DigitalCommons@WayneState

Title

Analysis of Recovery Type A Posteriori Error Estimators for Mildly Structured Grids

Authors

Jinchao Xu, Wayne State University
Zhimin Zhang, Wayne State UniversityFollow

Document Type

Technical Report

Abstract

Some recovery type error estimators for linear finite element method are analyzed under O(h^{1+alpha) (alpha greater than 0) regular grids. Superconvergence is established for recovered gradients by three different methods when solving general non-self-adjoint second-order elliptic equations. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.}

Number in Series

2002.07

Disciplines

Applied Mathematics | Mathematics | Numerical Analysis and Computation

AMS Subject Classification

Primary 65N30, Secondary 65N50, 65N15, 65N12, 65D10, 74S05, 41A10, 41A25

Comments

This work was supported in part by the National Science Foundation grants DMS-9706949 and Center for Computational Mathematics and Applications, Penn State University, and in part by the National Science Foundation grants DMS-0074301, DMS-0079743, and INT-0196139.

Recommended Citation

Xu, Jinchao and Zhang, Zhimin, "Analysis of Recovery Type A Posteriori Error Estimators for Mildly Structured Grids" (2002). Mathematics Research Reports. 4.
https://digitalcommons.wayne.edu/math_reports/4