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M. Feischl, T. Führer, M. Karkulik, D. Praetorius:
"ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve";
in: "ASC Report 16/2013", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2013, ISBN: 978-3-902627-06-3, S. 1 - 14.

In the context of the adaptive finite element method (FEM), ZZ-error estimators named after Zienkiewicz and Zhu [ZZ87]
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. Throughout, the
theoretical findings are underlined by numerical experiments.

boundary element method, local mesh-refinement, adaptive algorithm, ZZ-type error estimator

http://www.asc.tuwien.ac.at/preprint/2013/asc16x2013.pdf