An a posteriori error estimator for a quadratic C⁰-interior penalty method for the biharmonic problem

Authors

Susanne C. Brenner, Louisiana State University
Thirupathi Gudi, Louisiana State University
Li Yeng Sung, Louisiana State University

Document Type

Article

Publication Date

7-1-2010

Abstract

A reliable and efficient residual-based a posteriori error estimator is derived for a quadratic C -interior penalty method for the biharmonic problem on polygonal domains. The performance of the estimator is illustrated by numerical experiments. © 2009 The author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. 0

Publication Source (Journal or Book title)

IMA Journal of Numerical Analysis

First Page

777

Last Page

798

Recommended Citation

Brenner, S., Gudi, T., & Sung, L. (2010). An a posteriori error estimator for a quadratic C⁰-interior penalty method for the biharmonic problem. IMA Journal of Numerical Analysis, 30 (3), 777-798. https://doi.org/10.1093/imanum/drn057