exact solution.