@incollection{AbeleKleefeld2020, author = {Abele, Daniel and Kleefeld, Andreas}, title = {New Numerical Results for the Optimization of Neumann Eigenvalues}, series = {Computational and Analytic Methods in Science and Engineering}, booktitle = {Computational and Analytic Methods in Science and Engineering}, editor = {Constanda, Christian}, publisher = {Birkh{\"a}user}, address = {Cham}, isbn = {978-3-030-48185-8 (Print)}, doi = {10.1007/978-3-030-48186-5_1}, pages = {1 -- 20}, year = {2020}, abstract = {We present new numerical results for shape optimization problems of interior Neumann eigenvalues. This field is not well understood from a theoretical standpoint. The existence of shape maximizers is not proven beyond the first two eigenvalues, so we study the problem numerically. We describe a method to compute the eigenvalues for a given shape that combines the boundary element method with an algorithm for nonlinear eigenvalues. As numerical optimization requires many such evaluations, we put a focus on the efficiency of the method and the implemented routine. The method is well suited for parallelization. Using the resulting fast routines and a specialized parametrization of the shapes, we found improved maxima for several eigenvalues.}, language = {en} } @incollection{AbelBoninAlbrachtetal.2015, author = {Abel, Thomas and Bonin, Dominik and Albracht, Kirsten and Zeller, Sebastian and Burkett, Brendan}, title = {Kinematische Untersuchung der Kurbelbewegung im Handcycling: Entwicklung einer sportartspezifischen Methode}, series = {Behindertensport 1951-2011 : Historische und aktuelle Aspekte im nationalen und internationalen Dialog}, booktitle = {Behindertensport 1951-2011 : Historische und aktuelle Aspekte im nationalen und internationalen Dialog}, publisher = {Meyer \& Meyer}, address = {Aachen}, isbn = {9783898997249}, pages = {82 -- 91}, year = {2015}, language = {de} }