Edit Profile (opens in new tab) Nordbotten, Jan Martin Compute Distance To: Compute Author ID: nordbotten.jan-martin Published as: Nordbotten, Jan Martin; Nordbotten, Jan M.; Nordbotten, J. M.; Nordbotten, Jan more...less External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 75 Publications since 2005 2 Contributions as Editor Co-Authors: 81 Co-Authors with 71 Joint Publications 1,097 Co-Co-Authors all top 5 Co-Authors 6 single-authored 18 Radu, Florin Adrian 15 Keilegavlen, Eirik 12 Kumar, Kundan 9 Berre, Inga 8 Boon, Wietse M. 7 Both, Jakub Wiktor 6 Ahmed, Elyes 6 Pop, Iuliu Sorin 5 Celia, Michael A. 5 Kalisch, Henrik 4 Aavatsmark, Ivar 4 Brun, Mats Kirkesæther 3 Alyaev, Sergey 3 Eigestad, Geir Terje 3 Gjerde, Ingeborg G. 3 Mitrovic, Darko 3 Sargado, Juan Michael 3 Storvik, Erlend 2 Borregales, Manuel 2 Elenius, Maria T. 2 Fumagalli, Alessio 2 Gasda, Sarah E. 2 Hanson, Erik Andreas 2 Hodneland, Erlend 2 Repin, Sergeĭ Igorevich 2 Rodriguez-Iturbe, Ignacio 2 Sandve, Tor Harald 2 Sandvin, Andreas 2 Stenseth, Nils Chr. 2 Wohlmuth, Barbara I. 2 Yotov, Ivan 1 Ambartsumyan, Ilona 1 Audigane, Pascal 1 Balbarini, N. 1 Beni, Ali Naderi 1 Binning, P. J. 1 Bjørstad, Petter Erling 1 Borregales Reverón, Manuel Antonio 1 Bringedal, Carina 1 Budiša, Ana 1 Class, Holger 1 Dahle, Helge K. 1 Darcis, Melanie 1 Doster, Florian 1 Ebigbo, Anozie 1 Ennis-King, Jonathan 1 Fan, Yaqing 1 Flemisch, Bernd 1 Gerritsen, Margot G. 1 Helmig, Rainer 1 Hu, Xiaozhe 1 Jin, Min 1 Khattatov, Eldar 1 Krug, Stefanie 1 Kyas, Svetlana 1 Labregere, Diane 1 Levin, Simon Asher 1 Lie, Johan 1 Lorentzen, Rolf J. 1 Nævdal, Geir 1 Nilsen, Halvor Møll 1 Nissen, Anna 1 Pawar, Rajesh J. 1 Qohar, Ulin Nuha Abdul 1 Rahman, Talal 1 Raynaud, Xavier 1 Rees, D. Andrew S. 1 Sævareid, Ove 1 Sbai, Adil 1 Schaffer, Benjamin E. 1 Stephansen, Annette F. 1 Szathmáry, Eörs 1 Thomas, Sunil G. 1 Trenty, Laurent 1 Ucar, Eren 1 Valdman, Jan 1 Vatne, Jon Eivind 1 Wei, Lingli 1 Wick, Thomas 1 Zanna Munthe-Kaas, Antonella 1 Zanna, Antonella all top 5 Serials 16 Computational Geosciences 6 SIAM Journal on Numerical Analysis 4 Computer Methods in Applied Mechanics and Engineering 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Applied Mathematics Letters 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Multiscale Modeling & Simulation 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of the Mechanics and Physics of Solids 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 Computing and Visualization in Science 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computational Science and Engineering 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 49 Fluid mechanics (76-XX) 40 Numerical analysis (65-XX) 20 Mechanics of deformable solids (74-XX) 13 Partial differential equations (35-XX) 11 Geophysics (86-XX) 8 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 757 times in 491 Documents Cited by ▼ Year ▼ Monotonicity of control volume methods. Zbl 1215.76090Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T. 75 2007 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M. 62 2008 An efficient multi-point flux approximation method for discrete fracture-matrix simulations. Zbl 1402.76131Sandve, T. H.; Berre, I.; Nordbotten, J. M. 46 2012 Robust discretization of flow in fractured porous media. Zbl 1402.65149Boon, Wietse M.; Nordbotten, Jan M.; Yotov, Ivan 46 2018 Similarity solutions for fluid injection into confined aquifers. Zbl 1157.76317Nordbotten, Jan M.; Celia, Michael A. 46 2006 Robust fixed stress splitting for Biot’s equations in heterogeneous media. Zbl 1383.74025Both, Jakub Wiktor; Borregales, Manuel; Nordbotten, Jan Martin; Kumar, Kundan; Radu, Florin Adrian 42 2017 Stable cell-centered finite volume discretization for Biot equations. Zbl 1382.76187Nordbotten, Jan Martin 30 2016 A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011Class, 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 27 2009 A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Zbl 1320.76084Radu, Florin Adrian; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan 26 2015 Cell-centered finite volume discretizations for deformable porous media. Zbl 1352.76072Nordbotten, Jan Martin 25 2014 A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities. Zbl 1477.76055Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.; Pop, Iuliu S. 22 2018 Unified approach to discretization of flow in fractured porous media. Zbl 1414.76064Nordbotten, J. M.; Boon, W. M.; Fumagalli, A.; Keilegavlen, E. 