Richard von Mises Lecture 2018stoA


15:00-15:05 Opening of the 2018 Richard-von-Mises-Lecture
15:05-15:45 Historical Talk:
Leopold Kronecker, ein konfliktiver Gelehrter? (Professor Bernd Bank)
15:45-16:15 Coffee Break
16:15-17:15 Richard-von-Mises-Lecture:
Finite element approximation of the Maxwell eigenvalue problem (Professor Daniele Boffi)
17:15-18:00 Reception and Get-Together


Finite element approximation of the Maxwell eigenvalue problem
Professor Daniele Boffi (Università di Pavia)

The Maxwell eigenvalue problem has always been a challenging research area for numerical analysts. The a priori error analysis for its finite element approximation is nowadays a well-understood and classical topic, including its several variations (h-version, p-version, discontinuous Galerkin, regularized and penalty formulations, etc.). The fundamental tools (sometimes behind the scenes, but always present) for the study of this problem are related to de Rham complex and discrete differential forms. After reviewing this fascinating research area, we present our latest result concerning the convergence of the adaptive scheme naturally associated with the edge finite element approximation of the Maxwell eigenvalue problem. The analysis extends, in a non trivial way, recent results on the analogous approximation of eigenvalue elliptic problems in mixed form.

Leopold Kronecker, ein konfliktiver Gelehrter?
Professor Bernd Bank (Humboldt-Universität zu Berlin)

Leopold Kronecker was in the second half of the 19th century one of the most influential mathematicians in Berlin, who as a very wealthy man could conduct mathematics as a concentrated passion. He held rigerous views on the foundations of mathematics (e.g. all mathematics is based on the natural numbers). His manner to reflect and judge the work of colleagues on this basis poisoned relations with famous coevals: Weierstrass, Cantor, Dedekind, Mittag-Leffler, Jordan, ...