Math Group on Tour: Presentations in Vienna and Glasgow

With two scientific talks at international conferences, the Mathematics Group of the Institute for Mathematics and Computer-based Simulation once again demonstrated international visibility in the summer of 2025.

Katharina Lorenz presented her talk entitled “Numerical analysis of the Stokes Problem with non-homogeneous Dirichlet boundary conditions” at the 16th Viennese Conference on Optimal Control and Dynamic Games, held in Vienna from July 15 to 18, 2025. The work, developed in collaboration with Johannes Pfefferer and Thomas Apel, addresses a very weak formulation of the Stokes problem for low-regularity Dirichlet boundary data and investigates its finite element discretization using regularization techniques and error estimates. The presentation was part of the session "Recent Progress in PDE Constrained Optimization", organized by Arnd Rösch and Johannes Pfefferer.

Earlier, from June 24 to 27, Philipp Zilk attended the 30th Biennial Conference on Numerical Analysis in Glasgow. He spoke in the minisymposium “Interplay of Solvers, Discretisations and Geometries in the Numerical Approximation of Eigenvalue Problems”, which he co-organized with Fleurianne Bertrand. His contribution, “The Isospectral Problem for Cracks in Membranes: Perspectives from Spectral Geometry and Numerical Simulation”, examines the spectral detectability of cracks in membranes through analytical investigation of the heat trace and numerical simulations based on locally refined isogeometric meshes.