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Error estimates for completely discrete FEM in energy-type and weaker norms
In: Numerical Methods For Partial Differential Equations (2024)
ISSN: 0749-159X
DOI: 10.1002/num.23106
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Local existence of strong solutions to micro-macro models for reactive transport in evolving porous media
In: European Journal of Applied Mathematics 35 (2024), S. 127-154
ISSN: 0956-7925
DOI: 10.1017/S095679252300013X
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Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps
In: GEM - International Journal on Geomathematics 14 (2023), Art.Nr.: 18
ISSN: 1869-2672
DOI: 10.1007/s13137-023-00228-7
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Efficient numerical solution of micro-macro models for multicomponent transport and reaction problems in porous media
In: Applicable Analysis (2022)
ISSN: 0003-6811
DOI: 10.1080/00036811.2022.2097906
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Efficiency of micro-macro models for reactive two-mineral systems
In: Multiscale Modeling & Simulation 20 (2022), S. 433-461
ISSN: 1540-3459
DOI: 10.1137/20M1380648
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Comparison study of phase-field and level-set method for three-phase systems including two minerals
In: Computational Geosciences 26 (2022), S. 545 - 570
ISSN: 1420-0597
DOI: 10.1007/s10596-022-10142-w
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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
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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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Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach
In: Multiscale Modeling & Simulation 19 (2021), S. 320-343
ISSN: 1540-3459
DOI: 10.1137/19M1287705
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Numerical benchmark study for flow in highly heterogeneous aquifers
In: Advances in Water Resources (2020), S. 103558
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2020.103558
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Efficiency and Accuracy of Micro-Macro Models for Mineral Dissolution
In: Water Resources Research 56 (2020), Art.Nr.: e2020WR027585
ISSN: 0043-1397
DOI: 10.1029/2020WR027585
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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
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FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods
In: Computers & Mathematics with Applications (2020)
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2020.08.018
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FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface
In: Communications in Computational Physics 28 (2020), S. 827-876
ISSN: 1815-2406
DOI: 10.4208/cicp.OA-2019-0132
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A global implicit solver for miscible reactive multiphase multicomponent flow in porous media
In: Computational Geosciences 23 (2019), S. 127-148
ISSN: 1420-0597
DOI: 10.1007/s10596-018-9788-7
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Multiphase, multicomponent flow in deformable porous media: modelling and simulation (Dedicated to Prof. Dr.-Ing. Rainer Helmig on the occasion of his 60th birthday)
In: Computational Geosciences 23 (2019), S. 203-205
ISSN: 1420-0597
DOI: 10.1007/s10596-019-9814-4
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Mit Mathe richtig anfangen Eine Einführung mit integrierter Anwendung der Programmiersprache Python
Berlin Heidelberg: Springer Spektrum, 2019
ISBN: 978-3-662-59229-8
DOI: 10.1007/978-3-662-59230-4
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Multiscale Approaches in Reactive Transport Modeling
In: Reviews in Mineralogy & Geochemistry 85 (2019), S. 27-48
ISSN: 1529-6466
DOI: 10.2138/rmg.2019.85.2
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Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
In: Computers & Mathematics with Applications 77 (2019), S. 2291-2309
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2018.12.020
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_ReuterRuppAizingerKn_DiscontGalerkinMethForCouplHydrostFreeSurfaceFlowsToSaturSubsurfSyst
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Beyond Kozeny-Carman: Predicting the Permeability in Porous Media
In: Transport in Porous Media (2019)
ISSN: 0169-3913
DOI: 10.1007/s11242-019-01321-y
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Wavelet-Based Priors Accelerate Maximum-a-Posteriori Optimization in Bayesian Inverse Problems
In: Methodology and Computing in Applied Probability 22 (2019), S. 853-879
ISSN: 1387-5841
DOI: 10.1007/s11009-019-09736-2
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Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow
In: Computational Geosciences 22 (2018), S. 179-194
ISSN: 1420-0597
DOI: 10.1007/s10596-017-9682-8
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_AizingerRuppSchuetzKn_AnalysisOfAMixedDiscontinuousGalerkinForDarcyFlow
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EFFECTIVE INTERFACE CONDITIONS FOR PROCESSES THROUGH THIN HETEROGENEOUS LAYERS WITH NONLINEAR TRANSMISSION AT THE MICROSCOPIC BULK-LAYER INTERFACE
In: Networks and Heterogeneous Media 13 (2018), S. 609-640
ISSN: 1556-1801
DOI: 10.3934/nhm.2018028
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_GahnNeussraduKn_EffectInterfCondForProcThrouThinHeterogenLayerWthNonlinearTransmissAtTeMicroscBulklayerInterface
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FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
In: Computers & Mathematics with Applications 75 (2018), S. 4505-4533
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2018.03.045
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_JaustReuterAizingerSchuetzKn_FestungAMatlabGnuPartIIIHDG
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Lineare Algebra. Grundlagen und Anwendungen, 2. Auflage
Springer, 2018
ISBN: 978-3-662-55599-6
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Old and New Approaches Predicting the Diffusion in Porous Media
In: Transport in Porous Media 124 (2018), S. 803-824
ISSN: 0169-3913
DOI: 10.1007/s11242-018-1099-x
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_RayRuppSchulzKn_OldAndNewApproachesPredictingTheDiffInPM
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A local discontinuous Galerkin scheme for Darcy flow with internal jumps
In: Computational Geosciences 22 (2018), S. 1149-1159
ISSN: 1420-0597
DOI: 10.1007/s10596-018-9743-7
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_RuppKnDawson_ALocalDiscontinuousGalerkinSchemeForDarcy
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Mathematical Modeling
Springer International Publishing, 2017
(Springer Undergraduate Mathematics Series)
ISBN: 978-3-319-55160-9
DOI: 10.1007/978-3-319-55161-6
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Convergence analysis of a BDF2/mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51 (2017), S. 1883-1902
ISSN: 0764-583X
DOI: 10.1051/m2an/2017002
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_FrankKn_ConvergenceAnalysisOfBDFDarcyNernstPlanckPoissonSystem
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Derivation of an Effective Model for Metabolic Processes in Living Cells Including Substrate Channeling
In: Vietnam Journal of Mathematics 45 (2017), S. 265-293
ISSN: 0866-7179
DOI: 10.1007/s10013-016-0227-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GahnNeussraduKn_DerivationOfAnEffectiveModelForMetaProcSubstrateChanneling
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DERIVATION OF EFFECTIVE TRANSMISSION CONDITIONS FOR DOMAINS SEPARATED BY A MEMBRANE FOR DIFFERENT SCALING OF MEMBRANE DIFFUSIVITY
In: Discrete and Continuous Dynamical Systems 10 (2017), S. 773-797
ISSN: 1078-0947
DOI: 10.3934/dcdss.2017039
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_GahnNeussraduKn_DerivOfEffectTransmissConditForDomainSeparByMembraneForDiffScalOfMembrDiffusivity
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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
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A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity
In: Vietnam Journal of Mathematics (2017), S. 179-198
ISSN: 0866-7179
DOI: 10.1007/s10013-016-0214-y
URL: https://link.springer.com/content/pdf/10.1007/s10013-016-0214-y.pdf
