Hjem
Jan Martin  Nordbottens bilde

Jan Martin Nordbotten

Professor
  • E-postJan.Nordbotten@uib.no
  • Telefon+47 909 65 990
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postadresse
    Postboks 7803
    5020 Bergen

Jan Martin Nordbotten was the youngest ever to complete a PhD in Norway, and the third-youngest professor. He currently leads the porous media research group in the Department of Mathematics at the University of Bergen, and holds a visiting appointment at the Department of Civil and Environmental Engineering at Princeton University. Nordbotten is a recipient of both national and international awards for his research, and is a former VISTA professor of the Norwegian Academy of Sciences and Letters. Nordbotten’s publications span the whole spectrum of applied mathematics, including both theoretical and numerical methods. His research is applied to topics as diverse as ecohydrology, evolution, medical imaging, porous media and renewable energy.

Please feel free to check out my popular science contributions:

Feel free to explore recent completed PhD and MSc projects in our group.

The following list of publications is autmatically generated based on that national research database CRIStin. 

Vitenskapelig artikkel
  • Brun, Mats Kirkesæther; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian. 2020. An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Computer Methods in Applied Mechanics and Engineering. 22 sider.
  • Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian. 2019. Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Journal of Mathematical Analysis and Applications. 239-266.
  • Storvik, Erlend; Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian. 2019. On the optimization of the fixed‐stress splitting for Biot's equations. International Journal for Numerical Methods in Engineering. 179-194.
  • Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella. 2019. Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments . Lecture Notes in Computational Science and Engineering. 66-82.
  • Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian. 2019. Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. Lecture Notes in Computational Science and Engineering. 49-63.
  • Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin; Wohlmuth, Barbara. 2019. Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering. 644-663.
  • Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2019. Consistent MPFA Discretization for Flow in the Presence of Gravity. Water Resources Research. 1-14.
  • Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian. 2019. Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Journal of Computational and Applied Mathematics.
  • Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin. 2019. A singularity removal method for coupled 1D–3D flow models. Computational Geosciences.
  • Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove; Nævdal, Geir; Lundervold, Arvid; Solteszova, Veronika; Zanna, Antonella; Deistung, Andreas; Reichenbach, Jürgen; Nordbotten, Jan Martin. 2019. A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. PLoS Computational Biology. 1-31.
  • Brun, Mats Kirkesæther; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian. 2018. Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium. Transport in Porous Media. 137-158.
  • Nordbotten, Jan Martin; Boon, Wietse; Fumagalli, Alessio; Keilegavlen, Eirik. 2018. Unified approach to discretization of flow in fractured porous media. Computational Geosciences. 1-13.
  • Borregales Reveron, Manuel Antonio; Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin. 2018. Robust iterative schemes for non-linear poromechanics. Computational Geosciences. 1021-1038.
  • Boon, Wietse; Nordbotten, Jan Martin; Yotov, Ivan. 2018. Robust discretization of flow in fractured porous media. SIAM Journal on Numerical Analysis. 2203-2233.
  • Hodneland, Erlend; Keilegavlen, Eirik; Hanson, Erik Andreas; Andersen, Erling; Monssen, Jan Anker; Rørvik v/dødsbo, Jarle; Leh, Sabine Maria; Marti, Hans-Peter; Lundervold, Arvid; Svarstad, Einar; Nordbotten, Jan Martin. 2018. In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging. IEEE Transactions on Biomedical Engineering. 1779-1790.
  • Nordbotten, Jan Martin; Levin, Simon A.; Szathmáry, Eörs; Stenseth, Nils Christian. 2018. Ecological and evolutionary dynamics of interconnectedness and modularity. Proceedings of the National Academy of Sciences of the United States of America. 750-755.
  • Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian. 2018. Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Computers and Mathematics with Applications. 1479-1502.
  • Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin. 2018. Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model. Computer Methods in Applied Mechanics and Engineering. 264-294.
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2018. A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. Computational Geosciences. 107-126.
