Superconvergence Recovery in Generalized Finite Element Method

Uday Banerjee
Department of Mathematics
Syracuse University

Superconvergence is an important and well known feature of the classical finite element method. This feature allows accurate approximation of the derivatives of the solution of the underlying boundary value problem, which can be used in post-processing. In this talk, we will briefly describe the Generalized Finite Element Method and show that it also has the superconvergence property. We will also present some computational results, which will indicate that the ``recovered derivatives'' -- constructed from the computed solution -- yield very good approximation of the derivatives of the exact solution.