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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
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Endlich gelöst! Aufgaben zur Mathematik für Ingenieure und Naturwissenschaftler Band 2: Analysis in R^n und gewöhnliche Differentialgleichungen
Springer Spektrum, 2017
ISBN: 978-3-662-54782-3
DOI: 10.1007/978-3-662-54783-0
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Mathematik für Inenieure und Naturwissenschaftler: Band 2 Analysis in R^n und gewöhnliche Differentialgleichungen
Springer Spektrum, 2017
ISBN: 978-3-662-54780-9
DOI: 10.1007/978-3-662-54781-6
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Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow
In: Numerical Methods For Partial Differential Equations 33 (2017), S. 1374-1394
ISSN: 0749-159X
DOI: 10.1002/num.22150
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_RuppKn_ConvergenceOrderEstimatesOfTheLocalDisGMForInstDarcyFlow
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An effective model for biofilm growth made by chemotactical bacteria in evolving porous media
In: SIAM Journal on Applied Mathematics 77 (2017), S. 1653-1677
ISSN: 0036-1399
DOI: 10.1137/16M108817X
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_SchulzKn_AnEffectiveModelForBiofilmGrowthInEvolvinPM
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Derivation and analysis of an effective model for biofilm growth in evolving porous media
In: Mathematical Methods in the Applied Sciences 40 (2017), S. 2930-2948
ISSN: 0170-4214
DOI: 10.1002/mma.4211
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_SchulzKn_DerivAnalysOfEffectModelForBiofilmGrowthInEvolvPM
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Analysis of a Modified Second-Order Mixed Hybrid $BDM_1$ Finite Element Method for Transport Problems in Divergence Form
In: SIAM Journal on Numerical Analysis 54 (2016), S. 2359-2378
ISSN: 0036-1429
DOI: 10.1137/15M1035379
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_BrunnerFischerKn_AnalysisOfModifSecondOrderMixBDMInDivergenceForm
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Model-Based Design of Biochemical Microreactors
In: Frontiers in Bioengineering and Biotechnology (2016)
ISSN: 2296-4185
DOI: 10.3389/fbioe.2016.00013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ElbingerGahnNeusRaduHanteVollLeugering_ModelBasedDesignOfBioMicroReact
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HOMOGENIZATION OF REACTION-DIFFUSION PROCESSES IN A TWO-COMPONENT POROUS MEDIUM WITH NONLINEAR FLUX CONDITIONS AT THE INTERFACE
In: SIAM Journal on Applied Mathematics 76 (2016), S. 1819-1843
ISSN: 0036-1399
DOI: 10.1137/15M1018484
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GahnNeussraduKn_HomoOfReactionDiffusionWirhNonlinearFluxCondition
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FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting
In: Computers & Mathematics with Applications 72 (2016), S. 1896-1925
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.08.006
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ReuterAizingerWielandFrankKn_FestungAMatLabGnuPartII
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Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium
In: European Journal of Applied Mathematics (2016), S. 1-29
ISSN: 0956-7925
DOI: 10.1017/S0956792516000164
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_SchulzRayFrankMahatoKn_StrongSolvUpToCloggingInAnEvolvingPM
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A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
In: Advances in Water Resources 96 (2016), S. 55-67
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2016.06.012
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_SchuelerSuciuKnAttinger_ATimeDependMixModelToClosePDFequatForTranspInHeterogAquifers
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Towards a filtered density function approach for reactive transport in groundwater
In: Advances in Water Resources 90 (2016), S. 83-98
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2016.02.016
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_SuciuSchuelerAttingerKn_TowardsFilterDensityFunctApproaForReactTranspInGroundwater
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Simulation of Processes in Living Cells: Towards the Modelling of Metabolic Channeling
In: A. Ibrahimbegovic, J.-M. Ghidaglia, A. Serdarevic, E. Ilic- Georgijevic, M. Hrasnica, S. Dolarevic, N. Ademovic (Hrsg.): 2nd International Conference on Multi-scale Computational Methods for Solids and Fluids, 2015, S. 44-47
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_Proc_ElbingerGahnNeussraduKn_SimulOfProcessInLivCellsTowardsModellingOfMetaboliChannel
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FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator
In: Computers & Mathematics with Applications 70 (2015), S. 11 - 46
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2015.04.013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_FrankReuterAizingerKn_FestungAMatlabGnuPartIDiffusionOperator
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Multiscale modeling of colloidal dynamics in porous media including aggregation and deposition
In: Advances in Water Resources 86 (2015), S. 209-216
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2015.10.005
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_KrehelMunteanKn_MultiscModelOfColloidDynamInPMinclAggregDepos
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Upscaling the flow and transport in an evolving porous medium with general interaction potentials
In: SIAM Journal on Applied Mathematics 75 (2015), S. 2170-2192
ISSN: 0036-1399
DOI: 10.1137/140990292
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_RayElbingerKn_UpscalingFlowTransInAnEvolvingPMWithGeneralInterPotentials
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Solute transport in aquifers with evolving scale heterogeneity
In: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica 23 (2015), S. 167-186
ISSN: 1844-0835
DOI: 10.1515/auom-2015-0054
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_SuciuAttingerRaduVamocsVanderborghtVereeckenKn_SoluteTransportinAquifersWithEvolvingScaleHetereo
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A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media
In: Journal of Computational and Applied Mathematics 289 (2015), S. 241-252
ISSN: 0377-0427
DOI: 10.1016/j.cam.2015.01.030
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_SuciuRaduAttingerSchuelerKn_AFokkerPlanckApproachForProbabDistrOfSpecConcTransInHetrogeneousMedia
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Consistency issues in pdf methods
In: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica 23 (2015), S. 187-208
ISSN: 1844-0835
DOI: 10.1515/auom-2015-0055
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_SuciuSchuelerRaduAttingerVamosKn_ConsistencyIssuesInPDFMethods
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FV upwind stabilization of FE discretizations for advection-diffusion problems
7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7 (Berlin, 15.06.2014 - 20.06.2014)
In: Fuhrmann Jürgen, Ohlberger Mario, Rohde Christian (Hrsg.): Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 2014
DOI: 10.1007/978-3-319-05684-5_16
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2014/2014_BrunnerFrankKn_FVUpwindStabOfFEForAdvancedDiffProblems
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Analysis of an upwind-mixed hybrid finite element method for transport problems
In: SIAM Journal on Numerical Analysis 52 (2014), S. 83-102
ISSN: 0036-1429
DOI: 10.1137/130908191
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2014/2014_BrunnerRaduKn_AnalysisOfAnUpwindMixedHyTransProblems
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Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture
In: ESAIM: Mathematical Modelling and Numerical Analysis 48 (2014), S. 1451-1472
ISSN: 1290-3841
DOI: 10.1051/m2an/2014003
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2014/2014_KnRoberts_MathemAnalysisOfDiscrFractModelCouplDarcyFlowInMatrixWthDarcyForchheimer
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Results of the MoMaS benchmark for gas phase appearance and disappearance using generalized MHFE
In: Advances in Water Resources 73 (2014), S. 74-96
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2014.07.005
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2014/2014_MarchandKn_ResulOfMoMaBenchmForGasPhasAppearAndDisappearUsingGeneralMHFE
