Research


My research is focused on the numerics of partial differential equations, scientific computing and software engineering. In the applied part of my work I concentrate on numerical simulation and analysis of complex, real-world problems originating from environmental sciences. To equal shares I apply methods from mathematical analysis, experimental numerics and computer science.

Numerics

  • Algebraic and geometric multigrid methods for discontinuous Galerkin discretizations
  • Iterative solution schemes (multigrid-, domain decomposition-, Krylov subspace methods)
  • Discretization of elliptic and parabolic partial differential equations
  • Non-linear solvers
  • Bifurcation analysis


    Applications

  • Saltwater-intrusion and -upconing
  • Dispersion modeling
  • Inverse modeling
  • Linear and nonlinear instabilities


    Software engineering

  • Development and maintainance of UG
  • Maintainance of d3f
  • Grid generation
  • Program integration


    Cooperations and Projects

  • UG - A flexible Software-Toolbox for Solving partial Differential Equations, Cooperation with Prof. G. Wittum, S. Lang, Heidelberg University
  • Nonlinear Instabilities: The Fingering Experiment, Cooperation with Dr. R. Held (Statoil, Norway), Prof. W. Kinzelbach (ETH Zürich, Switzerland), Dr. S. Oswald (UFZ, Leipzig, Germany)
  • Modeling of dispersive effects in high-concentration gradient porous media, Cooperation with A. Landman, TU Delft, The Netherlands, Prof. Dr. R. Schotting, Utrecht, The Netherlands
  • Multigrid solution techniques for DG methods applied to reactive transport phenomena in environmental sciences, Prof. Dr. M. Wheeler (UT Austin TX, USA)


    (Last Updated: 2005-05-10)