20 2019 On the relationship between the multiscale finite volume method and domain decomposition preconditioners. Zbl 1155.76042Nordbotten, J. M.; Bjørstad, P. E. 20 2008 Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M. 20 2018 Vertical equilibrium with sub-scale analytical methods for geological CO\(_{2}\) sequestration. Zbl 1190.86013Gasda, S. E.; Nordbotten, J. M.; Celia, M. A. 18 2009 Discretization on quadrilateral grids with improved monotonicity properties. Zbl 1143.76540Nordbotten, Jan Martin; Eigestad, Geir Terje 15 2005 High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 15 2018 Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar 14 2009 An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Zbl 1442.74208Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian 13 2020 Splitting method for elliptic equations with line sources. Zbl 1433.35129Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara 13 2019 Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Zbl 1442.65251Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian 12 2019 Convergence of a cell-centered finite volume discretization for linear elasticity. Zbl 1330.74171Nordbotten, Jan Martin 11 2015 Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Zbl 07143623Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian 10 2020 Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. Zbl 1440.74117Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin 9 2019 A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M. 8 2020 A finite-volume discretization for deformation of fractured media. Zbl 1396.74099Ucar, Eren; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 8 2018 Adaptive variational multiscale methods for multiphase flow in porous media. Zbl 1172.76041Nordbotten, Jan M. 8 2009 Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Zbl 1426.76211Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin 7 2014 Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Zbl 1451.74204Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2020 Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Zbl 1457.74055Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2019 Functional analysis and exterior calculus on mixed-dimensional geometries. Zbl 1462.58001Boon, Wietse M.; Nordbotten, Jan M.; Vatne, Jon E. 6 2021 An accelerated staggered scheme for variational phase-field models of brittle fracture. Zbl 07414349Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2021 Non-standard shocks in the Buckley-Leverett equation. Zbl 1331.35231Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan M. 5 2015 A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan 5 2020 Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Zbl 1388.76358Doster, Florian; Nordbotten, Jan M.; Celia, Michael A. 4 2012 Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Zbl 1286.65179Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan M. 4 2013 Modeling, structure and discretization of hierarchical mixed-dimensional partial differential equations. Zbl 1442.65390Nordbotten, J. M.; Boon, W. M. 4 2018 Inexact linear solvers for control volume discretizations in porous media. Zbl 1327.76138Keilegavlen, Eirik; Nordbotten, Jan M. 4 2015 Effects of a capillary transition zone on the stability of a diffusive boundary layer. Zbl 1282.86020Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik 4 2012 Dynamics of the interface between immiscible liquids of different densities with low Froude number. Zbl 1302.76051Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik 3 2014 Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Zbl 1405.76056Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin 3 2018 Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar 3 2011 Inverse scale spaces for nonlinear regularization. Zbl 1478.94059Lie, Johan; Nordbotten, Jan M. 3 2007 A combined finite element-finite volume framework for phase-field fracture. Zbl 07337758Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 3 2021 Tensor relative permeabilities: origin, modeling and numerical discretization. Zbl 1277.76105Keilegavlen, Eirik; Nordbotten, Jan M.; Stephansen, Annette F. 2 2012 A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J. 2 2010 Convective mixing influenced by the capillary transition zone. Zbl 1378.86015Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik 2 2014 Iterative solvers for Biot model under small and large deformations. Zbl 