Research Group: Applied mathematics and computational physics

Our research group works at the interface of applied mathematics, scientific computing, and computational geophysics. We develop, analyze, and implement modern numerical methods and mathematical models for coupled multiscale processes in climate and geophysical systems, as well as in complex non Newtonian fluids.

A central objective of our research is the mathematical understanding and efficient numerical simulation of continuum mechanical models on planar domains and curved surfaces. In particular, we focus on multiscale methods, numerical analysis, and finite element methods, including adaptive discretization techniques, structure-preserving algorithms, and scalable nonlinear solvers. Another research direction involves hybrid data-driven approaches, in particular the combination of neural networks and finite element methods, to augment physics-based models with learning-based components and to develop more efficient and robust simulation methodologies.