Edit Profile (opens in new tab) Helmig, Rainer Co-Author Distance Author ID: helmig.rainer Published as: Helmig, Rainer; Helmig, R. External Links: MGP Documents Indexed: 66 Publications since 1997, including 1 Book and 6 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 111 Co-Authors with 69 Joint Publications 2,036 Co-Co-Authors all top 5 Co-Authors 0 single-authored 16 Wohlmuth, Barbara I. 15 Flemisch, Bernd 12 Class, Holger 11 Schneider, Martin 8 Gläser, Dennis 5 Köppl, Tobias 5 Niessner, Jennifer 4 Boon, Wietse M. 4 Cao, Yufei 4 Weishaupt, Kilian 3 Coltman, Edward 3 Gupta, Shubhangi 3 Jakobs, Hartmut 3 Koch, Timo 3 Wolff, Markus 3 Yotov, Ivan 2 Aavatsmark, Ivar 2 Chu, Xu 2 Ebigbo, Anozie 2 Ehlers, Wolfgang 2 Faigle, Benjamin 2 Fritz, Jochen 2 Huber, Ralf 2 Lozano-Durán, Adrián 2 Mosthaf, Klaus 2 Ölmann, Ulrich 2 Pop, Iuliu Sorin 2 Rohde, Christian 2 Schulz, Volker H. 2 Sheta, Hussam 2 van Duijn, Cornelis Johannes 2 Vidotto, Ettore 2 Wang, Wenkang 1 Ackermann, Sina 1 Ahmadi, Navid 1 Aricò, Costanza 1 Audigane, Pascal 1 Baber, Katherina 1 Bárdossy, András 1 Bastian, Peter 1 Becker, Beatrix 1 Beni, Ali Naderi 1 Bielinski, Andreas 1 Bringedal, Carina 1 Celia, Michael A. 1 Chen, Zhangxin 1 Cirpka, Olaf A. 1 Dahle, Helge K. 1 Darcis, Melanie 1 Deusner, Christian 1 Dogan, M. O. 1 Eichel, Hartmut 1 Elemisch, Bernd 1 Elfeel, Mohamed Ahmed 1 Ennis-King, Jonathan 1 Ewing, Richard Edward 1 Fan, Yaqing 1 Fattahi, Ehsan 1 Fetzer, Thomas 1 Freiboth, Sandra 1 Gasda, Sarah E. 1 Geiger, Sebastian 1 Graf, Tobias 1 Grüninger, Christoph 1 Haasdonk, Bernard 1 Haeckel, Matthias 1 Hajibeygi, Hadi 1 Hazra, Subhendu Bikash 1 Heck, Katharina 1 Hilpert, Marcus 1 Jäger, Willi 1 Jenny, Patrick 1 Jin, Min 1 Joekar-Niasar, Vahid 1 Kees, Christopher E. 1 Kinzelbach, Wolfgang 1 Knabner, Peter 1 Krug, Stefanie 1 Labregere, Diane 1 Magiera, Jim 1 Manhart, Michael 1 Mielke, Alexander 1 Miller, Cass T. 1 Mitra, Koondanibha 1 Müthing, Steffen 1 Nordbotten, Jan Martin 1 Papafotiou, Alexandros 1 Pawar, Rajesh J. 1 Praditia, Timothy 1 Puleo, Daniele 1 Reichenberger, Volker 1 Rolle, Massimo 1 Rüde, Ulrich 1 Rybak, Iryna V. 1 Santin, Gabriele 1 Sauter, E. J. 1 Sbai, Adil 1 Schwarz, Viktoria 1 Schwenck, Nicolas 1 Szymkiewicz, Adam ...and 11 more Co-Authors all top 5 Serials 17 Computational Geosciences 6 Journal of Computational Physics 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Fluids 2 Journal of Fluid Mechanics 2 CMES. Computer Modeling in Engineering & Sciences 2 International Journal of Numerical Analysis and Modeling 1 Computers and Fluids 1 IMA Journal of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Numerical Linear Algebra with Applications 1 International Journal of Computational Fluid Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Multiscale Modeling & Simulation 1 Notes on Numerical Fluid Mechanics 1 Lecture Notes in Applied and Computational Mechanics 1 GEM - International Journal on Geomathematics 1 Mathematical Engineering 1 Journal of Computational Physics: X all top 5 Fields 57 Fluid mechanics (76-XX) 18 Numerical analysis (65-XX) 13 Geophysics (86-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 408 times in 324 Documents Cited by ▼ Year ▼ Dimensionally reduced flow models in fractured porous media: crossings and boundaries. Zbl 1391.76747 Schwenck, Nicolas; Flemisch, Bernd; Helmig, Rainer; Wohlmuth, Barbara