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Endlich gelöst! Aufgaben zur Mathematik für Ingenieure und Naturwissenschaftler
Berlin-Heidelberg: Springer, 2014
(Springer-Lehrbuch)
ISBN: 978-3-642-54528-3
DOI: 10.1007/978-3-642-54529-0
URL: http://www.springer.com/us/book/9783642545283
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Lineare Algebra: Grundlagen und Anwendungen
Berlin-Heidelberg: Springer, 2013
(Springer-Lehrbuch)
ISBN: 978-3-642-32185-6
DOI: 10.1007/978-3-642-32186-3
URL: http://www.springer.com/de/book/9783642321856#aboutBook
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Special issue "Mathematics of Porous Media," dedicated to Professor C.J. van Duijn on the occasion of his 60th anniversary
In: Computational Geosciences 17 (2013), S. 443-445
ISSN: 1420-0597
DOI: 10.1007/s10596-013-9348-0
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_KnMikelicPop_SpecialIssueProfDuijn60thAnniversary
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Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. Part I: Formulation and properties of the mathematical model
In: Computational Geosciences 17 (2013), S. 431-442
ISSN: 1420-0597
DOI: 10.1007/s10596-013-9341-7
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_MarchandMuellerKn_FullyCoupledGeneralizedHybridMixedFinEleApproxPartI
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Mathematik für Ingenieure und Naturwissenschaftler
Berlin-Heidelberg: Springer, 2013
(Springer-Lehrbuch)
ISBN: 978-3-642-29979-7
DOI: 10.1007/978-3-642-29980-3
URL: http://www.springer.com/de/book/9783642299797
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Drug release from collagen matrices including an evolving microstructure
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 93 (2013), S. 811-822
ISSN: 0044-2267
DOI: 10.1002/zamm.201200196
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_RayNoordenRaduFriessKn_DrugReleaseFromCollMatIncludAnEvolvingMicrostruct
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A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity
In: Journal of Computational and Applied Mathematics 246 (2013), S. 27-37
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.06.027
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_SuciuRaduPrechtelBrunnerKn_ACoupledFiniteElementGlobalRandomWalkApproach
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An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems
In: Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (Hrsg.): Numerical Mathematics and Advanced Applications 2011, Berlin Heidelberg: Springer, 2012, S. 247-255
ISBN: 978-3-642-33133-6
DOI: 10.1007/978-3-642-33134-3_27
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BauseBrunnerKnRadu_AnImprOptimOrdMixFinitElemMethodForSemilinTranspProbl
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Optimal order convergence of a modified BDM 1 mixed finite element scheme for reactive transport in porous media
In: Advances in Water Resources 35 (2012), S. 163-171
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2011.10.001
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BrunnerRaduBauseKn_OptimalOrderConvergenceOfModifiedBDMMixedFiniteInPM
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Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system
In: GAMM-Mitteilungen 35 (2012), S. 191-208
ISSN: 0936-7195
DOI: 10.1002/gamm.201210013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_HerzRayKn_ExistAndUniqueOfGlobWeakSolutionDarcyNernPlanPoissSystem
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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
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Fully coupled generalised hybrid-mixed finite element approximation of two-phase two-component flow in porous media. Part II: Numerical scheme and numerical results
In: Computational Geosciences 16 (2012), S. 691-708
ISSN: 1420-0597
DOI: 10.1007/s10596-012-9279-1
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_MarchandMuellerKn_FullyCoupledGeneralisedHybridMixedFinEleApproxOf2ph2compFlowInPMPartII
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Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system
In: Journal of Mathematical Analysis and Applications 390 (2012), S. 374-393
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.01.052
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_RayMunteanKn_RigHomoOfStokesNernstPlanckPoissSystem
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Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure
In: Transport in Porous Media 95 (2012), S. 669-696
ISSN: 0169-3913
DOI: 10.1007/s11242-012-0068-z
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_RayNoordenFrankKn_MultiscaleModelOfColloidAndFluidDynInPMinclAnEvolvMicrostr
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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
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Mathematische Modellierung
Berlin Heidelberg: Springer, 2011
(Springer-Lehrbuch)
ISBN: 978-3-642-18423-9
DOI: 10.1007/978-3-642-18424-6
URL: http://www.springer.com/de/book/9783642184239#aboutBook
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Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems
In: Computing and Visualization in Science 14 (2011), S. 385-400
ISSN: 1432-9360
DOI: 10.1007/s00791-013-0189-0
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_FrankRayKn_NumericalInvestiOfHomogeStokNernPlanPoissSystmes
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Drug release from collagen matrices and transport phenomena in porous media including an evolving microstructure
11th Conference on Mathematical Methods in Science and Engineering (Alicante)
In: Proceedings of the 11th International Conference on Mathematical Methods in Science and Engineering 2011
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_KnRayRadu_DrugReleaseFromCollagMatrTranspPhenomInPMIncludAnEvolvMicrostruct
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Variable Choices of Scaling in the Homogenization of a Nernst-Planck-Poisson Problem
In: The Preprint-Series of the Institute of Applied Mathematics 344 (2011), S. 1-32
ISSN: 1435-5833
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_RayEckMunteanKn_VarChoiOfScalInTheHomogeniOfNernstPlanPoiProblem
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Solute transport in aquifers with evolving scale heterogeneity
In: The Preprint-Series of the Institute of Applied Mathematics 346 (2011), S. 1-18
ISSN: 1435-5833
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_SuciuAttingerRaduVamosVanderborghtVereeckenKn_SolTranspInAquifWthEvolvScaleHeterogen
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Global Random Walk simulations for sensitivity and uncertainty analysis of passive transport models
In: Mathematics and its Applications : Annals of the Academy of Romanian Scientists 3 (2011), S. 218-234
ISSN: 2066-5997
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_SuciuVamosVereeckenKn_GlobalRandomWalkSimuForSensAndUncertAnalysisOfPassiveTransModels
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First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods
In: Numerische Mathematik 116 (2010), S. 1-29
ISSN: 0029-599X
DOI: 10.1007/s00211-010-0290-y
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_BauseHoffmannKn_FirstorderConvergenceOfMultiPointFlux
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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
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Reactive transport benchmark of MoMaS
In: Computational Geosciences 14 (2010), S. 385-392
ISSN: 1420-0597
DOI: 10.1007/s10596-009-9157-7
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_CarrayrouKernKn_ReactiveTransportBenchmarkOfMoMaS
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Error estimates for a finite element discretization of a phase field model for mixtures
In: SIAM Journal on Numerical Analysis 47 (2010), S. 4429-4445
ISSN: 0036-1429
DOI: 10.1137/050637984
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_EckJadambaKn_ErrorEstimatesForFiniteElementDiscreOfAPhaseFieldModelForMix
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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
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Numerical simulation of drug release from collagen matrices by Enzymatic degradation
In: Computing and Visualization in Science 12 (2009), S. 409-420
ISSN: 1432-9360
DOI: 10.1007/s00791-008-0118-9
