Zurich Colloquium in Applied and Computational Mathematics

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Date / Time

Speaker

Title

Location

2 April 2025
16:30-17:30

Prof. Dr. Pavel Exner
Nuclear Physics Institute of the CAS

Event Details

Speaker invited by

Prof. Dr. Habib Ammari

Abstract

The talk discusses a class of Sch¨odinger operators the potentials of which are channels of a fixed profile, focusing on relations between the spectrum of such an operator and the channel geometry. We provide different sufficient conditions under which a non-straight but asymptotically straight channel gives rise to a non-empty discrete spectrum. We also address the groundstate optimalization problem in case of a loop-shaped configuration, and consider a modification of the model where the channel is replaced by an array of potential wells, each exhibiting a rotational symmetry.

Localized states in soft waveguides and quantum dot arrays

HG G 19.2

9 April 2025
16:30-17:30

Prof. Dr. Michael Dumbser
University of Trento

Event Details

Speaker invited by	Prof. Dr. Rémi Abgrall

On well-balanced finite difference, finite volume and discontinuous Galerkin schemes for the Einstein-Euler system of general relativity

HG G 19.2

7 May 2025
16:30-17:30

Ting Lin
Peking University

Event Details

Speaker invited by

Prof. Dr. Ralf Hiptmair

Abstract

We provide a finite element discretization of $\ell$-form-valued $k$ form in $n$ dimensions for general $k$, $\ell$ and $n$ and polynomial degree. The construction generalizes finite element Whitney forms for the de~Rham complex and their higher-order and distributional versions, the Regge finite elements and the Christiansen--Regge elasticity complex, the TDNNS element for symmetric stress tensors, the MCS element for traceless matrix fields, the Hellan--Herrmann--Johnson (HHJ) elements for biharmonic equations, and discrete divdiv and Hessian complexes in [Hu, Lin, and Zhang, 2025]. The construction discretizes the Bernstein--Gelfand--Gelfand (BGG) diagrams. Applications of the construction include discretization of strain and stress tensors in continuum mechanics and metric and curvature tensors in differential geometry in any dimension. This talk is based on a joint work with Kaibo Hu (Edinburgh).

Finite element form-valued forms: A unified construction

HG G 19.2

14 May 2025
16:30-17:30

Prof. Dr. Michael Feischl
TU Wien

Event Details

Speaker invited by	Prof. Dr. Christoph Schwab

Title T.B.A.

HG G 19.2

21 May 2025
16:30-17:30

Dr. Martin Halla
Karlsruhe Inst. of Technology

Event Details

Speaker invited by	Prof. Dr. Ralf Hiptmair

Title T.B.A.

HG G 19.2

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