Superconvergence analysis of FEMs for the Stokes-Darcy system

摘要

We consider a superconvergence analysis for quadratic finite element approximations of the Stokes-Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results.