Research Interests 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 Video: viscoelastic phase separation 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?
Research Interests 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 Video: viscoelastic phase separation 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?