I. 45 2015 A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011 Class, Holger; Ebigbo, Anozie; Helmig, Rainer; Dahle, Helge K.; Nordbotten, Jan M.; Celia, Michael A.; Audigane, Pascal; Darcis, Melanie; Ennis-King, Jonathan; Fan, Yaqing; Flemisch, Bernd; Gasda, Sarah E.; Jin, Min; Krug, Stefanie; Labregere, Diane; Beni, Ali Naderi; Pawar, Rajesh J.; Sbai, Adil; Thomas, Sunil G.; Trenty, Laurent; Wei, Lingli 33 2009 Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media. Zbl 0973.76059 Huber, Ralf; Helmig, Rainer 29 2000 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090 Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 26 2015 Dynamic capillary effects in heterogeneous porous media. Zbl 1123.76065 Helmig, Rainer; Weiss, Alexander; Wohlmuth, Barbara I. 23 2007 Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach. Zbl 0938.76053 Huber, R.; Helmig, R. 23 1999 Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow. Zbl 1343.76024 Baber, Katherina; Mosthaf, Klaus; Flemisch, Bernd; Helmig, Rainer; Müthing, Steffen; Wohlmuth, Barbara 16 2012 Monotone nonlinear finite-volume method for challenging grids. Zbl 1405.65145 Schneider, Martin; Flemisch, B.; Helmig, R.; Terekhov, K.; Tchelepi, H. 15 2018 Lattice Boltzmann methods in porous media simulations: from laminar to turbulent flow. Zbl 1390.76847 Fattahi, Ehsan; Waluga, Christian; Wohlmuth, Barbara; Rüde, Ulrich; Manhart, Michael; Helmig, Rainer 13 2016 Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575 Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker 12 2000 Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Zbl 1436.76064 Koch, Timo; Schneider, Martin; Helmig, Rainer; Jenny, Patrick 11 2020 Efficient modeling of flow and transport in porous media using multiphysics and multiscale approaches. Zbl 1197.86017 Helmig, Rainer; Niessner, Jennifer; Flemisch, Bernd; Wolff, Markus; Fritz, Jochen 10 2010 Hybrid models for simulating blood flow in microvascular networks. Zbl 1433.76200 Vidotto, Ettore; Koch, Timo; Köppl, Tobias; Helmig, Rainer; Wohlmuth, Barbara 10 2019 Variational inequalities for modeling flow in heterogeneous porous media with entry pressure. Zbl 1338.76118 Helmig, R.; Weiss, A.; Wohlmuth, B. I. 9 2009 Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076 Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd 9 2014 \(\text{CO}_{2}\) leakage through an abandoned well: problem-oriented benchmarks. Zbl 1147.86316 Ebigbo, Anozie; Class, Holger; Helmig, Rainer 8 2007 Geometrical interpretation of the multi-point flux approximation L-method. Zbl 1166.76042 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara I. 8 2009 Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media. Zbl 1302.76117 Wolff, Markus; Cao, Yufei; Flemisch, Bernd; Helmig, Rainer; Wohlmuth, Barbara 8 2013 A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media. Zbl 1419.76608 Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer; Class, Holger 8 2019 Numerical modeling of two-phase hysteresis combined with an interface condition for heterogeneous porous media. Zbl 1423.76436 Papafotiou, Alexandros; Sheta, Hussam; Helmig, Rainer 7 2010 Multiscale formulation for coupled flow-heat equations arising from single-phase flow in fractured geothermal reservoirs. Zbl 1406.86020 Praditia, Timothy; Helmig, Rainer; Hajibeygi, Hadi 