DigitalCommons@WayneState

Title

Gradient Recovery and A Posteriori Estimate for Bilinear Element on Irregular Quadrilateral Meshes

Authors

Zhimin Zhang, Wayne State UniversityFollow

Document Type

Technical Report

Abstract

A polynomial preserving gradient recovery method is proposed and analyzed for bilinear element under general quadrilateral meshes. It has been proven that the recovered gradient converges at a rate O(h^{1+rho) for rho = min(alpha, 1) when the mesh is distorted O(h1+alpha) (alpha > 0) from a regular one. Consequently, the a posteriori error estimator based on the recovered gradient is asymptotically exact.}

Number in Series

2002.08

Disciplines

Applied Mathematics | Mathematics | Numerical Analysis and Computation

AMS Subject Classification

Primary 65N30, Secondary 65N15, 41A10, 41A25, 41A27, 41A63

Comments

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

Recommended Citation

Zhang, Zhimin, "Gradient Recovery and A Posteriori Estimate for Bilinear Element on Irregular Quadrilateral Meshes" (2002). Mathematics Research Reports. 5.
https://digitalcommons.wayne.edu/math_reports/5