Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Dirk Praetorius

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

© 2014 IMACS. Published by Elsevier B.V. All rights reserved. For hypersingular integral equations in 2D and 3D, we analyze easy-to-implement error estimators like (h-h/2)-based estimators, two-level estimators, and averaging on large patches and prove their equivalence. Moreover, we introduce some ZZ-type error estimators. All of these a posteriori error estimators are analyzed within the framework of localization techniques for the energy norm.
Original languageEnglish
Pages (from-to)15-35
Number of pages21
JournalApplied Numerical Mathematics
DOIs
Publication statusPublished - 26 May 2015
Externally publishedYes

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