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Scientific interests

physically consistent discretizations of convection-diffusion problems and incompressible flow problems
reduced order methods for convection-diffusion problems and incompressible flow problems
These interests are based on the other/former topics
finite element discretizations for problems arising in CFD
stabilized methods for convection-dominated problems
numerical analysis and simulation of turbulent flows, large eddy simulation (LES), variational multiscale methods (VMS)
Topics with occasional recent contributions
methods from machine learning for the numerical solution of partial differential equations
applications, e.g., in hemodynamics
adaptive methods and a posteriori error estimators for partial differential equations coming from fluid dynamics

Former scientific interests

numerical simulation of population balance systems
efficient and robust multigrid based solvers for the numerical solution of the incompressible Navier-Stokes equations