Contributions to Books:
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",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
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
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.