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_RaduBauseKnFriessMetzmacher_NumericalSimulationOfDrugReleaFromCollagenMetricsByEnzymDegrad
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Comment on "Spatial moments analysis of kinetically sorbing solutes in aquifer with bimodal permeability distribution" by M. Massabó, A. Bellin, and A. J. Valocchi
In: Water Resources Research 45 (2009), Art.Nr.: W05601
ISSN: 0043-1397
DOI: 10.1029/2008WR007498
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_SuciuKn_CommentOnSpitalMomentsAnalysisByMassaboBerlinValocchi
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Persistent memory of diffusing particles
In: Physical Review E 80 (2009), Art.Nr.: 061134
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.80.061134
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_SuciuVamosRaduVereeckenKn_PersistMemoryOfDiffParticles
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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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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)
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Grundlagen der Systemanalyse, Modellierung und Prognose
In: KORA - Synopse "Systemanalyse, Modellierung und Prognose der Wirkungen natürlicher Schadstoffminderungsprozesse - eine rezente Synopse", 2008, S. 1-81 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Bd.5)
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_LucknerSommerLucknerBilekKnPrechtel_GrundlagenDerSystemanalyseModellierungUndPrognose
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Error estimates for a mixed finite element discretization of some degenerate parabolic equations
In: Numerische Mathematik 109 (2008), S. 285-311
ISSN: 0029-599X
DOI: 10.1007/s00211-008-0139-9
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_RaduPopKn_ErrorEstimatesForAMixedFiniteElementParabEqua
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Ito equation model for dispersion of solutes in heterogeneous media
In: Revue d'Analyse Numérique et de Théorie de l'Approximation 37 (2008), S. 221-238
ISSN: 1222-9024
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_SuciuVamosVereeckenSabelfeldKn_ItoEquationModelForDisOfSolutesInHeteroMedia
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Memory effects induced by dependence on initial conditions and ergodicity of transport in heterogeneous media
In: Water Resources Research 44 (2008), Art.Nr.: W08501
ISSN: 0043-1397
DOI: 10.1029/2007WR006740
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_SuciuVamosVereeckenSabelfeldKn_MemoryEffectsInducedByDependOnIntialCondAndErgodicity
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Open Questions and Research Directions in Parameter Identification for Multicomponent Reactive Transport in Porous Media
In: The Preprint-Series of the Institute of Applied Mathematics 315 (2007)
ISSN: 1435-5833
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2007/2007_Kn_OpenQuestionsAndResearchDirectionsInParaIdentForMultiReactiveTransInPM
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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
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A model describing the effect of enzymatic degradation on drug release from collagen minirods
In: European Journal of Pharmaceutics and Biopharmaceutics 67 (2007), S. 349-360
ISSN: 0939-6411
DOI: 10.1016/j.ejpb.2007.02.013
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2007/2007_MetzmacherRaduBauseKnFriess_ModelDescrTheEffectOfEnzymDegradOnDrugReleaseFmCollagMinirods
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Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soil
In: Proceedings in Applied Mathematics and Mechanics 7 (2007), S. 1024705-1024706
ISSN: 1617-7061
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2007/2007_RaduPopAttingerKn_ErrorEstimatesForAnEulerImplicitMIxedFiniteElementScheme
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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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Natural Attenuation: hohe Anforderungen an die Modellsimulation Teilprojekt 6 des BayFoNA: Modellierung
In: Grundwasser 11 (2006), S. 217-225
ISSN: 1430-483X
DOI: 10.1007/s00767-006-0147-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_PrechtelBitterlichRaduKn_NaturalAttenuationHoheAnforderAnModellSimulation
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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
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Newton - Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations
In: Alfredo Bermúdez de Castro, Dolores Gómez, Peregrina Quintela, Pilar Salgado (Hrsg.): Numerical Mathematics and Advanced Applications, Berlin, Heidelberg: Springer, 2006, S. 1192-1200
ISBN: 978-3-540-34287-8
DOI: 10.1007/978-3-540-34288-5_120
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_RaduPopKn_NewtonTypMethFrMixedFinitElemtDiscretizOfSomeDegeneraParabolEquat
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Unbiased identification of nonlinear sorption characteristics by soil column breakthrough experiments
In: Computational Geosciences 9 (2005), S. 203-217
ISSN: 1420-0597
DOI: 10.1007/s10596-005-9008-0
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_IglerTotscheKn_UnbiasIdentOfNonlinSorptCharactBySoilColumBreakthrExperim
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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
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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
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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
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Biased Global Random Walk, a Cellular Automaton for Diffusion
Simulationstechnique. 18th Symposium in Erlangen. September 2005 (Erlangen)
In: Simulationstechnique. 18th Symposium in Erlangen. September 2005, Erlangen: 2005
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_SuciuVamosKnRuede_BiasGlobRandWalkCellAutomForDiffus
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Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods
In: Advances in Water Resources 27 (2004), S. 565-581
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2004.03.005
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_ComputOfVariabSaturSubsurfFlowByAdaptMixHyridFinitElemtMeth
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Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping
In: Computing and Visualization in Science 7 (2004), S. 61-78
ISSN: 1432-9360
DOI: 10.1007/s00791-004-0139-y
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_NumericalSimulationOfContaminaBiodegradTimeStepping
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On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems
In: Calcolo 41 (2004), S. 1-26
ISSN: 0008-0624
DOI: 10.1007/s10092-004-0081-x
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_OnUniformConvergenceRatesForEulerianLagrangianFinElemApproxOfConvDominDiffProbl
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Inverse estimation of the unsaturated soil hydraulic properties from column outflow experiments using free-form parameterizations
In: Vadose Zone Journal 3 (2004), S. 971-981
ISSN: 1539-1663
DOI: 10.2113/3.3.971
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BitterlichDurnerIdenKn_InverseEstimationOfTheUnsaturatedSoilHydraulPropFromColumnOutlowExperiments
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Numerical methods for the determination of material properties in soil science
In: Inverse Problems in Science and Engineering 12 (2004), S. 361-378
ISSN: 1741-5977
DOI: 10.1080/10682760310001597482
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BitterlichKn_NumericMethForDeterminOfMaterPropertInSoilScience
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Mixed finite elements for the Richards' equation: Linearization procedure
In: Journal of Computational and Applied Mathematics 168 (2004), S. 365-373
ISSN: 0377-0427
DOI: 10.1016/j.cam.2003.04.008
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_PopRaduKn_MixedFiniteElementsForRichardsEquationLinearProcedure
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Order of convergence estimates for an Euler implicit, mixed finite element discretization of Richards' equation
In: SIAM Journal on Numerical Analysis 42 (2004), S. 1452-1478
ISSN: 0036-1429
DOI: 10.1137/S0036142902405229
