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Research Interests, Awards, etc.

Main scientific interests:

  • Multi-component reactive transport in porous media
    • Mathematical modeling
    • Existence of global solutions of reactive transport systems with mass action kinetics
    • Efficient numerical treatment of reactive transport problems (PDE-ODE-DAE systems)
    • Complementarity problems arising from precipitation-dissolution reactions of minerals, semismooth Newton method
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  • Older research topics (before 2002):
    • Domain decomposition methods (CGBI/FETI) and construction of efficient interface-acting preconditioners, and its implementation in a parallel Navier-Stokes solver coupling FE and spectral local solvers
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 Obtained Funds:

  • Efficient Numerical Methods for Large Partial Differential Complementary Systems arising in Multispecies Reactive Transport with Minerals in Porous Media,
    together with Professor Dr. Peter Knabner, Professor Dr. Christian Kanzow (Würzburg),
    DFG (KN 229/12-1), 2007 – 2010
  • Efficient Numerical Methods for Large Partial Differential Complementary Systems arising in Multispecies Reactive Transport with Minerals in Porous Media (Nachfolgeprojekt),
    together with Professor Dr. Peter Knabner, Professor Dr. Christian Kanzow (Würzburg),
    DFG (KN 229/12-2), 2010 – 2013

 

Awards etc.:

 

Some Talks:

  • A global-implicit solver of reactive transport in porous media for efficient numerical solution, Workshop on Reactive Transport Modeling in the Geological Sciences, Institut Henri Poincaré, Paris, France, Nov. 17, 2015
  • Reformulation of multi-component reactive transport problems in porous media, Seminar Biomathematik, Nov. 03, 2015
  • Mathematik in den Geowissenschaften – Reaktiver Transport in porösen Medien, Tag der Erlanger Mathematik, Erlangen, July 17, 2015
  • Efficient numerical simulation of 2D and 3D multicomponent reactive transport, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Padova, Italy, June 17-20, 2013
  • Large scale multicomponent reactive transport processes in the geosciences: Modeling, analysis and efficient simulation, Workshop Microbiology and reactive transport in the capillary fringe, IWR Heidelberg, Oct. 07.-08., 2010
  • Multicomponent reactive transport problems in porous media: Practical computations and existence of global solutions, pdf-file (18MB), AIMS Conference, Dresden, May 26, 2010
  • Efficient numerical simulation of large multi-species reactive transport problems in porous media, Jahrestagung der Fachgruppe Hydrogeologie der DGG, Tübingen, May 13, 2010
  • Efficient Solution of Large Reactive Transport Problems Including Mineral Reactions with the Global Implicit Approach, SIAM Conference, Leipzig, June 15-18, 2009
  • Efficient numerical techniques for multicomponent reactive transport problems with the global-implicit approach, International Conference on Computational Methods in Water Resources (CMWR), San Francisco, USA, July 2008
  • Coupled PDE-ODE-AE-Complementarity problems arising in multispecies reactive flow problems in porous media, GAMM Conference, Bremen, April 01, 2008
  • On the Numerical Treatment of Multi-Component Transport-Reaction Problems in Porous Media,
    INRIA Rocquencourt, France, June 04, 2007
  • Reactions with minerals treated as Complementarity Problems and solved by the Semismooth Newton Method pdf-file (14MB), SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, USA, March 19-22, 2007
  • Reduction of the problem size through linear algebra for the problem of reactive transport in porous media pdf-file (850kB), Joint GAMM-SIAM Conference on Applied Linear Algebra, Düsseldorf, July 2006
  • A new reduction scheme for multi-species transport-reaction problems with mobile and immobile species pdf-file (2.1 MB), CIPR, University of Bergen, Norway, June 16, 2005
  • A new reduction scheme for multi-species transport-reaction problems with mobile and immobile species, SIAM Conference on Mathematical and Numerical Issues in the Geosciences, Avignon, France, 07.-10.06.2005
  • A reduction mechanism for general n-component transport-reaction problems: ps.gz-file (1.5 MB) pdf-file (690 kB), 5th Workshop on Porous Media, Blaubeuren, 02.-03.12.2004
  • Talk at the annual DMV meeting CGBI – A parallelization method for elliptic PDE with applications to the Navier-Stokes equations (Format .ps.gz, 3.2 MB), Rostock, 15.-19.09.2003
  • CGBI – A parallel solver for elliptic PDE with applications to flow problems (Format .ps.gz, 1.6 MB), ETH Zurich, Switzerland, 08.01.2003
  • Status report at the SGI User Meeting of the RRZE: Entwicklung eines neuen parallelen Lösers (CGBI) für Strömungsprobleme, pdf-file (1.5MB), RRZE Erlangen, 19.09.2002
  • Talk A Hybrid Navier-Stokes Solver for Viscous Flow Problems (gezipptes ps, 793 kB) auf der CNRS-DFG-Tagung „9e Colloque Franco-Allemand“ in Nice, France, 26.-27.10.2001
  • Talk The CGBI domain decomposition method for the Navier-Stokes Equations, GAMM Conference, Göttingen, April 2000
  • Talk Viscous Flow Problems / CGBI (gezipptes ps, 188 kB) at the CNRS-DFG-Workshop „6e Colloque Franco-Allemand“ in Marseille, France, 21.-22.11.1997