7 2018 Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems. Zbl 1453.76109 Schneider, Martin; Weishaupt, Kilian; Gläser, Dennis; Boon, Wietse M.; Helmig, Rainer 6 2020 Decoupled and multiphysics models for non-isothermal compositional two-phase flow in porous media. Zbl 1417.76043 Fritz, Jochen; Elemisch, Bernd; Helmig, Rainer 6 2012 Fronts in two-phase porous media flow problems: the effects of hysteresis and dynamic capillarity. Zbl 1454.76094 Mitra, K.; Köppl, T.; Pop, I. S.; van Duijn, C. J.; Helmig, R. 5 2020 Recent advances in finite element methods for multi-phase flow processes in porous media. Zbl 1187.76684 Helmig, Rainer; Niessner, Jennifer; Class, Holger 4 2006 Comparison of approaches for the coupling of chemistry to transport in groundwater systems. Zbl 0884.76074 Cirpka, Olaf; Helmig, Rainer 4 1997 Multiphase processes in porous media. Zbl 1298.76174 Class, Holger; Helmig, Rainer; Niessner, Jennifer; Ölmann, Ulrich 4 2006 On the conditions for coupling free flow and porous-medium flow in a finite volume framework. Zbl 1365.76306 Fetzer, Thomas; Grüninger, Christoph; Flemisch, Bernd; Helmig, Rainer 4 2017 Flux-mortar mixed finite element methods on nonmatching grids. Zbl 1493.65192 Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan 4 2022 Reduced one-dimensional modelling and numerical simulation for mass transport in fluids. Zbl 1455.76216 Köppl, T.; Wohlmuth, B.; Helmig, R. 4 2013 Conditional statistical inverse modeling in groundwater flow by multigrid methods. Zbl 0943.76065 Schulz, Volker; Bardossy, Andras; Helmig, Rainer 3 1999 Multifield problems in solid and fluid mechanics. Zbl 1103.74004 3 2006 Nonlinear finite-volume scheme for complex flow processes on corner-point grids. Zbl 1365.76170 Schneider, Martin; Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer 3 2017 Multi-physics modeling of non-isothermal compositional flow on adaptive grids. Zbl 1423.76421 Faigle, Benjamin; Elfeel, Mohamed Ahmed; Helmig, Rainer; Becker, Beatrix; Flemisch, Bernd; Geiger, Sebastian 3 2015 A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model. Zbl 1436.76039 Koch, Timo; Helmig, Rainer; Schneider, Martin 3 2020 Forward and inverse problems in modeling of multiphase flow and transport through porous media. Zbl 1059.76066 Hazra, S. B.; Class, H.; Helmig, R.; Schulz, V. 2 2004 Multi-scale modelling of two-phase-two-component processes in heterogeneous porous media. Zbl 1174.76366 Niessner, J.; Helmig, R. 2 2006 Numerical investigation of a mimetic finite difference method. Zbl 1422.65312 Flemisch, Bernd; Helmig, Rainer 2 2008 Multi-scale three-domain approach for coupling free flow and flow in porous media including droplet-related interface processes. Zbl 07500729 Ackermann, Sina; Bringedal, Carina; Helmig, Rainer 2 2021 Information transfer between turbulent boundary layers and porous media. Zbl 1495.76057 Wang, Wenkang; Chu, Xu; Lozano-Durán, Adrián; Helmig, Rainer; Weigand, Bernhard 2 2021 Non-isothermal, multi-phase, multi-component flows through deformable methane hydrate reservoirs. Zbl 1390.74048 Gupta, Shubhangi; Helmig, Rainer; Wohlmuth, Barbara 2 2015 Streamline method for resolving sharp fronts for complex two-phase flow in porous media. Zbl 1404.86010 Vidotto, Ettore; Helmig, Rainer; Schneider, Martin; Wohlmuth, Barbara 2 2018 Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids. Zbl 