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  2. Applied Mathematics 1
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  4. Prof. Dr. Serge Kräutle

Prof. Dr. Serge Kräutle

In page navigation: Applied Mathematics 1
  • Staff Members A-Z
    • Dr. Rufat Badal
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  • Workshop on Recent Developments in Modelling, Analysis, and Simulation of Processes in Porous Media
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    • Research Group Porous Media
      • Multicomponent reactive transport
      • Multiscale problems in life sciences
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    • 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

Prof. Dr. Serge Kräutle

apl. Prof. Dr. Serge Kräutle, Akad. ORat

Department of Mathematics
Chair of Applied Mathematics (Modeling and Numerics) (Prof. Dr. Burger)

Room: Raum 04.337
Cauerstraße 11
91058 Erlangen
  • Phone number: +49 9131 85-67213
  • Fax number: +49 9131 85-67225
  • Email: kraeutle@math.fau.de
  • Website: http://www.math.fau.de/kraeutle

 

Exercise (UE)

  • Übungen zur Mathematik für Ingenieure C4: INF

    • 2 SWS
    • Date:
      • Mon 16:15-17:45, Room H16 (exclude vac) ICS
      • Wed 14:15-15:45, Room 0.68 (exclude vac) ICS
      • Thu 10:15-11:45, Room 0.85 (exclude vac) ICS
      • Tue 14:15-15:45, Room 0.68 (exclude vac) ICS
      • Mon 10:15-11:45, Room 0.111 (exclude vac) ICS
  • Tutorial to Transport and Reaction in Porous Media: Modeling

    Participants should register for the StudOn course on https://www.studon.fau.de/crs4383258.html The lecture and the tutorial will be given in presence. First lecture on April 26th. There will be no tutorial on April 25th.

    • 0,5 SWS; ECTS studies (ECTS credits: 1), Lecture's language English
    • Date:
      • Mon 8:30-10:00, Room 04.363 (exclude vac) ICS

Lecture (VORL)

  • Mathematik für Ingenieure C4: INF

    • 4 SWS
    • Date:
      • Tue 10:15-11:45, Room H11 (exclude vac) ICS
      • Thu 14:15-15:45, Room H8 (exclude vac) ICS
  • Transport and Reaction in Porous Media: Modeling

    Participants should register for the StudOn course on https://www.studon.fau.de/crs4383258.html
    Further information will be given on studOn.

    • 2 SWS; ECTS studies (ECTS credits: 4)
    • Date:
      • Tue 10:15-11:45, Room Übung 4 / 01.253-128 (exclude vac) ICS

2022

  • Knodel MM., Kräutle S., Knabner P.:
    Global implicit solver for multiphase multicomponent flow in porous media with multiple gas components and general reactions: Global implicit solver for multiple gas components
    In: Computational Geosciences 26 (2022), p. 697-724
    ISSN: 1420-0597
    DOI: 10.1007/s10596-022-10140-y
    URL: https://link.springer.com/article/10.1007/s10596-022-10140-y
    BibTeX: Download

2021

  • Kräutle S., Hodai J., Knabner P.:
    Robust simulation of mineral precipitation-dissolution problems with variable mineral surface area
    In: Journal of Engineering Mathematics 129 (2021)
    ISSN: 0022-0833
    DOI: 10.1007/s10665-021-10132-4
    URL: https://link.springer.com/article/10.1007/s10665-021-10132-4
    BibTeX: Download

2020

  • Knodel M., Kräutle S., Knabner P.:
    Global implicit solver for multiphase multicomponent flow in porous media with multiple gas phases and general reactions
    In: Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, Jürgen Fuhrmann (ed.): Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Heidelberg: Springer, 2020, p. 595-603 (Finite Volumes for Complex Applications, Vol.9)
    ISBN: 978-3-030-43650-6

    DOI: 10.1007/978-3-030-43651-3_56
    URL: https://www1.am.uni-erlangen.de/research/preprint/pr406.pdf
    BibTeX: Download