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_RaduPopKn_OrderOfConvergenceEstimatesForAnEulerImplicitMixFiniteElementDiscreRichardsEquation
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A priori error estimates for a mixed finite element discretization of the Richards' equation
In: Numerische Mathematik 98 (2004), S. 353-370
ISSN: 0029-599X
DOI: 10.1007/s00211-003-0509-2
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_SchneidKnRadu_APrioriErrorEstimatesForAMixedRichardsEquation
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Experimental design for outflow experiments based on a multi-level identification method for material laws
In: Inverse Problems 19 (2003), S. 1011-1030
ISSN: 0266-5611
DOI: 10.1088/0266-5611/19/5/302
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_BtterlichKn_ExpDesginForOutflowExperimentBasedOnAMultiLevelIdentification
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Numerical Methods for Elliptic and Parabolic Partial Differential Equations
New York: Springer, 2003
(Texts in Applied Mathematics, Bd.44)
ISBN: 978-0-387-95449-3
DOI: 10.1007/b97419
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Influence of Surfactants on Spreading of Contaminants and Soil Remediation
In: Willi Jäger, Hans-Joachim Krebs (Hrsg.): Mathematics - Key Technology for the Future, Berlin, Heidelberg: Springer, 2003, S. 152-161
ISBN: 978-3-642-62914-3
DOI: 10.1007/978-3-642-55753-8_12
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_KnBitterlichTeranPrechtelSchneid_InfluOfSurfactOnSpreadOfContaminSoilRemed
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Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements
In: Finite Elements in Analysis and Design 40 (2003), S. 159-172
ISSN: 0168-874X
DOI: 10.1016/S0168-874X(02)00196-8
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_KnKorotovSumm_ConditionsForTheInvertOfTheIsoparaMappingForHexFiniteElements
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Uniform error analysis for Lagrange-Galerkin approximations of convection-dominated problems
In: SIAM Journal on Numerical Analysis 39 (2002), S. 1954-1984
ISSN: 0036-1429
DOI: 10.1137/S0036142900367478
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_BauseKn_UniformErrAnalysisForLangrGalerkinApproxOfConveDominaProb
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Adaptive and formfree identification of nonlinearities in fluid flow from column experiments
In: Zhangxin Chen, Richard E. Ewing (Hrsg.): Fluid flow and transport in porous media: mathematical and numerical treatment, American Mathematical Society, 2002, S. 63-74 (Contemporary Mathematics, Bd.295)
DOI: 10.1090/conm/295
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An efficient method for solving an inverse problem for the Richards equation
In: Journal of Computational and Applied Mathematics 147 (2002), S. 153-173
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(02)00430-2
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_BitterlichKn_AnEfficientMethodForSolvAnInversProbForRichardsEquation
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A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure
In: Michael Breuer, Franz Durst, Christoph Zenger (Hrsg.): High Performance Scientific And Engineering Computing, Berlin, Heidelberg: Springer, 2002, S. 237-244 (Lecture Notes in Computational Science and Engineering, Bd.21)
ISBN: 978-3-540-42946-3
DOI: 10.1007/978-3-642-55919-8_26
URL: http://link.springer.com/chapter/10.1007%2F978-3-642-55919-8_26
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Two-Scale Models for Liquid-Solid Phase Transitions in Binary Material with Equiaxed Microstructure
In: Nenad Antonić, C. J. van Duijn, Willi Jäger, Andro Mikelić (Hrsg.): Multiscale Problems in Science and Technology, Berlin, Heidelberg: Springer, 2002, S. 175-187
ISBN: 978-3-540-43584-6
DOI: 10.1007/978-3-642-56200-6_7
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_EckKn_2ScaleModelsForLiquidSolidPhaseTransitInBinaryMatWithEquiaxMicrostruct
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A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure
In: Journal of Computational Physics 178 (2002), S. 58-80
ISSN: 0021-9991
DOI: 10.1006/jcph.2002.7018
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_EckKnKorotov_ATwoScaleMethodForTheComputationOfSolidLiquidPhaseTransitions
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Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media
In: Michael Breuer, Franz Durst, Christoph Zenger (Hrsg.): High Performance Scientific And Engineering Computing, Berlin, Heidelberg: Springer, 2002, S. 37-44 (Lecture Notes in Computational Science and Engineering, Bd.21)
ISBN: 978-3-540-42946-3
DOI: 10.1007/978-3-642-55919-8_4
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_KnSchneid_AdaptHybridMixedFiniteElementDiscretiOfInstatVariablySaturFlowInPM
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Accurate and efficient simulation of coupled water flow and nonlinear reactive transport in the saturated and vadose zone-application to surfactant enhanced and intrinsic bioremediation
In: S. Majid Hassanizadeh, Ruud J. Schotting, William G. Gray and George F. Pinder (Hrsg.): Computational Methods in Water Resources, 2002, S. 687-694 (Computational Methods in Water Resources, Proceedings of the XIV International Conference on Computational Methods in Water Resources (CMWR XIV), Bd.47)
ISBN: 978-0-444-50975-8
DOI: 10.1016/S0167-5648(02)80125-3
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_PrechtelKn_AccurEfficSimuOfCouplWaterFlow+nonlinReactTransp
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Simulation of carrier-facilitated transport of phenanthrene in a layered soil profile
In: Journal of Contaminant Hydrology 56 (2002), S. 209-225
ISSN: 0169-7722
DOI: 10.1016/S0169-7722(01)00211-X
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_PrechtelKnSchneidTotsche_SimulationOfCarrFaciTrnasportOfPhenanInALayerSoilProfile
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Modeling of Drug Release From Collagen Matrices
In: Journal of Pharmaceutical Sciences 91 (2002), S. 964-972
ISSN: 0022-3549
DOI: 10.1002/jps.10098
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_RaduBauseKnLeeFriess_ModelingOfDrugReleaseFromCollagenMatrices
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Formfree and Cascadic Identification of Material Laws in (Un)Saturated Fluid Flow from Column Experiments
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 81 (2001), S. 13-16
ISSN: 0044-2267
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_BitterlichKn_FormfreeAndCascadicIdentificationOfMaterialLawsL
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Conditions for the Invertibility of the Isoparametric Mapping for 3D Multilinear Finite Elements
GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms (Leipzig)
In: Hackbusch W, Langer U (Hrsg.): 17th GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms 2001
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_SummKnKorotov_CondForTheInvertibOfTheIsoparametMappFor3DmultilinFinitElem
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The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements
In: Numerische Mathematik 88 (2001), S. 661-681
ISSN: 0029-599X
DOI: 10.1007/PL00005454
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_KnSumm_TheInvertibilityOfTheIsoparameForPyramidalAndPrismaticFinEle
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Adaptivity in the finite volume discretization of variable density flows in porous media
In: Physics and Chemistry of the Earth, Part B 26 (2001), S. 319-324
ISSN: 1464-1909
DOI: 10.1016/S1464-1909(01)00013-2
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2001/2001_KnTappThiele_AdaptivityInTheFiniteVolumeDiscretizationOfVarDensFlowsinPM
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Numerik partieller Differentialgleichungen
Berlin-Heidelberg: Springer, 2000
(Springer-Lehrbuch Masterclass)
ISBN: 978-3-540-66231-0
DOI: 10.1007/978-3-642-57181-7
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2000/2000_BUCH_KnAngermann_NumerikPartiellerDifferentialgleichEineAnwendungsorientEinfuehrung
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Structural Identification of Nonlinear Coefficient Functions in Transport Processes through Porous Media
In: Hans-Joachim Bungartz, Ronald H. W. Hoppe, Christoph Zenger (Hrsg.): Lectures on Applied Mathematics, Berlin, Heidelberg: Springer, 2000, S. 157-175
ISBN: 978-3-642-64094-0
DOI: 10.1007/978-3-642-59709-1_12