1428.76112 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara I. 1 2011 Different concepts for the coupling of porous-media flow with lower-dimensional pipe flow. Zbl 1231.76308 Dogan, M. O.; Class, H.; Helmig, R. 1 2009 The influence of the boundary discretization on the multipoint flux approximation \(L\)-method. Zbl 1422.65305 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara 1 2008 Modeling two phase flow in large scale fractured porous media with an extended multiple interacting continua method. Zbl 1356.76364 Tatomir, A. B.; Szymkiewicz, A.; Class, H.; Helmig, R. 1 2011 Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Zbl 07679169 Schneider, Martin; Gläser, Dennis; Weishaupt, Kilian; Coltman, Edward; Flemisch, Bernd; Helmig, Rainer 1 2023 An efficient coupling of free flow and porous media flow using the pore-network modeling approach. Zbl 07783821 Weishaupt, Kilian; Joekar-Niasar, Vahid; Helmig, Rainer 1 2019 Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media. Zbl 07516799 Gläser, Dennis; Schneider, Martin; Flemisch, Bernd; Helmig, Rainer 1 2022 Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109 Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar 1 2012 Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Zbl 07679169 Schneider, Martin; Gläser, Dennis; Weishaupt, Kilian; Coltman, Edward; Flemisch, Bernd; Helmig, Rainer 1 2023 Flux-mortar mixed finite element methods on nonmatching grids. Zbl 1493.65192 Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan 4 2022 Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media. Zbl 07516799 Gläser, Dennis; Schneider, Martin; Flemisch, Bernd; Helmig, Rainer 1 2022 Multi-scale three-domain approach for coupling free flow and flow in porous media including droplet-related interface processes. Zbl 07500729 Ackermann, Sina; Bringedal, Carina; Helmig, Rainer 2 2021 Information transfer between turbulent boundary layers and porous media. Zbl 1495.76057 Wang, Wenkang; Chu, Xu; Lozano-Durán, Adrián; Helmig, Rainer; Weigand, Bernhard 2 2021 Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Zbl 1436.76064 Koch, Timo; Schneider, Martin; Helmig, Rainer; Jenny, Patrick 11 2020 Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems. Zbl 1453.76109 Schneider, Martin; Weishaupt, Kilian; Gläser, Dennis; Boon, Wietse M.; Helmig, Rainer 6 2020 Fronts in two-phase porous media flow problems: the effects of hysteresis and dynamic capillarity. Zbl 1454.76094 Mitra, K.; Köppl, T.; Pop, I. S.; van Duijn, C. J.; Helmig, R. 5 2020 A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model. Zbl 1436.76039 Koch, Timo; Helmig, Rainer; Schneider, Martin 3 2020 Hybrid models for simulating blood flow in microvascular networks. Zbl 1433.76200 Vidotto, Ettore; Koch, Timo; Köppl, Tobias; Helmig, Rainer; Wohlmuth, Barbara 10 2019 A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media. Zbl 1419.76608 Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer; Class, Holger 8 2019 An efficient coupling of free flow and porous media flow using the pore-network modeling approach. Zbl 07783821 Weishaupt, Kilian; Joekar-Niasar, Vahid; Helmig, Rainer 1 2019 Monotone nonlinear finite-volume method for challenging grids. Zbl 1405.65145 Schneider, Martin; Flemisch, B.; Helmig, R.; Terekhov, K.; Tchelepi, H. 15 2018 Multiscale