- Multiscale Problems in Soft Matters
- Hyperbolic Systems of Conservation Laws (truly Multidimensional Methods), see video: Stone in Water, video: Multid Acoustic Wave in Heterogeneous Media (computed by M. Kraft)
- Complex Systems of Conservation Laws with Source Terms; Multiscale Problems, Asymptotic Preserving and well-balanced Methods
see video: Perturbation of a Lake at Rest; video: Solitary Wave running up a Conical Island (computed by M. Dudzinski) - Numerical Methods for PDE: Finite Volumes / Finite Elements, convergence analysis in multi-D using Young measures
- Uncertainty Quantification Methods
- Geophysical Flows, Atmospherical Flows
- Mathematical and Numerical Modelling of non-Newtonian Fluids: Viscoelastic, Shear-thinning Fluids
- Application in Hemodynamics: Blood Flow in Elastic Vessels, Fluid-Structure Interaction - Efficient Solution Strategies for a Flow Solver Based on the Discontinuous Galerkin Methods
- Lectures:
- Video: Viscoelastic phase separation
- Video: Compressible Navier-Stokes equations with potential temperature transport
- Video: What can we see as a limit of the structure-preserving numerical methods?