Contributions to Books:
M. Aurada, S. Ferraz-Leite, D. Praetorius:
"Convergence of adaptive boundary element methods";
in: "ASC Report 01/2009",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2009,
ISBN: 978-3-902627-02-5.
English abstract:
A posteriori error estimators and adaptive mesh-refinement have
themselves proven to be an important tool for scientific computing.
For error control in finite element methods (FEM), there is a broad
variety of a posteriori error estimators available, and convergence
as well as optimality of adaptive FEM is well-studied in the
literature. This is in sharp contrast to the boundary element method
(BEM). Although a posteriori error estimators and adaptive
algorithms are also successfully applied to boundary element
schemes, even convergence of adaptive BEM is hardly understood
mathematically. In our contribution, we present and discuss recent
mathematical results which give first positive answers for adaptive
BEM.
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2009/asc01x2009.pdf
Created from the Publication Database of the Vienna University of Technology.