Publications – Department Mathematik

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$Department Mathematik$

Publications of Serge Kräutle

Link to my publications in Google Scholar (H-Index=11)

Link to my publications in Web of Knowledge (H-Index=8)

Link to my publications in Scopus (H-Index=7)

`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), S. 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 (Hrsg.): Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Heidelberg: Springer, 2020, S. 595-603 (Finite Volumes for Complex Applications, Bd.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), S. 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), S. 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), S. 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), S. 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), S. 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), S. 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), S. 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), S. 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), S. 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, S. 195-233 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Bd.5) BibTeX: Download
Kräutle S.: General multi-species reactive transport problems in porous media: Efficient numerical approaches and existence of global solutions (Habilitationsschrift, 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), Art.Nr.: 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, S. 75-90 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Bd.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 (Hrsg.): Statusseminar Forschungsverbund KORA - Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Grundwässer und Böden, Frankfurt a. M.: , 2005, S. 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), S. 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 (Hrsg.): High Performance Computing in Science and Engineering, Garching 2004, Berlin, Heidelberg: Springer, 2005, S. 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), S. 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 (Hrsg.): Numerical Flow Simulation III, Berlin Heidelberg: Vieweg, 2003, S. 3-17 (Notes on Numerical Fluid Mechanics, Bd.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 (Hrsg.): Numerical Flow Simulation II, Berlin Heidelberg: Springer, 2001, S. 3-18 (Notes on Numerical Fluid Mechanics, Bd.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 (Hrsg.): The Navier-Stokes Equations: Theory and Numerical Methods, 2001, S. 247-255 (Lecture Notes in Pure and Applied Mathematics, Bd.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), S. 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 (Hrsg.): Numerical Flow Simulation I, Berlin Heidelberg: Springer, 1998, S. 3-24 (Notes on Numerical Fluid Mechanics, Bd.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 (Diplomarbeit, 1996) BibTeX: Download