formulation for coupled flow-heat equations arising from single-phase flow in fractured geothermal reservoirs. Zbl 1406.86020 Praditia, Timothy; Helmig, Rainer; Hajibeygi, Hadi 7 2018 Streamline method for resolving sharp fronts for complex two-phase flow in porous media. Zbl 1404.86010 Vidotto, Ettore; Helmig, Rainer; Schneider, Martin; Wohlmuth, Barbara 2 2018 On the conditions for coupling free flow and porous-medium flow in a finite volume framework. Zbl 1365.76306 Fetzer, Thomas; Grüninger, Christoph; Flemisch, Bernd; Helmig, Rainer 4 2017 Nonlinear finite-volume scheme for complex flow processes on corner-point grids. Zbl 1365.76170 Schneider, Martin; Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer 3 2017 Lattice Boltzmann methods in porous media simulations: from laminar to turbulent flow. Zbl 1390.76847 Fattahi, Ehsan; Waluga, Christian; Wohlmuth, Barbara; Rüde, Ulrich; Manhart, Michael; Helmig, Rainer 13 2016 Dimensionally reduced flow models in fractured porous media: crossings and boundaries. Zbl 1391.76747 Schwenck, Nicolas; Flemisch, Bernd; Helmig, Rainer; Wohlmuth, Barbara I. 45 2015 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090 Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 26 2015 Multi-physics modeling of non-isothermal compositional flow on adaptive grids. Zbl 1423.76421 Faigle, Benjamin; Elfeel, Mohamed Ahmed; Helmig, Rainer; Becker, Beatrix; Flemisch, Bernd; Geiger, Sebastian 3 2015 Non-isothermal, multi-phase, multi-component flows through deformable methane hydrate reservoirs. Zbl 1390.74048 Gupta, Shubhangi; Helmig, Rainer; Wohlmuth, Barbara 2 2015 Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076 Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd 9 2014 Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media. Zbl 1302.76117 Wolff, Markus; Cao, Yufei; Flemisch, Bernd; Helmig, Rainer; Wohlmuth, Barbara 8 2013 Reduced one-dimensional modelling and numerical simulation for mass transport in fluids. Zbl 1455.76216 Köppl, T.; Wohlmuth, B.; Helmig, R. 4 2013 Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow. Zbl 1343.76024 Baber, Katherina; Mosthaf, Klaus; Flemisch, Bernd; Helmig, Rainer; Müthing, Steffen; Wohlmuth, Barbara 16 2012 Decoupled and multiphysics models for non-isothermal compositional two-phase flow in porous media. Zbl 1417.76043 Fritz, Jochen; Elemisch, Bernd; Helmig, Rainer 6 2012 Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109 Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar 1 2012 Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids. Zbl 1428.76112 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara I. 1 2011 Modeling two phase flow in large scale fractured porous media with an extended multiple interacting continua method. Zbl 1356.76364 Tatomir, A. B.; Szymkiewicz, A.; Class, H.; Helmig, R. 1 2011 Efficient modeling of flow and transport in porous media using multiphysics and multiscale approaches. Zbl 1197.86017 Helmig, Rainer; Niessner, Jennifer; Flemisch, Bernd; Wolff, Markus; Fritz, Jochen 10 2010 Numerical modeling of two-phase hysteresis combined with an interface condition for heterogeneous porous media. Zbl 1423.76436 Papafotiou, Alexandros; Sheta, Hussam; Helmig, Rainer 7 2010 A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011 Class, Holger; Ebigbo, Anozie; Helmig, Rainer; Dahle, Helge