1460.65117Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian 2 2021 Plant biomass and soil moisture dynamics: analytical results. Zbl 1371.92138Schaffer, Benjamin E.; Nordbotten, Jan M.; Rodriguez-Iturbe, Ignacio 1 2015 Linear and nonlinear convection in porous media between coaxial cylinders. Zbl 1308.76261Bringedal, Carina; Berre, Inga; Nordbotten, Jan M.; Rees, D. Andrew S. 1 2011 Variational and heterogeneous multiscale methods. Zbl 1216.65078Nordbotten, Jan Martin 1 2010 Rayleigh-Taylor instability of immiscible fluids in porous media. Zbl 1365.76307Kalisch, H.; Mitrovic, D.; Nordbotten, J. M. 1 2016 Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. Zbl 1454.65073Both, Jakub W.; Nordbotten, Jan M.; Radu, Florin A. 1 2020 Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Zbl 1411.65009 1 2018 Iterative linearisation schemes for doubly degenerate parabolic equations. Zbl 1427.65237Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian 1 2018 Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Zbl 1405.65144Nilsen, Halvor M.; Nordbotten, Jan; Raynaud, Xavier 1 2018 Multiscale methods for multiphase flow in porous media. Zbl 1284.76315Nordbotten, Jan M. 1 2009 The fixed-stress splitting scheme for Biot’s equations as a modified Richardson iteration: implications for optimal convergence. Zbl 07400958Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian 1 2021 An introduction to multi-point flux (MPFA) and stress (MPSA) finite volume methods for thermo-poroelasticity. Zbl 1470.74066Nordbotten, Jan Martin; Keilegavlen, Eirik 1 2021 A mixed approach to the Poisson problem with line sources. Zbl 1466.35093Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M. 1 2021 Functional analysis and exterior calculus on mixed-dimensional geometries. Zbl 1462.58001Boon, Wietse M.; Nordbotten, Jan M.; Vatne, Jon E. 6 2021 An accelerated staggered scheme for variational phase-field models of brittle fracture. Zbl 07414349Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2021 A combined finite element-finite volume framework for phase-field fracture. Zbl 07337758Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 3 2021 Iterative solvers for Biot model under small and large deformations. Zbl 1460.65117Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian 2 2021 The fixed-stress splitting scheme for Biot’s equations as a modified Richardson iteration: implications for optimal convergence. Zbl 07400958Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian 1 2021 An introduction to multi-point flux (MPFA) and stress (MPSA) finite volume methods for thermo-poroelasticity. Zbl 1470.74066Nordbotten, Jan Martin; Keilegavlen, Eirik 1 2021 A mixed approach to the Poisson problem with line sources. Zbl 1466.35093Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M. 1 2021 An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Zbl 1442.74208Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian 13 2020 Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Zbl 07143623Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian 10 2020 A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M. 8 2020 Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Zbl 1451.74204Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2020 A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan 5 2020 Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. Zbl 1454.65073Both, Jakub W.; Nordbotten, Jan M.; Radu, Florin A. 1 2020 Unified approach to discretization of flow in fractured porous media. Zbl 1414.76064Nordbotten, J. M.; Boon, W. M.; Fumagalli, A.; Keilegavlen, E. 20 2019 Splitting method for elliptic equations with line sources. Zbl 1433.35129Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara 13 2019 Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Zbl 1442.65251Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian 12 2019 Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. Zbl 1440.74117Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin 9 2019 Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Zbl 1457.74055Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian 6 2019 Robust discretization of flow in fractured porous media. Zbl 1402.65149Boon, Wietse M.; Nordbotten, Jan M.; Yotov, Ivan 46 2018 A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities. Zbl 1477.76055Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.; Pop, Iuliu S. 22 2018 Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M. 20 