A recovery‐based error estimator for finite volume methods of interface problems: Conforming linear elements. Issue 1 (3rd February 2012)

• Record Type: Journal Article
• Authors: Mu, Lin; Jari, Rabeea; Conner, Loralyn
• Is Part Of: Numerical methods for partial differential equations. Volume 29:Issue 1(2013:Jan.)
• Page Start: 131
• Page End: 143
• Publication Date: 2012-02-03
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21702
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>In this article, we present a recovery‐based a posteriori error estimator for finite volume methods which use the conforming linear trial functions to approximate elliptic interface problems. The reliability and efficiency bounds for the error estimator are established by recovering the flux from a weighted <italic>L</italic>² projection to <italic>H</italic>(<italic>d</italic><italic>i</italic><italic>v</italic>) conforming finite element spaces. Numerical experiments are given to support the conclusions. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013</p> </abstract>