K.; Nordbotten, Jan M.; Celia, Michael A.; Audigane, Pascal; Darcis, Melanie; Ennis-King, Jonathan; Fan, Yaqing; Flemisch, Bernd; Gasda, Sarah E.; Jin, Min; Krug, Stefanie; Labregere, Diane; Beni, Ali Naderi; Pawar, Rajesh J.; Sbai, Adil; Thomas, Sunil G.; Trenty, Laurent; Wei, Lingli 33 2009 Variational inequalities for modeling flow in heterogeneous porous media with entry pressure. Zbl 1338.76118 Helmig, R.; Weiss, A.; Wohlmuth, B. I. 9 2009 Geometrical interpretation of the multi-point flux approximation L-method. Zbl 1166.76042 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara I. 8 2009 Different concepts for the coupling of porous-media flow with lower-dimensional pipe flow. Zbl 1231.76308 Dogan, M. O.; Class, H.; Helmig, R. 1 2009 Numerical investigation of a mimetic finite difference method. Zbl 1422.65312 Flemisch, Bernd; Helmig, Rainer 2 2008 The influence of the boundary discretization on the multipoint flux approximation \(L\)-method. Zbl 1422.65305 Cao, Yufei; Helmig, Rainer; Wohlmuth, Barbara 1 2008 Dynamic capillary effects in heterogeneous porous media. Zbl 1123.76065 Helmig, Rainer; Weiss, Alexander; Wohlmuth, Barbara I. 23 2007 \(\text{CO}_{2}\) leakage through an abandoned well: problem-oriented benchmarks. Zbl 1147.86316 Ebigbo, Anozie; Class, Holger; Helmig, Rainer 8 2007 Recent advances in finite element methods for multi-phase flow processes in porous media. Zbl 1187.76684 Helmig, Rainer; Niessner, Jennifer; Class, Holger 4 2006 Multiphase processes in porous media. Zbl 1298.76174 Class, Holger; Helmig, Rainer; Niessner, Jennifer; Ölmann, Ulrich 4 2006 Multifield problems in solid and fluid mechanics. Zbl 1103.74004 3 2006 Multi-scale modelling of two-phase-two-component processes in heterogeneous porous media. Zbl 1174.76366 Niessner, J.; Helmig, R. 2 2006 Forward and inverse problems in modeling of multiphase flow and transport through porous media. Zbl 1059.76066 Hazra, S. B.; Class, H.; Helmig, R.; Schulz, V. 2 2004 Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media. Zbl 0973.76059 Huber, Ralf; Helmig, Rainer 29 2000 Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575 Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker 12 2000 Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach. Zbl 0938.76053 Huber, R.; Helmig, R. 23 1999 Conditional statistical inverse modeling in groundwater flow by multigrid methods. Zbl 0943.76065 Schulz, Volker; Bardossy, Andras; Helmig, Rainer 3 1999 Comparison of approaches for the coupling of chemistry to transport in groundwater systems. Zbl 0884.76074 Cirpka, Olaf; Helmig, Rainer 4 1997 all cited Publications top 5 cited Publications all top 5 Cited by 657 Authors 22 Helmig, Rainer 12 Flemisch, Bernd 11 Pop, Iuliu Sorin 11 Wohlmuth, Barbara I. 10 Masson, Roland 10 Nordbotten, Jan Martin 10 Schneider, Martin 10 Tchelepi, Hamdi A. 10 Vohralík, Martin 8 Hajibeygi, Hadi 7 Class, Holger 7 Fumagalli, Alessio 7 Kumar, Kundan 7 Rohde, Christian 7 Rybak, Iryna V. 7 Wheeler, Mary Fanett 6 Amaziane, Brahim 6 Chung, Tsz Shun Eric 6 Gläser, Dennis 6 Jurak, Mladen 6 Keilegavlen, Eirik 6 Radu, Florin Adrian 6 Scotti, Anna 6 Sun, Shuyu 6 Trenty, Laurent 5 Brenner, Konstantin 5 Castelletto, Nicola 5 Cusini, Matteo 5 Eggenweiler, Elissa 5 Formaggia, Luca 5 Oladyshkin, Sergey 5 Roberts, Jean Elizabeth 5 Rüde, Ulrich 5 Vasilyeva, Maria