Dr. Matthias Schlottbom
MS research is driven by mathematically tackling real-world challenges with tools from inverse problems, numerical analysis, numerical simulation and optimization. The kind of applications range from optical tomography, over simulation and metrology for (photonic) nanostructures, to biological and socio-economic inverse problems, like formation of biological transportation networks or population dynamics.
Within our research group (Mathematics of Computational Science - MACS), we have a strong team of researchers with complementary knowledge in designing, analyzing and implementing advanced finite element and boundary element solvers. Members of MACS (co)-develop for example the community finite element software packages HPGEM and NGSOLVE or integral equation solvers, like INTI, that offer state-of-the-art codes for solving partial differential equations (PDEs) and high-level optimization using PDE models.
The expertise of the group is further complemented by members of our cluster (Mathematical Analysis, Geometry, Numerics and Systems) with expertise for instance in model order reduction, time series and statistical analysis, or control theory. Next to research in mathematics, we have active collaboration with groups in physics and geosciences.