Adaptive boundary element methods

Michael Feischl, Thomas Führer, Norbert Heuer, Michael Karkulik, and Dirk Praetorius
Arch. Comput. Methods Eng. 22 (3), 309-389, 2015.

This paper reviews the state of the art and discusses very recent mathematical developments in the field of adaptive boundary element methods. This includes an overview of available a posteriori error estimates as well as a state-of-the-art formulation of convergence and quasi-optimality of adaptive mesh-refining algorithms.