Date of Award
4-4-2017
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Applied Science
First Advisor
Xiu Ye
Abstract
In this dissertation, the general superconvergence result of a modified weak Galerkin finite element approximation for the second order elliptic problem by using L^2 projection method is introduced. The novel weak Galerkin finite element method, which was first proposed and analyzed by Wang J. and Ye X., uses the appropriately defined weak functions and discrete weak gradients on arbitrary shapes for higher order polynomial functions. The modified weak Galerkin finite element method was introduced by Wang X. & et al. It reduces the number of unknowns by modifying weak functions from the weak Galerkin finite element method. The superconvergence for the finite element approximation by L^2 projection method was initialized and analyzed by Wang J. This method constructs a new approximation that is closer to the exact solution than the existing solutions by L^2 projection technique.
Recommended Citation
Bogrek, Betul, "Superconvergence of a Modified Weak Galerkin Approximation for Second Order Elliptic Problems by L^2 Projection Method" (2017). Theses and Dissertations. 741.
https://research.ualr.edu/etd/741