2017

  • Ginn T., Schreyer L., Sanchez-Vila X., Nassar MK., Ali AA., Kräutle S.:
    Revisiting the Analytical Solution Approach to Mixing-Limited Equilibrium Multicomponent Reactive Transport Using Mixing Ratios: Identification of Basis, Fixing an Error, and Dealing With Multiple Minerals
    In: Water Resources Research 53 (2017), p. 9941-9959
    ISSN: 0043-1397
    DOI: 10.1002/2017WR020759
    URL: https://agupubs.onlinelibrary.wiley.com/doi/full/10.1002/2017WR020759
    BibTeX: Download
  • Hoffmann J., Kräutle S., Knabner P.:
    Existence and uniqueness of a global solution for reactive transport with mineral precipitation-dissolution and aquatic reactions in porous media
    In: SIAM Journal on Mathematical Analysis 49 (2017), p. 4812-4837
    ISSN: 0036-1410
    DOI: 10.1137/16M1109266
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_HoffmannKraeutleKn_ExistenceAndUniquenessOfGlobalSolutionForReactiveTransWithMineralPreDissAndAquaReactInPM
    BibTeX: Download
  • Mahato HS., Kräutle S., Böhm M., Knabner P.:
    Upscaling of a system of semilinear parabolic partial differential equations coupled with a system of nonlinear ordinary differential equations originating in the context of crystal dissolution and precipitation inside a porous medium: existence theory and periodic homogenization
    In: Advances in Mathematical Sciences and Applications 26 (2017), p. 39-81
    ISSN: 1343-4373
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_MahatoKraeutleKnBoehm_UpscalingOfASystemOfDiffusionReactionEquations
    BibTeX: Download

2012

  • Hoffmann J., Kräutle S., Knabner P.:
    A general reduction scheme for reactive transport in porous media
    In: Computational Geosciences 16 (2012), p. 1081-1099
    ISSN: 1420-0597
    DOI: 10.1007/s10596-012-9304-4
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_HoffmannKraeutleKn_AGeneralReductionSchemeForReactTranspInPM
    BibTeX: Download

2011

  • Buchholzer H., Kanzow C., Knabner P., Kräutle S.:
    The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions
    In: Computational Optimization and Applications 50 (2011), p. 193-221
    ISSN: 0926-6003
    DOI: 10.1007/s10589-010-9379-6
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_BuchholzerKanzowKnKraeutle_TheSemismoothNewtonMethodForSolutionIncludeMineral
    BibTeX: Download
  • Kräutle S.:
    Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media
    In: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 1 (2011), p. 497-515
    ISSN: 2156-907X
    DOI: 10.11948/2011034
    BibTeX: Download
  • Kräutle S.:
    The semismooth Newton method for multicomponent reactive transport with minerals
    In: Advances in Water Resources 34 (2011), p. 137-151
    ISSN: 0309-1708
    DOI: 10.1016/j.advwatres.2010.10.004
    URL: http://www.sciencedirect.com/science/article/pii/S0309170810001934
    BibTeX: Download

2010

  • Carrayrou J., Hoffmann J., Knabner P., Kräutle S., de Dieuleveult C., Erhel J., Van der Lee J., Lagneau V., Mayer KU., MacQuarrie KTB.:
    Comparison of numerical methods for simulating strongly nonlinear and heterogeneous reactive transport problems-the MoMaS benchmark case
    In: Computational Geosciences 14 (2010), p. 483-502
    ISSN: 1420-0597
    DOI: 10.1007/s10596-010-9178-2
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_CarrayrouHoffmannKnKraeutleDieuleveultErhel_ComparisonOfNumericalMethodsForSimulStrongNonlinearAndHetere
    BibTeX: Download
  • Hoffmann J., Kräutle S., Knabner P.:
    A parallel global-implicit 2-D solver for reactive transport problems in porous media based on a reduction scheme and its application to the MoMaS benchmark problem
    In: Computational Geosciences 14 (2010), p. 421-433
    ISSN: 1420-0597
    DOI: 10.1007/s10596-009-9173-7
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_HoffmannKraeutleKn_AParallelGlobalimplicit2DSolToTheMoMaSBenchmarkProblem
    BibTeX: Download