V. 5 Weishaupt, Kilian 4 Cancès, Clément 4 Di Pietro, Daniele Antonio 4 Hoang, Thi-Thao-Phuong 4 Knabner, Peter 4 Koch, Timo 4 Köppel, Markus 4 Lie, Knut-Andreas 4 Lyubanova, Anna Sh. 4 Nilsen, Halvor Møll 4 Nowak, Wolfgang 4 Rivière, Beatrice M. 3 Aavatsmark, Ivar 3 Abreu, Eduardo 3 Abushaikha, Ahmad S. 3 Andersen, Odd A. 3 Antonietti, Paola Francesca 3 Berninger, Heiko 3 Berrone, Stefano 3 Boon, Wietse M. 3 Burbulla, Samuel 3 Fritz, Marvin 3 Gasda, Sarah E. 3 Geiger, Sebastian 3 Grappein, Denise 3 Henning, Patrick 3 Hyman, Jeffrey D. 3 Jackson, Matthew D. 3 Kern, Michel 3 Klevtsov, Sergey 3 Köppl, Tobias 3 Kornhuber, Ralf 3 Kröker, Ilja 3 Martin, Vincent 3 Mitra, Koondanibha 3 Pain, Christopher C. 3 Rettinger, Christoph 3 Sander, Oliver 3 Schulz, Volker H. 3 Scialò, Stefano 3 Sweeney, Matthew R. 3 Terekhov, Kirill M. 3 van Kruijsdijk, Cor 3 Yousef, Soleiman 3 Zhang, Yumeng 3 Zunino, Paolo 2 Ackermann, Sina 2 Ahmed, Elyes 2 Alekseev, Valentin 2 Almani, Tameem 2 Babaei, Masoud 2 Bastian, Peter 2 Becker, Beatrix 2 Bui, Quan M. 2 Celia, Michael A. 2 Chave, Florent 2 Chen, Shuangshuang 2 Chen, Zhangxin 2 Coclite, Giuseppe Maria 2 Coltman, Edward 2 De Dieuleveult, Caroline 2 Dong, Qiannan 2 Dzanic, V. 2 Ebigbo, Anozie 2 Efendiev, Yalchin R. 2 Eibl, Sebastian ...and 557 more Authors all top 5 Cited in 64 Serials 74 Computational Geosciences 45 Journal of Computational Physics 22 Computer Methods in Applied Mechanics and Engineering 12 Computers and Fluids 12 Computers & Mathematics with Applications 12 Journal of Fluid Mechanics 12 Journal of Computational and Applied Mathematics 6 SIAM Journal on Scientific Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 SIAM Journal on Numerical Analysis 5 Applied Mathematical Modelling 5 Nonlinear Analysis. Real World Applications 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 GEM - International Journal on Geomathematics 3 Applicable Analysis 3 International Journal for Numerical Methods in Engineering 3 Numerical Methods for Partial Differential Equations 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Computing and Visualization in Science 3 Multiscale Modeling & Simulation 3 Communications in Computational Physics 3 Journal of Computational Physics: X 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Lobachevskii Journal of Mathematics 2 Acta Numerica 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal on Finite Volumes 1 Mathematische Semesterberichte 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Acta Applicandae Mathematicae 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Russian Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Journal of Numerical Mathematics 1 Journal of Hyperbolic Differential Equations 1 Inverse Problems in Science and Engineering 1 Progress in Computational Fluid Dynamics 1 Mathematical Geosciences 1 Advances in Applied Mathematics and Mechanics 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Mathematics in Engineering 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 27 Fields 258 Fluid mechanics (76-XX) 184 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 60 Geophysics (86-XX) 39 Mechanics of deformable solids (74-XX) 13 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Operations research, mathematical programming (90-XX) 5 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year