Institute of Mechanics

In my research, I focus on the development of numerical methods for the solution of partial differential equations (PDEs), which arise in many areas of science and engineering. One such approach is the finite element method (FEM), where my focus is on high-order schemes to enhance the convergence properties and, thus, the efficiency of simulations. Especially, the p-version of FEM and the spectral element method (SEM) are of interest to me. Due to the fact that FE-based techniques are reliant on geometry-conforming spatial discretizations, a second focus of my research activities is on fictitious domain methods, often also referred to as embedded domain or immersed boundary methods. Here, I specialize in the so-called finite cell method (FCM). The main advantage of such approaches is seen in the fact that they allow for a fully automated simulation framework. One area of application of the mentioned methods is in structural dynamics and particularly in wave propagation analysis. In this context, structural health monitoring (SHM) problems are an important part of ongoing investigations.