2008

  • Hoffmann J., Kräutle S., Knabner P.:
    Computation of the MoMaS Benchmark-Problem with a Parallel Global-Implicit 2-D solver based on a Reformulation of the PDE-ODE System
    International Workshop on Modelling Reactive Transport in Porous Media (Strasbourg)
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_HoffmannKraeutleKn_ComputOfMoMasBenchmProblWthParallGlobImplic2DsolvBasOnAReform
    BibTeX: Download
  • Knabner P., Frank F., Hoffmann J., Kräutle S., Oßmann S., Prechtel A.:
    Entwicklung, Zuverlässigkeit und Effizienz reaktiver Mehrkomponententransportmodelle
    In: KORA - Synopse "Systemanalyse, Modellierung und Prognose der Wirkungen natürlicher Schadstoffminderungsprozesse - eine rezente Synopse", 2008, p. 195-233 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Vol.5)
    BibTeX: Download
  • Kräutle S.:
    General multi-species reactive transport problems in porous media: Efficient numerical approaches and existence of global solutions (Habilitation, 2008)
    URL: https://www1.am.uni-erlangen.de/research/habil/Habil_kraeutle.pdf
    BibTeX: Download

2007

  • Kräutle S., Knabner P.:
    A reduction scheme for coupled multicomponent transport-reaction problems in porous media: Generalization to problems with heterogeneous equilibrium reactions
    In: Water Resources Research 43 (2007), Article No.: W03429
    ISSN: 0043-1397
    DOI: 10.1029/2005WR004465
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2007/2007_KrauutleKn_AReductionSchemeForCoupledMulticomponentTransReactProbInPM
    BibTeX: Download

2006

  • Kräutle S., Knabner P., Hoffmann J.:
    Efficient and Accurate Simulation of Large General Reactive Multicomponent Transport Processes in Porous Media by Model-Preserving Decoupling Techniques
    International Conference on Computational Methods in Water Resources (Kopenhagen)
    DOI: 10.4122/1.1000000224
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_KraeutleKnHoffmann_EfficAccurSimulOfLargeGenerReactiveMulticompTranspProcessInPMbyModelPreservDecoupTechn
    BibTeX: Download
  • Prechtel A., Hoffmann J., Kräutle S., Knabner P.:
    Reaktive Mehrkomponentenprobleme: Sicherung von Effizienz und Zuverlässigkeit
    In: Modellierung und Prognose von Natural Attenuation-Prozessen im Untergrund, Dresden: , 2006, p. 75-90 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Vol.3)
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_PrechtelHoffmannKraeutleKn_ReaktiveMehrKomponentenProblemeEffizienzUndZuverlaessigkeit
    BibTeX: Download

2005

  • Knabner P., Kräutle S., Oßmann S., Prechtel A.:
    Modellierung des reaktiven Transports von Schadstoffen in der (un-)gesättigten Bodenzone zur Prognose der natürlichen Selbstreinigung - Komplexe Probleme berechenbar machen
    In: Dechema (ed.): Statusseminar Forschungsverbund KORA - Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Grundwässer und Böden, Frankfurt a. M.: , 2005, p. 417-427
    ISBN: 389746071X

    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KnKraeutleOssmannPrechtel_Proj73ModellDesReaktTranspVonSchadstInDer(un)gesättBodenzonePrognSelbstreinig
    BibTeX: Download
  • Kräutle S.:
    A domain decomposition method using efficient interface-acting preconditioners
    In: Mathematics of Computation 74 (2005), p. 1231-1256
    ISSN: 0025-5718
    DOI: 10.1090/S0025-5718-04-01706-5
    URL: https://www.ams.org/journals/mcom/2005-74-251/S0025-5718-04-01706-5/S0025-5718-04-01706-5.pdf
    BibTeX: Download
  • Kräutle S., Bause M., Prechtel A., Radu AF., Knabner P.:
    ParRichy: Parallel Simulation of Bioreactive Multicomponent Transport Processes in Porous Media
    In: Arndt Bode, Franz Durst (ed.): High Performance Computing in Science and Engineering, Garching 2004, Berlin, Heidelberg: Springer, 2005, p. 181-192
    ISBN: 978-3-540-26145-2

