Analysis of the Performance of Mixed Finite Element Methods

摘要

The main focus of this project has been the investigation of various questions related to p- and h - p versions of the finite element method, including mixed methods. These new versions differ from the claddical h-version where the degree p of polynominals used is kept fixed (unusually p + 1 or 2) and p is increased for accuracy. The h-p version combines the two approaches. Keywords: Finite elements, P version, H-p version, Approximation theory, Integral equations, Reaction diffusion problems. (JHD)