About Me

I am a mathematician specializing in numerical analysis and partial differential equations (PDEs), with a strong focus on engineering applications and computational biophysics. My research bridges mathematical theory, advanced numerical algorithms, and high-performance computing to develop predictive simulation tools for multiphysics systems. Currently, I am a project leader in the Computational Methods for PDEs group at the Johann Radon Institute for Computational and Applied Mathematics (RICAM). I obtained my PhD at the Technical University of Munich under the supervision of Prof. Barbara Wohlmuth.

Research profile and expertise

• Numerical analysis of PDEs: development and analysis of discretization schemes that are stable, structure-preserving, and efficient.
• Model Reduction and Complex Systems: Analysis and simulation of multiphysics problems (e.g., fluid-structure interaction, poroelasticity) and mixed-dimensional models.
• Uncertainty Quantification and Stochastic PDEs: Analysis and computations for systems with random inputs and stochastic effects.
• Control and Stabilization: Feedback control and optimization for PDE systems, linking theoretical analysis with computational approaches.
• Engineering & biomedical applications: Tumor growth models, nonlinear acoustics, peridynamics, anomalous diffusion, and multiphysics coupling.

Applications in Engineering and Applied Sciences

From the viewpoint of applications, my research connects advanced PDE modeling and numerical analysis with a wide spectrum of engineering and biomedical challenges. Current focus areas include:

• Computational biophysics & biomedical engineering: Phase-field and PDE-based modeling of tumor growth, tissue mechanics, and transport phenomena, with relevance to individualized medicine and oncophysics.
• Nonlinear acoustics: Mathematical modeling and simulation of high-intensity ultrasound and nonlinear wave propagation, with applications ranging from medical imaging to acoustic engineering.
• Materials science & fracture mechanics: Nonlocal and peridynamic models for crack initiation and propagation, as well as fractional diffusion equations capturing memory effects and anomalous transport.
• Transport and diffusion in complex media: Fractional and stochastic PDE models describing subdiffusion and transport in heterogeneous environments, with applications in porous media, geophysics, and energy systems.
• Multiphysics & reduced-order modeling: Development of predictive and computationally efficient models for coupled processes such as fluid–structure interaction, poroelasticity, and multiphase flow.