Title

Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems

Document Type

Article

Publication Title

Journal of Computational and Applied Mathematics

Abstract

In this article, local ultraconvergence in gradient of the bilinear and linear finite element solutions to two-dimensional second order elliptic problems has been investigated. Special interpolation postprocessing algorithms of numerical solutions by Richardson extrapolation have been developed. The local symmetry theory and estimates of discrete Green functions are used in the analysis. Numerical experiments are provided to confirm the theoretical findings.

DOI

10.1016/j.cam.2020.112715

Publication Date

7-1-2020

This document is currently not available here.

Share

COinS