2018 High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 15 2018 A finite-volume discretization for deformation of fractured media. Zbl 1396.74099Ucar, Eren; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin 8 2018 Modeling, structure and discretization of hierarchical mixed-dimensional partial differential equations. Zbl 1442.65390Nordbotten, J. M.; Boon, W. M. 4 2018 Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Zbl 1405.76056Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin 3 2018 Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Zbl 1411.65009 1 2018 Iterative linearisation schemes for doubly degenerate parabolic equations. Zbl 1427.65237Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian 1 2018 Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Zbl 1405.65144Nilsen, Halvor M.; Nordbotten, Jan; Raynaud, Xavier 1 2018 Robust fixed stress splitting for Biot’s equations in heterogeneous media. Zbl 1383.74025Both, Jakub Wiktor; Borregales, Manuel; Nordbotten, Jan Martin; Kumar, Kundan; Radu, Florin Adrian 42 2017 Stable cell-centered finite volume discretization for Biot equations. Zbl 1382.76187Nordbotten, Jan Martin 30 2016 Rayleigh-Taylor instability of immiscible fluids in porous media. Zbl 1365.76307Kalisch, H.; Mitrovic, D.; Nordbotten, J. M. 1 2016 A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Zbl 1320.76084Radu, Florin Adrian; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan 26 2015 Convergence of a cell-centered finite volume discretization for linear elasticity. Zbl 1330.74171Nordbotten, Jan Martin 11 2015 Non-standard shocks in the Buckley-Leverett equation. Zbl 1331.35231Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan M. 5 2015 Inexact linear solvers for control volume discretizations in porous media. Zbl 1327.76138Keilegavlen, Eirik; Nordbotten, Jan M. 4 2015 Plant biomass and soil moisture dynamics: analytical results. Zbl 1371.92138Schaffer, Benjamin E.; Nordbotten, Jan M.; Rodriguez-Iturbe, Ignacio 1 2015 Cell-centered finite volume discretizations for deformable porous media. Zbl 1352.76072Nordbotten, Jan Martin 25 2014 Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Zbl 1426.76211Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin 7 2014 Dynamics of the interface between immiscible liquids of different densities with low Froude number. Zbl 1302.76051Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik 3 2014 Convective mixing influenced by the capillary transition zone. Zbl 1378.86015Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik 2 2014 Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Zbl 1286.65179Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan M. 4 2013 An efficient multi-point flux approximation method for discrete fracture-matrix simulations. Zbl 1402.76131Sandve, T. H.; Berre, I.; Nordbotten, J. M. 46 2012 Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Zbl 1388.76358Doster, Florian; Nordbotten, Jan M.; Celia, Michael A. 4 2012 Effects of a capillary transition zone on the stability of a diffusive boundary layer. Zbl 1282.86020Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik 4 2012 Tensor relative permeabilities: origin, modeling and numerical discretization. Zbl 1277.76105Keilegavlen, Eirik; Nordbotten, Jan M.; Stephansen, Annette F. 2 2012 Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar 3 2011 Linear and nonlinear convection in porous media between coaxial cylinders. Zbl 1308.76261Bringedal, Carina; Berre, Inga; Nordbotten, Jan M.; Rees, D. Andrew S. 1 2011 A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J. 2 2010 Variational and heterogeneous multiscale methods. Zbl 1216.65078Nordbotten, Jan Martin 1 2010 A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011Class, 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 27 2009 Vertical equilibrium with sub-scale analytical methods for geological CO\(_{2}\) sequestration. Zbl 1190.86013Gasda, S. E.; Nordbotten, J. M.; Celia, M. A. 18 2009 Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar 14 2009 Adaptive variational multiscale methods for multiphase flow in porous media. Zbl 1172.76041Nordbotten, Jan M. 8 2009 Multiscale methods for multiphase flow in porous media. Zbl 1284.76315Nordbotten, Jan M. 1 2009 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M. 62 2008 On the relationship between the multiscale finite volume method and domain decomposition preconditioners. Zbl 1155.76042Nordbotten, J. M.; Bjørstad, P. E. 