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2000/2000_KnIgler_StructIdentifOfNonlinCoeffFunctInTranspProcessThroughPM
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Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions
In: Nonlinear Analysis - Theory Methods & Applications 42 (2000), S. 381-403
ISSN: 0362-546X
DOI: 10.1016/S0362-546X(98)00352-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2000/2000_KnOtto_SoluteTrnasInPMWithEquilibriumAndNonequilibriumMultiSiteAdsoprtion
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A comprehensive tool for the simulation of complex reactive transport and flow in soils
In: Land Contamination and Reclamation 8 (2000), S. 357-365
ISSN: 0967-0513
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2000/2000_SchneidPrechtelKn_AComperToolForTheSimulaOfComplexReactiveTransport
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Numerical Bifurcation Analysis of Premixed Combustion in Porous Inert Media
In: Hans-Joachim Bungartz, Franz Durst, Christoph Zenger (Hrsg.): High Performance Scientific and Engineering Computing, Berlin, Heidelberg: Springer, 1999, S. 39-50 (Lecture Notes in Computational Science and Engineering, Bd.8)
DOI: 10.1007/978-3-642-60155-2_4
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1999/1999_NeefKnSumm_NumericalBifurcationAnalysisOfPremixedCombInPorInertMed
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Transient Numerical Simulation of Combustion in Inert Porous Media
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 79 (1999), S. 45-48
ISSN: 0044-2267
DOI: 10.1002/zamm.19990791312
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1999/1999_KnNeefSumm_TranNumSimulationOfCombInInertPM
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Hybrid Mixed Discretization Methods for Combustion Problems in Porous Media
In: al. FK (Hrsg.): Scientific Computing in Chemical Engineering II 1999
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1999/1999_KnSumm_HybMixDiscretMethodsForCombProbInPM
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An error estimator for a finite volume discretization of density driven flow in porous media
In: Applied Numerical Mathematics 26 (1998), S. 179-191
ISSN: 0168-9274
DOI: 10.1016/S0168-9274(97)00084-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_AngermannKnThiele_ErrorEstimForFiniteVolDiscretOfDensDrivFlowInPM
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An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-lipschitzian adsorption kinetics
In: SIAM Journal on Numerical Analysis 35 (1998), S. 1862-1882
ISSN: 0036-1429
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_BarrettKn_ImprErrBoundForLagrGalerkMethForContTranspNonLipAdsKinet
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Identification of Nonlinear Sorption Isotherms by Soil Column Breakthrough Experiments
In: Physics and Chemistry of the Earth 23 (1998), S. 215-219
ISSN: 0079-1946
DOI: 10.1016/S0079-1946(98)00016-0
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_IglerTotscheKn_IdentOfNonlinSorpIsothBySoilColBreakthExp
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Identification of Nonlinearities in PDEs: Sorption Isotherms in Reactive Flow Through Porous Media
ENUMATH 97 (Singapore)
In: Bock H (Hrsg.): ENUMATH 97, World Scientific, Singapore 1998
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_IglerKn_IdentifOfNonlinearitInPDEsSorptIsothermInReactFlowThroughPM
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Adaptive Finite Volume Discretization of Density Driven Flows in Porous Media
In: Acta Mathematica Universitatis Comenianae 67 (1998), S. 115-136
ISSN: 0862-9544
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_KnTappThiele_AdFinVolDiscretOfDensDrivFlowsInPM
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An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions
In: Advances in Water Resources 22 (1998), S. 1-16
ISSN: 0309-1708
DOI: 10.1016/S0309-1708(97)00038-9
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_DuijnKnSchotting_AnalysCrystDissolFroInFlowThrPMPart2IncompBoundCondi.pdf
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A case study on the influence of sorption inhomogeneities on the migration of contaminants
In: Environmental Sciences (B3110), INIS, 1998, S. 317-326
ISBN: 92-64-16099-X
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_LuehrmannFeinKn_CaseStudyOnTheInfluenOfSorptInhomogenOnMigrationOfContaminants
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Modellierung des kolloidgetragenen Stofftransports angewandt auf Eu-Humat-Migrationsexperimente
Uranium Mining and Hydrogeology II (Freiberg, 15.09.1998 - 17.09.1998)
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_LuehrmannKlotzKnNoseck_ModellierDesKolloidgetrStofftrnspAngewAufEuHumatMigrationsex
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Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption
In: Rainer Helmig, Willi Jäger, Wolfgang Kinzelbach, Peter Knabner, Gabriel Wittum (Hrsg.): Modeling and Computation in Environmental Sciences, Braunschweig, Wiesbaden: Vieweg+Teubner, 1997, S. 36-48 (Notes on Numerical Fluid Mechanics, Bd.59)
DOI: 10.1007/978-3-322-89565-3_4
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_BarrettKappmeierKn_LagrangeGalerkinApproxWithNonlinearNonequilibAdsorption
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Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
In: SIAM Journal on Numerical Analysis 34 (1997), S. 201-227
ISSN: 0036-1429
DOI: 10.1137/S0036142993249024
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_BarrettKn_FinEleApprOfTranspOfReactSolutInPMPart1
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Finite element approximation of the transport of reactive solutes in porous media. part II: Error estimates for equilibrium adsorption processes
In: SIAM Journal on Numerical Analysis 34 (1997), S. 455-479
ISSN: 0036-1429
DOI: 10.1137/S0036142993258191
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_BarrettKn_FinEleApprOfTranspOfReactSolutInPMPart2
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Trägerbeeinflußter und lösungsvermittelter Transport von Umweltchemikalien in porösen Medien
In: Karl-Heinz Hoffmann, Willi Jäger, Thomas Lohmann, Hermann Schunck (Hrsg.): Mathematik Schlüsseltechnologie für die Zukunft, Berlin, Heidelberg: Springer, 1997, S. 231-241
DOI: 10.1007/978-3-642-60550-5_20
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_IglerKappmeierSchneidKnHempfling_TraegerUndLoesungsverTransportVonUmweltchemikalienInPM
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Numerical Solution of Unsteady Saturated/Unsaturated Flow Through Porous Media
In: Numerical Modelling in Continuum Mechanics, Part II 1997
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_KnSchneid_NumericSolOfUnsteadySatUnsatFlowThrPM
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Travelling wave behaviour of crystal dissolution in porous media flow
In: European Journal of Applied Mathematics 8 (1997), S. 49-72
ISSN: 0956-7925
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_DuijnKn_TravWaveBehavOfCrystDissInPMflow
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Consistent Velocity Approximations in Finite Element or Volume Discretizations of Density Driven Flow
In: Computational Methods in Water Resources, Computational Mechanics Publication, Southampton, 1996, S. 93–100
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1996/1996_KnFrolkovic_ConsVeloApprForFinVolOrElemtDiscrOfDensDrivFlowInPM
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Qualitative Properties of a Model for Carrier Facilitated Groundwater Contaminant Transport
In: Frerich Keil, Wolfgang Mackens, Heinrich Voß, Joachim Werther (Hrsg.): Scientific Computing in Chemical Engineering, Berlin, Heidelberg: Springer, 1996, S. 129-135
ISBN: 978-3-642-80151-8
DOI: 10.1007/978-3-642-80149-5_14
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1996/1996_KnSchneid_QualPropOfAModelForCarrierFaciliGroundwaterContTrans
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The modeling of reactive solute transport with sorption to mobile and immobile sorbents. 1. Experimental evidence and model development
In: Water Resources Research 32 (1996), S. 1611-1622
ISSN: 0043-1397
DOI: 10.1029/95WR02994
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1996/1996_KnTotscheKoegelkn_ModelOfReactSolutTranspWthsorptToMobImmobSorbP1
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The modeling of reactive solute transport with sorption to mobile and immobile sorbents. 2. Model discussion and numerical simulation
In: Water Resources Research 32 (1996), S. 1623-1634
ISSN: 0043-1397
DOI: 10.1029/95WR02993
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1996/1996_KnTotscheKoegelkn_ModelOfReactSolutTranspWthsorptToMobImmobSorbP2
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Crystal dissolution in porous media flow
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 76 (1996), S. 329-332
ISSN: 0044-2267
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1996/1996_DuijnKn_CrystDissolInPMFlow
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Analysis and Finite Element Approximation of Transport of Reactive Solutes in Porous Media
In: Alain Bourgeat et al. (Hrsg.): Mathematical Modelling of Flow through Porous Media 1995
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An analysis of crystal dissolution fronts in flows through porous media. Part 1: Compatible boundary conditions
In: Advances in Water Resources 18 (1995), S. 171-185
ISSN: 0309-1708
DOI: 10.1016/0309-1708(95)00005-4
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1995/1995_KnDuijnHengst_AnalysOfCrystDissolFroInFlowsThPM Part1CompBoundCond
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Lagrange-Galerkin Approximation of Advection-Dominated Nonlinear Contaminant Transport in Porous Media
In: Computational Methods in Water Resources, 1994, S. 299-308
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1994/1994_KnBarrettKappmeier_LagrGalApprxOfAdvectDominNonlinContamTrspInPM
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Flow and reactive transport in porous media induced by well injection: Similarity solution
In: IMA Journal of Applied Mathematics 52 (1994), S. 177-200
ISSN: 0272-4960
DOI: 10.1093/imamat/52.2.177
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1994/1994_DuijnKn_FlwReactTrnspInPMInducedByWellInjectSimSol
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CARRIER INFLUENCED TRANSPORT OF POLLUTANTS IN POROUS MEDIA: MATHEMATICAL MODELLING
In: Contaminated Soil '93, Dordrecht: Springer, 1993, S. 163-172 (Soil and Environment, Bd.2)
ISBN: 978-94-010-4892-7
DOI: 10.1007/978-94-011-2018-0_31
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1993/1993_KnKoegelknabTotsche_CarrInfluencedTransOfPollutantsInPM
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Travelling waves during the transport of reactive solute in porous media: Combination of Langmuir and Freundlich isotherms
In: Advances in Water Resources 16 (1993), S. 97-105
ISSN: 0309-1708
DOI: 10.1016/0309-1708(93)90001-V
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1993/1993_DuijnKnZee_TravlWaveDurTrspOfReactSoluteInPMCombOfLangFreundl
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A Transport Model with Micro- and Macro-Structure
In: Journal of Differential Equations 98 (1992), S. 328-354
ISSN: 0022-0396
DOI: 10.1016/0022-0396(92)90096-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1992/1992_FriedmannKn_TrnspModelWithMicroAndMacroStruct
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Finite-Element-Approximation of Solute Transport in Porous Media with General Adsorption Processes
In: Gilding Brian Howard, Hornung Ulrich, Van Duijn C J (Hrsg.): Flow And Transport In Porous Media - Proceedings Of The Summer School, World Scientific, 1992, S. 223-292
ISBN: 9814507334, 978981450733
DOI: 10.1142/9789814368438_0003
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1991/1991_Kn_FinElemApproxOfSolTranspInPMwthGenAdsorptProcesses
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Travelling Waves in the Transport of Reactive Solutes through Porous Media: Adsorption and Binary Ion Exchange - Part 1
In: Transport in Porous Media 8 (1992), S. 167-194
ISSN: 0169-3913
DOI: 10.1007/BF00617116
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1992/1992_DuijnKn_TravellingWavesThroughPMAdsorptionPart1
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Travelling Waves in the Transport of Reactive Solutes through Porous Media: Adsorption and Binary Ion Exchange - Part 2*
In: Transport in Porous Media 8 (1992), S. 199-225
ISSN: 0169-3913
DOI: 10.1007/BF00618542
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1992
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Adaptive Methods for Parameter Identification in Ground Water Hydrology
In: Advances in Water Resources 14 (1991), S. 220-239
ISSN: 0309-1708
DOI: 10.1016/0309-1708(91)90036-N
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1991/1991_HoffmannKnSeifert_AdaptMethForParamIdentInGrndWatHydrology
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Mathematische Modelle für Transport und Sorption gelöster Stoffe in porösen Medien
Peter Lang, 1991
(Methoden und Verfahren der mathematischen Physik)
ISBN: 9783631437186
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Das Finite-Element-Programm FELIPE: Programmbeschreibung und Benutzerhandbuch, Version 1.2
Augsburg, 1991
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Travelling Wave Solutions of a System of Nonlinear Diffusion Equations with Integral Term
In: Zeitschrift für Analysis und ihre Anwendungen 10 (1991), S. 503-512
ISSN: 0232-2064
DOI: 10.4171/ZAA/471
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1991/1991_KnWolfersdorf_TrvlWaveSolOfASystOfNonlinDiffusEquaWthIntegrTerm
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Dissolved Organic Matter as Carrier for Exogenous Organic Chemicals in Soils
In: W.S. Wilson (Hrsg.): Advances in Soil Organic Matter Research, Woodhead Publising Ltd., 1991, S. 121-128
ISBN: 978-1-85573-813-3
DOI: 10.1016/B978-1-85573-813-3.50016-0
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1991/1991_KoegelknKnDeschauer_DissolOrganMattAsCarrFrExogenOrgChemicInSoils
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Solute Transport in porous media with equilibrium and non-equilibrium multiple-site adsorption: Travelling waves
In: Journal für die reine und angewandte Mathematik 1991 (1991), S. 1-50
ISSN: 0075-4102
DOI: 10.1515/crll.1991.415.1
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Enhanced Leaching of Organic Chemicals in Soils due to Binding to Dissolved Organic Carbon?
In: F. Arendt, M. Hinsenveld, W. J. Van Den Brink (Hrsg.): Contaminated Soil '90, Dordrecht: Springer, 1990, S. 323-329
ISBN: 978-94-010-5443-0
DOI: 10.1007/978-94-011-3270-1_72
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1990/1990_KoegelknKnDeschauer_EnhancLeachOfOrganChemicInSoilsDueToBindToDissolvOrganCarbon
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The Optimal Stability Estimate for some Ill-posed Cauchy Problems for a Parabolic Equation
In: Mathematical Methods in the Applied Sciences 10 (1988), S. 575-583
ISSN: 0170-4214
DOI: 10.1002/mma.1670100507
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1988/1988_KnVessella_TheOptimStabilEstimForSomeIllposedCauchyProblForAParabolEquation
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Finite Element Simulation of Saturated-Unsaturated Flow through Porous Media
In: P. Deuflhard B. Engquist (Hrsg.): Large Scale Scientific Computing, Boston: Birkhäuser, 1987, S. 83-93 (Progress in Scientific Computing, Bd.7)
ISBN: 978-1-4684-6756-7
DOI: 10.1007/978-1-4684-6754-3_6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1987/1987_Kn_FinitElementSimulOfSaturUnsaturFlowThroughPM
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Stability Estimates for Ill-Posed Cauchy Problems for Parabolic Equations
In: Heinz W. Engl and C.W. Groetsch (Hrsg.): Inverse and Ill-posed Problems, Academic Press, 1987, S. 351-368 (Inverse and Ill-Posed Problems, Bd.4)
ISBN: 978-0-12-239040-1
DOI: 10.1016/C2013-0-10621-6
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1987/1987_KnVessella_StabilityEstimatesForIIIPosedCauchyProblForParabolEqua
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Stabilization of Ill-Posed Cauchy Problems for Parabolic Equations
In: Annali Di Matematica Pura Ed Applicata 149 (1987), S. 393-409
ISSN: 0373-3114
DOI: 10.1007/BF01773944
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1987/1987_KnVessella_StabilizationOfIllPosedCauchyProblemsForParaEquation
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A Free Boundary Problem Arising from the Leaching of Saline Soils
In: SIAM Journal on Mathematical Analysis 17 (1986)
ISSN: 0036-1410
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1986/1986_Kn_FreeBoundProblmArisFmTheLeachOfSalineSoils
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Global Existence in a General Stefan-like Problem
