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D. Praetorius:
"Adaptive boundary element methods: Error estimation, convergence, and optimality";
Hauptvortrag: Zurich Summer School 2014: Advanced Numerical Methods for Non-Local Operators, Zurich (eingeladen); 18.08.2014 - 22.08.2014.

Usually, the convergence behavior of numerical schemes is spoiled by singularities of the
given data and/or the unknown solution. The purpose of a posteriori error estimation is
twofold: Firstly, a posteriori error estimators allow to compute bounds on the current
discretization error, secondly, the local information provided by the a posteriori error
estimator can be used to adapt the discretization to possible singularities. Our talks will give a
rough overview on a posteriori error estimation and related adaptive mesh-refinement for
boundary element methods with a focus on convergence and quasi-optimal convergence
rates.

http://www.sam.math.ethz.ch/zss/zss2014/