My research is concerned with the design and the analysis of numerical methods for the approximation of partial differential equations (PDEs), with a particular focus on finite element methods (FEMs). My scientific interests range from theoretical questions in numerical mathematics (e.g., a posteriori error analysis, convergence and optimality of adaptive finite element schemes) and computational uncertainty quantification (stochastic Galerkin FEM for PDEs with parametric or random input) to the design and analysis of effective approximation methods for (nonlinear) PDEs in materials science and engineering (e.g., in micromagnetics, quantum mechanics, and liquid crystal theory).
Conference:9th International Conference on Computational Methods in Applied Mathematics (CMAM 2020/21). September 13-17, 2021. TU Wien.
Conference:13th International Symposium on Hysteresis Modeling and Micromagnetics (HMM 2021). May 31 - June 2, 2021. TU Wien.Postponed to a future date!
- December 3, 2020.A new ASC preprint is available at this link. In this work, I propose, analyze, and numerically compare two numerical schemes for the inertial Landau-Lifshitz-Gilbert equation.
- October 30, 2020.A new preprint is available at arXiv:2010.15541. Together with Elisa Davoli, Giovanni Di Fratta, and Dirk Praetorius, we rigorously derive and numerically investigate a novel thin-film limit of the micromagnetic energy functional in the presence of bulk Dzyaloshinskii–Moriya interaction.
- October 1, 2020.Begin of the new semester at TU Wien. This semester I am teaching Introduction to programming (EPROG) for bachelor students in Technical Mathematics.
Last Update: December 3, 2020