DigitalCommons@WayneState

Title

A Posteriori Error Estimates Based on Polynomial Preserving Recovery

Authors

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

Document Type

Technical Report

Abstract

Superconvergence of order O(h^1+rho), for some rho is greater than 0, is established for gradients recovered using Polynomial Preserving Recovery technique when the mesh is mildly structured. Consequently this technique can be used in building a posteriori error estimator that is asymptotically exact.

Number in Series

2002.09

Disciplines

Applied Mathematics | Mathematics | Numerical Analysis and Computation

AMS Subject Classification

65N30, 65N15, 65Nl2, 65Dl0, 74805, 41Al0, 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 Naga, Ahmed, "A Posteriori Error Estimates Based on Polynomial Preserving Recovery" (2002). Mathematics Research Reports. 6.
https://digitalcommons.wayne.edu/math_reports/6