  • Ucar, Eren; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2018. A finite-volume discretization for deformation of fractured media. Computational Geosciences. 993-1007.
  • Both, Jakub; Borregales Reveron, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian. 2017. Robust fixed stress splitting for Biot's equations in heterogeneous media. Applied Mathematics Letters. 101-108.
  • Vasilyev, Leonid; Nordbotten, Jan Martin; Radu, Florin Adrian; Kumar, Kundan. 2017. On the Properties of the Parameter Space of the Generalized Continuum Transport Model for Description of Fluid Flow in Porous Networks. Transport in Porous Media. 673-688.
  • Marban, David Landa; Radu, Florin Adrian; Nordbotten, Jan Martin. 2017. Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. Transport in Porous Media. 395-413.
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2017. High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Journal of the mechanics and physics of solids. 458-489.
  • Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2017. Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Computational Geosciences. 451-467.
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin; Pop, Iuliu Sorin. 2017. Fractal structures in freezing brine. Journal of Fluid Mechanics. 975-995.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2017. Finite volume methods for elasticity with weak symmetry. International Journal for Numerical Methods in Engineering. 939-962.
  • Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier. 2017. Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Computational Geosciences. 28 sider.
  • Nordbotten, Jan Martin. 2017. Analytical solutions for aquifer thermal energy storage. Water Resources Research. 1354-1368.
  • Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin. 2017. A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. IMA Journal of Numerical Analysis. 884-920.
  • Balbarini, Nicola; Boon, Wietse; Nicolajsen, Ellen; Nordbotten, Jan Martin; Bjerg, Poul L; Binning, Philip J. 2017. A 3-D numerical model of the influence of meanders on groundwater discharge to a gaining stream in an unconfined sandy aquifer. Journal of Hydrology. 168-181.
  • Bjørnarå, Tore Ingvald; Nordbotten, Jan Martin; Park, Joonsang. 2016. Vertically integrated models for coupled two-phase flow and geomechanics in porous media. Water Resources Research. 1398-1417.
  • Nordbotten, Jan Martin. 2016. Stable cell-centered finite volume discretization for biot equations. SIAM Journal on Numerical Analysis. 942-968.
  • Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin. 2016. Rayleigh–Taylor instability of immiscible fluids in porous media. Continuum Mechanics and Thermodynamics. 721-731.
  • Hodneland, Erlend; Hanson, Erik Andreas; Zanna, Antonella; Lundervold, Arvid; Nordbotten, Jan Martin. 2016. Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. IEEE Transactions on Biomedical Engineering. 2200-2210.
  • Boon, Wietse; Balbarini, Nicola; Binning, Philip John; Nordbotten, Jan Martin. 2016. Efficient water table evolution discretization using domain transformation. Computational Geosciences.
  • Nordbotten, Jan Martin; Stenseth, Nils Christian. 2016. Asymmetric ecological conditions favor Red-Queen type of continued evolution over stasis. Proceedings of the National Academy of Sciences of the United States of America. 1847-1852.
  • Guo, Bo; Bandilla, Karl W.; Nordbotten, Jan Martin; Celia, Michael A.; Keilegavlen, Eirik; Doster, Florian. 2016. A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. Water Resources Research. 6490-6505.
  • Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2015. Two-scale preconditioning for two-phase nonlinear flows in porous media. Transport in Porous Media. 485-503.
  • Schaffer, Benjamin E.; Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio. 2015. Plant biomass and soil moisture dynamics: Analytical results. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences.
  • Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin. 2015. Non-standard shocks in the Buckley-Leverett equation. Journal of Mathematical Analysis and Applications. 882-895.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2015. Inexact linear solvers for control volume discretizations in porous media. Computational Geosciences. 159-176.
  • Nordbotten, Jan Martin. 2015. Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. SIAM Journal on Numerical Analysis. 2605-2625.
  • Radu, Adrian Florin; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan. 2015. A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Journal of Computational and Applied Mathematics. 134-141.
  • Sandve, Tor Harald; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Physics-based preconditioners for flow in fractured porous media. Water Resources Research. 1357-1373.
  • Nordbotten, Jan Martin. 2014. Finite volume hydromechanical simulation in porous media. Water Resources Research. 4379-4394.
  • Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik. 2014. Dynamics of the interface between immiscible liquids of different densities with low Froude number. Nonlinear Analysis: Real world applications. 361-366.
  • Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik. 2014. Convective mixing influenced by the capillary transition zone. Computational Geosciences. 417-431.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Conservative inexact solvers for porous media flow. Lecture Notes in Computational Science and Engineering. 333-340.
  • Nordbotten, Jan Martin. 2014. Cell-centered finite volume discretizations for deformable porous media. International Journal for Numerical Methods in Engineering. 399-418.
  • Bjørnarå, Tore Ingvald; Mathias, Simon A.; Nordbotten, Jan Martin; Park, Joonsang; Bohloli, Bahman. 2014. Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah. Energy Procedia. 3416-3424.
  • Kang, Mary; Nordbotten, Jan Martin; Doster, Florian; Celia, Michael A. 2014. Analytical solutions for two-phase subsurface flow to a leaky fault considering vertical flow effects and fault properties. Water Resources Research. 3536-3552.
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Multiscale Modeling & simulation. 335-363.
  • Patel, Daniel; Šoltészová, Veronika; Nordbotten, Jan Martin; Bruckner, Stefan. 2013. Instant convolution shadows for volumetric detail mapping. ACM Transactions on Graphics. 154:1-154:18.
  • Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin. 2013. Influence of natural convection in a porous medium when producing from borehole heat exchangers. Water Resources Research. 4927-4938.
  • du Plessis, Elsa; Nordbotten, Jan Martin; Gasda, Sarah; Dahle, Helge K. 2013. Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. Journal of Coupled Systems and Multiscale Dynamics. 442-458.
  • Doster, Florian; Nordbotten, Jan Martin; Celia, Michael A. 2013. Impact of capillary hysteresis and trapping on vertically integrated models for CO2 storage. Advances in Water Resources. 465-474.
  • Tambue, Antoine; Berre, Inga; Nordbotten, Jan Martin. 2013. Efficient simulation of geothermal processes in heterogeneous porous media based on exponential Rosenbrock-Euler method and Rosenbrock-type methods. Advances in Water Resources. 250-262.
  • Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Domain decomposition strategies for nonlinear flow problems in porous media. Journal of Computational Physics. 439-451.
  • Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Journal of Computational Physics. 141-153.
  • Nordbotten, Jan Martin; Flemisch, Bernd; Gasda, Sarah Eileen; Nilsen, Halvor Møll; Fan, Yun; Pickup, Gillian E.; Wiese, Bernd; Celia, Michael A.; Dahle, Helge K.; Eigestad, Geir Terje; Pruess, Karsten. 2012. Uncertainties in practical simulation of CO2 storage. International Journal of Greenhouse Gas Control. 234-242.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Stephansen, Annette. 2012. Tensor relative permeabilities: Origin, modeling and numerical discretization. International Journal of Numerical Analysis & Modeling. 701-724.
  • Court, Benjanin; Bandilla, Karl W.; Celia, Michael A.; Buscheck, Thomas A.; Nordbotten, Jan Martin; Dobossy, Mark; Janzen, Adam. 2012. Initial evaluation of advantageous synergies associated with simultaneous brine production and CO2 geological sequestration. International Journal of Greenhouse Gas Control. 90-100.
  • Nilsen, Halvor Møll; Syversveen, Anne Randi; Lie, Knut-Andreas; Tveranger, Jan; Nordbotten, Jan Martin. 2012. Impact of top-surface morphology on CO2 storage capacity. International Journal of Greenhouse Gas Control. 221-235.
  • Mykkeltvedt, Trine; Nordbotten, Jan Martin. 2012. Estimating effective rates of convective mixing from commercial-scale injection. Environmental Earth Sciences. 527-535.
  • Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik. 2012. Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics. 771-787.
  • Vasilyev, Leonid; Raoof, Amir; Nordbotten, Jan Martin. 2012. Effect of mean network coordination number on dispersivity characteristics. Transport in Porous Media. 447-463.
  • Gasda, Sarah Eileen; Nordbotten, Jan Martin; Celia, Michael A. 2012. Application of simplified models to CO2 migration and immobilization in large-scale geological systems. International Journal of Greenhouse Gas Control. 72-84.
  • Court, Benjanin; Bandilla, Karl W.; Celia, Michael A.; Janzen, Adam; Dobossy, Mark; Nordbotten, Jan Martin. 2012. Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling. International Journal of Greenhouse Gas Control. 134-147.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2012. An efficient multi-point flux approximation method for Discrete Fracture–Matrix simulations. Journal of Computational Physics. 3784-3800.
  • Franz, Trenton E.; Caylor, Kelly K.; King, Elizabeth G.; Nordbotten, Jan Martin; Celia, Michael A.; Rodriguez-Iturbe, Ignacio. 2012. An ecohydrological approach to predicting hillslope-scale vegetation patterns in dryland ecosystems. Water Resources Research. 18 sider.
  • Nogues, Juan P.; Court, Benjanin; Dobossy, