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Research

In page navigation: Applied Mathematics 1
  • Staff Members A-Z
    • Dr. Rufat Badal
    • Apratim Bhattacharya
    • Astrid Bigott
    • Prof. Dr. Martin Burger
    • Sebastian Czop
    • Prof. Dr. Günther Grün
    • Lea Föcke
    • Prof. Dr. Manuel Friedrich
    • Samira Kabri
    • Lorenz Klein
    • Jonas Knoch
    • Prof. Dr. Serge Kräutle
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      • Research
    • Prof. Dr. Wilhelm Merz
      • Research
    • Dr. Stefan Metzger
    • PD Dr. Maria Neuss-Radu
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      • Anne Petzold
    • Dr. Alexander Prechtel
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    • Dr. Nadja Ray
    • Doris Schneider
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    • Dr. habil. Raphael Schulz
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    • Joscha Seutter
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    • Simon Zech
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  • Workshop on Recent Developments in Modelling, Analysis, and Simulation of Processes in Porous Media
  • Research
    • Overview of Habilitation and Dissertation Theses
    • Research Group Porous Media
      • Multicomponent reactive transport
      • Multiscale problems in life sciences
      • Geophysical flows
      • Multiphase flow in porous media
      • Emergence in porous media
      • Stochastic modelling of porous media
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    • Dr. Vadym Aizinger
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    • Dr. Leon Bungert
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  • Upcoming events
    • 50 Years Applied Mathematics
    • Math meets Reality
    • Mathematical Modeling of Biomedical Problems
    • PDEs meet uncertainty
    • Short Course: Stochastic Compactness and SPDEs
    • Workshop on Modelling, Analysis and Simulation of Processes in Porous Media
      • Program – Workshop on Modelling, Analysis and Simulation of Processes in Porous Media
      • Program – Workshop Porous Media

Research

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
      Read more
  • 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
      Read more

 

 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:

  • Prize for ”the most innovative method” for the solution of the MoMaS benchmark problem on reactive problems (3000 Eur) to J. Hoffmann, S. Kräutle, P. Knabner, 2009 (”the method … gives very accurate solutions and reduces significantly the computing time”)
  • Editors’ Citation for Excellence in Refereeing, 2017, from Water Resources Research / AGU (American Geophysical Union), link

 

Some Talks:

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Erlangen-Nürnberg

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