ZZ-type aposteriori error estimators for adaptive boundary element methods on a curve
Numerical Analysis
2014-03-14 v1
Abstract
In the context of the adaptive finite element method (FEM), ZZ-error estimators named after Zienkiewicz and Zhu are mathematically well-established and widely used in practice. In this work, we propose and analyze ZZ-type error estimators for the adaptive boundary element method (BEM). We consider weakly-singular and hyper-singular integral equations and prove, in particular, convergence of the related adaptive mesh-refining algorithms.
Cite
@article{arxiv.1306.5120,
title = {ZZ-type aposteriori error estimators for adaptive boundary element methods on a curve},
author = {Michael Feischl and Thomas Führer and Michael Karkulik and Dirk Praetorius},
journal= {arXiv preprint arXiv:1306.5120},
year = {2014}
}