Our aim is to improve the understanding of geodynamic processes operating inside the solid Earth and their surface manifestation at a broad range of spatial and temporal scales through advanced numerical modeling. Our research focii are located at both plate boundaries and within the plate interiors, inside the deep mantle and at the surface. We constrain our models by multidisciplinary surface observations acquired by the GFZ and the international scientific community and look for practical applications of fundamental research, like tsunami early warning and hazard assessment. To approach our aims, we develop our own numerical methods and tools, but also extensively employ and co-develop numerical techniques provided by the international community.