    DOI: 10.1007/3-540-28555-5_16
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KraeutleBausePrechtelRaduKn_ParRichyParallSimulOfBioreactMulticompTrnsptProcessInPM
    BibTeX: Download
  • Kräutle S., Knabner P.:
    A new numerical reduction scheme for fully coupled multicomponent transport-reaction problems in porous media
    In: Water Resources Research 41 (2005), p. 1-17
    ISSN: 0043-1397
    DOI: 10.1029/2004WR003624
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KraeutleKn_ANewNumericalReductionSchemeForFullyCoupledMultiCompTransReactionProbInPM
    BibTeX: Download

2003

  • Borchers W., Kräutle S., Pasquetti R., Peyret R., Rautmann R.:
    Multi-domain finite element - Spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems
    In: Ernst Heinrich Hirschel (ed.): Numerical Flow Simulation III, Berlin Heidelberg: Vieweg, 2003, p. 3-17 (Notes on Numerical Fluid Mechanics, Vol.82)
    ISBN: 978-3-540-44130-4

    DOI: 10.1007/978-3-540-45693-3_1
    BibTeX: Download

2001

  • Borchers W., Kräutle S., Pasquetti R., Rautmann R., Roß N., Wielage K., Xu C.:
    Towards a parallel hybrid highly accurate Navier-Stokes solver
    In: Ernst Heinrich Hirschel (ed.): Numerical Flow Simulation II, Berlin Heidelberg: Springer, 2001, p. 3-18 (Notes on Numerical Fluid Mechanics, Vol.75)
    ISBN: 978-3-642-07485-1

    DOI: 10.1007/978-3-540-44567-8_1
    BibTeX: Download
  • Kräutle S.:
    A Navier-Stokes solver based on CGBI and the method of characteristics (Dissertation, 2001)
    URL: https://www1.am.uni-erlangen.de/research/diss/PhD_Kraeutle.pdf
    BibTeX: Download
  • Kräutle S., Wielage K.:
    Numerical results for the CGBI method to viscous channel flow
    In: Rodolfo Salvi (ed.): The Navier-Stokes Equations: Theory and Numerical Methods, 2001, p. 247-255 (Lecture Notes in Pure and Applied Mathematics, Vol.223)
    ISBN: 9780824706722

    BibTeX: Download
  • Kräutle S., Wielage K.:
    The CGBI method for viscous channel flows and its preconditioning
    In: Nonlinear Analysis - Theory Methods & Applications 47 (2001), p. 4193-4203
    ISSN: 0362-546X
    DOI: 10.1016/S0362-546X(01)00536-3
    URL: http://www.sciencedirect.com/science/article/pii/S0362546X01005363
    BibTeX: Download

1998

  • Borchers W., Forestier Y., Kräutle S., Pasquetti R., Peyret R., Rautmann R., Roß N., Sabbah C.:
    A Parallel Hybrid Highly Accurate Elliptic Solver for Viscous Flow Problems
    In: Ernst Heinrich Hirschel (ed.): Numerical Flow Simulation I, Berlin Heidelberg: Springer, 1998, p. 3-24 (Notes on Numerical Fluid Mechanics, Vol.66)
    ISBN: 978-3-642-53590-1

    DOI: 10.1007/978-3-540-44437-4_1
    URL: http://link.springer.com/chapter/10.1007%2F978-3-540-44437-4_1
    BibTeX: Download

1996

  • Kräutle S.:
    Approximationen der Navier-Stokes-Gleichungen mit Finiten Differenzen (Diploma thesis, 1996)
    BibTeX: Download
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