Date of Award
8-12-2015
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Applied Science
First Advisor
Xiu Ye
Abstract
The superconvergence of finite element approximations is an important and useful phenomenon and has been an active research area in numerical analysis. A brief definition of the superconvergence of the finite element methods (FEMs) is methods to improve the convergence rate by post-processing an exiting finite element solution so that the new approximation is closer to the exact solution than the existing finite element solution. The purpose of this dissertation is to investigate the superconvergence of different finite element methods for second-order elliptic problems. The finite element methods include the conforming finite element method (CFEM), the non-conforming finite element method (NCFEM), and the weak Galerkin finite element method (WG-FEM).
Recommended Citation
Harris, Anna, "Superconvergence of Finite Element Approximations for Second-Order Elliptic Problems by L^2-Projection Methods" (2015). Theses and Dissertations. 590.
https://research.ualr.edu/etd/590
