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Douglas, J. and Dupont, T. (1973) Some Superconvergence Results for Galerkin Methods for the Approximation Solution of Two-Point Boundary Value Problems. Topics in Numerical Analysis, 89-92.

has been cited by the following article:

• TITLE: Numerical Experiments Using MATLAB: Superconvergence of Conforming Finite, Element Approximation for Second Order, Elliptic Problems

  AUTHORS: Anna Harris, Stephen Harris, Camille Gardner, Tyrone Brock

  KEYWORDS: Conforming Finite Element Methods, Superconvergence, L2-Projection, Second Order Elliptic Equationm, MATLAB

  JOURNAL NAME: Applied Mathematics, Vol.9 No.6, June 29, 2018

  ABSTRACT: The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and analyzed superconvergence of the conforming finite element method by L2-projections. The goal of this paper is to perform numerical experiments using MATLAB to support and to verify the theoretical results in Wang for the superconvergence of the conforming finite element method (CFEM) for the second order elliptic problems by L2-projection methods. MATLAB codes are published at https://github.com/annaleeharris/Superconvergence-CFEM for anyone to use and to study.