$SK$
apl. Prof. Dr. Serge Kräutle

Chair of Applied Mathematics (Modeling and Numerics)
Research associates
Address

Cauerstraße 11 91058 Erlangen
04.337, 04
Contact

Email: serge.kraeutle@fau.de
Phone: +49 9131 85-67213
Lehre im aktuellen Semester:
Publikationen:







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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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)
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Kräutle S.:
Approximationen der Navier-Stokes-Gleichungen mit Finiten Differenzen (Diploma thesis, 1996)
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Prof. Dr. Serge Kräutle

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