© 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.
Aurada, M., Feischl, M., Führer, T., Karkulik, M., & Praetorius, D. (2015). Energy norm based error estimators for adaptive BEM for hypersingular integral equations. Applied Numerical Mathematics, 15-35. https://doi.org/10.1016/j.apnum.2013.12.004