20 2008 Monotonicity of control volume methods. Zbl 1215.76090Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T. 75 2007 Inverse scale spaces for nonlinear regularization. Zbl 1478.94059Lie, Johan; Nordbotten, Jan M. 3 2007 Similarity solutions for fluid injection into confined aquifers. Zbl 1157.76317Nordbotten, Jan M.; Celia, Michael A. 46 2006 Discretization on quadrilateral grids with improved monotonicity properties. Zbl 1143.76540Nordbotten, Jan Martin; Eigestad, Geir Terje 15 2005 all cited Publications top 5 cited Publications all top 5 Cited by 783 Authors 42 Nordbotten, Jan Martin 22 Radu, Florin Adrian 18 Yuan, Guangwei 15 Edwards, Michael G. 15 Keilegavlen, Eirik 15 Kumar, Kundan 15 Wheeler, Mary Fanett 13 Helmig, Rainer 13 Masson, Roland 13 Sheng, Zhiqiang 12 Pop, Iuliu Sorin 11 Boon, Wietse M. 11 Droniou, Jérôme 11 Wu, Jiming 11 Yotov, Ivan 10 Castelletto, Nicola 10 Fumagalli, Alessio 10 Neufeld, Jerome A. 10 Pal, Mayur 9 Brenner, Konstantin 9 Flemisch, Bernd 9 Scialò, Stefano 9 Tchelepi, Hamdi A. 8 Aavatsmark, Ivar 8 Berre, Inga 8 Di Pietro, Daniele Antonio 8 Huppert, Herbert E. 8 Nilsen, Halvor Møll 8 Schneider, Martin 8 Terekhov, Kirill M. 7 Ahmed, Elyes 7 Both, Jakub Wiktor 7 Gao, Zhiming 7 Hajibeygi, Hadi 7 Lie, Knut-Andreas 7 Wick, Thomas 7 Woods, Andrew W. 6 Berrone, Stefano 6 Celia, Michael A. 6 Gaspar, Francisco José 6 Hu, Xiaozhe 6 Rodrigo, Carmen 6 Scotti, Anna 5 Borio, Andrea 5 Ferronato, Massimiliano 5 Gläser, Dennis 5 Khattatov, Eldar 5 Lamine, Sadok 5 Lee, Sanghyun 5 Vassilevski, Yuri V. 4 Abdulle, Assyr 4 Almani, Tameem 4 Ambartsumyan, Ilona 4 Andersen, Odd A. 4 Budáč, Ondrej 4 Class, Holger 4 Gerritsen, Margot G. 4 Hennicker, Julian 4 Jenny, Patrick 4 Juanes, Ruben 4 Kalisch, Henrik 4 Koch, Timo 4 Kraus, Johannes K. 4 Li, Yonghai 4 Lipnikov, Konstantin N. 4 Macminn, Christopher W. 4 Mardal, Kent-Andre 4 Mitrovic, Darko 4 Møyner, Olav 4 Nikitin, Kirill D. 4 Pegler, Samuel S. 4 Ruiz-Baier, Ricardo 4 Su, Shuai 4 Svyatskiy, Daniil 4 Trenty, Laurent 4 White, Joshua A. 4 Wohlmuth, Barbara I. 4 Xie, Hui 4 Xu, Xuejun 4 Zheng, Hongwen 4 Zunino, Paolo 3 Adler, James H. 3 Ahmed, Raheel 3 Bonaldi, Francesco 3 Brun, Mats Kirkesæther 3 Budiša, Ana 3 Cancès, Clément 3 Chung, Tsz Shun Eric 3 Contreras, Fernando R. L. 3 Dong, Qiannan 3 Durlofsky, Louis J. 3 Eigestad, Geir Terje 3 Farcas, Adrian 3 Formaggia, Luca 3 Frigo, Matteo 3 Gasda, Sarah E. 3 Gjerde, Ingeborg G. 3 Hong, Qingguo 3 Huisman, Bastiaan A. H. 3 Knabner, Peter ...and 683 more Authors all top 5 Cited in 72 Serials 85 Computational Geosciences 77 Journal of Computational Physics 48 Computer Methods in Applied Mechanics and Engineering 36 Journal of Fluid Mechanics 22 Computers & Mathematics with Applications 15 Journal of Computational and Applied Mathematics 13 SIAM Journal on Scientific Computing 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 SIAM Journal on Numerical Analysis 10 GEM - International Journal on Geomathematics 9 International Journal for Numerical Methods in Fluids 9 Journal of Scientific Computing 8 Numerische Mathematik 6 Computers and Fluids 6 Communications in Computational Physics 5 Applied Mathematical Modelling 5 Multiscale Modeling & Simulation 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 Advances in Applied Mathematics and Mechanics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Physica D 2 Applied Mathematics Letters 2 SIAM Journal on Applied Mathematics 2 Computational and Applied Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Advances in Computational Mathematics 2 Computing and Visualization in Science 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Fluid Dynamics 1 Journal of Engineering Mathematics 1 Moscow University Mathematics Bulletin 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Computing 1 European Journal of Applied Mathematics 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Mathematical Geosciences 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Mathematics in Industry 1 International Journal of Applied and Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics 1 International Journal on Finite Volumes 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Cited in 28 Fields 341 Fluid mechanics (76-XX) 278 Numerical analysis (65-XX) 108 Mechanics of deformable solids (74-XX) 104 Partial differential equations (35-XX) 85 Geophysics (86-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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