October 2024
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: Seminar room, 1st floor, in the Research Institute for Discrete Mathematics/Arithmeum in Lennéstraße 2, Bonn.
Location: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Location: MPIM Seminar Room
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Seminar Room
Location: Endenicher Allee 60, seminar room 0.008
Abstract: In this talk, Brian Villegas Villalpando will give the final presentation on the topic of his Master's thesis.
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Location: MPIM Lecture Hall
Abstract: We discuss the spectral properties of three-dimensional Dirac operators with critical combinations of electrostatic and Lorentz scalar shell interactions supported by a compact smooth surface. It turns out that the criticality of the interaction may result in a new interval of essential spectrum. The position and the length of the interval are explicitly controlled by the coupling constants and the principal curvatures of the surface. This effect is completely new compared to lower dimensional critical situations or special geometries considered up to now, in which only a single new point in the essential spectrum was observed. Based on joint work with Konstantin Pankrashkin (Oldenburg).
Location: Endenicher Allee 60, seminar room 0.008
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
November 2024
Location: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Location: Endenicher Allee 60, Lipschitz hall
Location: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
December 2024
Location: Endenicher Allee 60, Lipschitz Lecture Hall
Abstract: We present a general shape optimization framework based on the method of mappings in the Lipschitz topology. We propose and numerically analyse steepest descent and Newton-like minimisation algorithms for the numerical solution of the respective shape optimization problems. Our work is built upon previous work of the authors in (Deckelnick, Herbert, and Hinze, ESAIM: COCV 28 (2022)), where a Lipschitz framework for star-shaped domains is proposed. To illustrate our approach we present a selection of PDE constrained shape optimization problems and compare our findings to results from so far classical Hilbert space methods and recent p-approximations. This is joint work with Klaus Deckelnick from Magdeburg and Philip Herbert from Sussex.
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
January 2025
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
Location: Endenicher Allee 60, Lipschitz hall
February 2025
Location: Endenicher Allee 60, Lipschitz hall