DigitalCommons@WayneState

Title

Ultraconvergence of ZZ Patch Recovery at Mesh Symmetry Points

Authors

Zhimin Zhang, Wayne State UniversityFollow
Runchang Lin, Wayne State University

Document Type

Technical Report

Abstract

Ultraconvergence property of the Zienkiewicz-Zhu gradient patch recovery technique based on local discrete least squares fitting is established for a large class of even-order finite elements. The result is valid at all rectangular mesh symmetry points. Different smoothing strategies are discussed. Superconvergence recovery for the Q8 element is proved and ultraconvergence numerical examples are demonstrated.

Number in Series

2001.09

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, Zhimin and Lin, Runchang, "Ultraconvergence of ZZ Patch Recovery at Mesh Symmetry Points" (2001). Mathematics Research Reports. 1.
https://digitalcommons.wayne.edu/math_reports/1