In: Journal of Mathematical Analysis and Applications (1986), S. 543-559
ISSN: 0022-247X
Open Access: https://core.ac.uk/download/pdf/82198033.pdf
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1986/1986_Kn_GlobalExistInAGenStefanLikeProblm
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Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization
In: Numerische Mathematik 46 (1985), S. 429-442
ISSN: 0029-599X
DOI: 10.1007/BF01389495
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1985/1985_Kn_ControlOfStefanProblemsByMeansLinearQuadraticDefMini
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Regularization of the Cauchy Problem for the Heat Equation by Norm Bounds
In: Applicable Analysis, London: Gordon and Breach Science Publishers, Inc., 1984, S. 295-311
DOI: 10.1080/00036818408839503
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1984/1984_Kn_RegularizOfTheCauchyProblForTheHeatEquatByNormBounds
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Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions
In: Improperly Posed Problems and Their Numerical Treatment, Basel: Birkhäuser, 1983, S. 165-177 (International Series of Numerical Mathematics, Bd.63)
ISBN: 978-3-0348-5462-7
DOI: 10.1007/978-3-0348-5460-3_12
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1983/1983_Kn_RegularizingTheCauchyProblForTheHeatEquatiBySignRestrict
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Stability Theorems for General Free Boundary Problems of the Stefan Type and Applications
In: Rudolf Gorenflo, Karl-Heinz Hoffmann (Hrsg.): Applied nonlinear Functional Analysis, Frankfurt am Main: Verlag Peter Lang, 1983 (Methoden und Verfahren der mathematischen Physik, Bd.25)
ISBN: 3820472975, 9783820472974
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1982/1982_Kn_StabilityTheoremsForGenFreeBoundProblOfTheStefanTypeAndAppl
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Das inverse Stefan Problem - Ein Vergleich verschiedener Fragestellungen
In: J. Albrecht, L. Collatz, K.-H. Hoffmann (Hrsg.): Numerische Behandlung freier Randwertaufgaben, Basel: Birkhäuser Verlag, 1982, S. 145-160 (International Series of Numerical Mathematics, Bd.58)
ISBN: 978-3-0348-6565-4
DOI: 10.1007/978-3-0348-6563-0_11
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1982/1982_Kn_DasinverseStefanProblemEinVerglVerschFragestellungen
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Freie Randwertprobleme
In: Prof. Dr. Günter Meinardus (Hrsg.): Approximatiion in Theorie und Praxis, Mannheim: Bibliographisches Institut, 1979
ISBN: 3411015675
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_1979/1979_HoffmannKn_FreieRandwertprobleme
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Mittelgeber: DFG / Graduiertenkolleg (GRK)
Akronym: IntComSin
Projektleitung:
Laufzeit: 01.01.2012 - 31.12.2013
Mittelgeber: Deutscher Akademischer Austauschdienst (DAAD)
Projektleitung:
Mittelgeber: Deutscher Akademischer Austauschdienst (DAAD)
Projektleitung:
Nonlinear (multiphase) flow and reactive multicomponent transport problems in highly heterogeneous porous media and their numerical simulation are of great interest for evaluating site remediation, energy exploitation or CO2 sequestration scenarios. The resulting advection-diffusion-reaction-systems are coupled nonlinear parabolic partial differential equations, and we have parabolic or elliptic nonlinear flow equations, possibly degenerate. The development of convergent and efficient numerica…
Laufzeit: 01.10.2009 - 30.09.2011
Mittelgeber: Bundesministerium für Forschung, Technologie und Raumfahrt (BMFTR)
Projektleitung:
Mittelgeber: Bundesministerium für Forschung, Technologie und Raumfahrt (BMFTR)
Projektleitung:
The project was a cooperation of a group of applied mathematicians with the Russian company Aeroservice for the development and optimization of new photocatalytic filter systems for air cleaning of nanoparticles and organic substances with the help of mathematical simulation tools. For the simulation of aerosol transport in the filter made of polypropylene fibers, which is used in hospitals or airports, e.g., mathematical models and efficient solution algorithms had to be developed. These allow…
Laufzeit: 01.01.2007 - 31.12.2011
Mittelgeber: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Projektleitung: ,
Mittelgeber: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Projektleitung: ,
The project focuses on the accurate and efficient numerical treatment of time-dependent reactive transport problems with many species (in porous media) in 2 or 3 space dimensions with local complementarity conditions as essential ingredient. The problem takes the form of a differential algebraic set of equations and complementarity constraints, consisting of time dependent (possibly convection-dominated) semilinear partial differential equations (PDEs), nonlinear ordinary differential equations,…
Laufzeit: 01.11.2006 - 31.12.2009
Mittelgeber: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Projektleitung:
Mittelgeber: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Projektleitung:
Soil colloids may influence the interaction between solutes and the immobile solid phase. A coupling to the fluid transport is possible by processes of sedimentation, flocculation, precipitation, filtration and deposition. The objective of this research project is the qualitative and quantitative examination of the crucial aspects of colloidal-influenced solute- and fluid transport by means of systematic, prognostic simulation. In detail,the attachment and detachment of colloids under considerat…
Laufzeit: 01.06.2006 - 30.04.2010
Mittelgeber: Bayerisches Staatsministerium für Bildung und Kultus, Wissenschaft und Kunst (ab 10/2013)
Projektleitung:
Mittelgeber: Bayerisches Staatsministerium für Bildung und Kultus, Wissenschaft und Kunst (ab 10/2013)
Projektleitung:
In dem Internationalen Doktorandenkolleg wird vor dem Hintergrund konkreter Anwendungsprobleme der Bogen von der mathematischen Modellierung über die mathematische Analyse und die Entwicklung numerischer Methoden bis hin zum Wissenschaftlichen Rechnen und der Implementierung von Software auf Hoch- und Höchstleistungsrechnern gespannt. Dies geschieht auf den Gebieten der Identifikation, Optimierung und Steuerung komplexer technischer, medizinischer, naturwissenschaftlicher und wirtschaftswissensc…
Laufzeit: 01.04.2004 - 31.12.2008
Mittelgeber: BMFTR / Verbundprojekt
Projektleitung: ,
Mittelgeber: BMFTR / Verbundprojekt
Projektleitung: ,
The evaluation of the potential of contaminated sites concerning natural attenuation needs comprehensive process descriptions and accurate, reliable numerical algorithms. Numerical errors may lead to qualitatively completely wrong conclusions concerning the potential of the site for degradation. It has been developed a comprehensive and flexible simulation tool, that is outstanding concerning the variety of processes, the quality and efficiency of the calculations ensured by modern numerical met…
Laufzeit: 01.06.2001 - 31.05.2003
Mittelgeber: Bayerisches Staatsministerium für Umwelt und Gesundheit (StMUG) (bis 09/2013)
Projektleitung: ,
Mittelgeber: Bayerisches Staatsministerium für Umwelt und Gesundheit (StMUG) (bis 09/2013)
Projektleitung: ,
The project included the mathematical modelling of natural attenuation processes in the subsurface and the extension of a software tool for complex reactive multicomponent processes in the framework of mixed hybrid and conforming finite elements. New parameter identification methods allow the parametrization of unknown functions or a formfree optimization, and help to overcome the dilemma of missing data in complex models. Work included instationary 3D simulations and scenarios of contaminated…
Laufzeit: 01.01.2001 - 31.12.2004
Mittelgeber: Bundesministerium für Forschung, Technologie und Raumfahrt (BMFTR)
Projektleitung:
Mittelgeber: Bundesministerium für Forschung, Technologie und Raumfahrt (BMFTR)
Projektleitung:
Mathematical simulation tools allow the quantitative integration of competing transport and transformation processes which are relevant for a seepage water risk prognosis. Therefore model simulations have to contain a comprehensive process description, while they can serve for parameter identification by inverse modelling of suitable column or batch experiments, and allow to quantify the dependence of a key variable on parameters through a simultaneous sensitivity analysis. The software platform…