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IMA Journal of Numerical Analysis Advance Access published online on March 27, 2009

IMA Journal of Numerical Analysis, doi:10.1093/imanum/drn057
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

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

Susanne C. Brenner{dagger}

Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA

Thirupathi Gudi{ddagger}

Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA

Li-yeng Sung§

Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

{dagger} Corresponding author. Email: brenner{at}math.lsu.edu

{ddagger} Email: tgudi{at}cct.lsu.edu

§ Email: sung{at}math.lsu.edu

Received on 16 January 2008. Accepted for publication 11 August 2008.


   Abstract

A reliable and efficient residual-based a posteriori error estimator is derived for a quadratic C0-interior penalty method for the biharmonic problem on polygonal domains. The performance of the estimator is illustrated by numerical experiments.

Key Words: a posteriori error estimator; quadratic C0-interior penalty method; biharmonic problem; finite element


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