DigitalCommons@WayneState

Title

A Meshless Gradient Recovery Method Part I: Superconvergence Property

Authors

Zhiming Zhang, Wayne State UniversityFollow
Ahmed Naga, Wayne State University

Document Type

Technical Report

Abstract

A new gradient recovery method is introduced and analyzed. It is proved that the method is superconvergent for translation invariant finite element spaces of any order. The method maintains the simplicity, efficiency, and superconvergence properties of the Zienkiewicz-Zhu patch recovery method. In addition, under uniform triangular meshes, the method is superconvergent for the Chevron pattern, and ultraconvergence at element edge centers for the regular pattern.

Number in Series

2002.02

Disciplines

Applied Mathematics | Mathematics | Numerical Analysis and Computation

AMS Subject Classification

65N30, 65N15, 65N12, 65D10, 74S05, 41A10, 41A25

Comments

This research was partially supported by the National Science Foundation grants DMS-0074301, DMS-0079743, and INT-0196139.

Recommended Citation

Zhang, Zhiming and Naga, Ahmed, "A Meshless Gradient Recovery Method Part I: Superconvergence Property" (2002). Mathematics Research Reports. 3.
https://digitalcommons.wayne.edu/math_reports/3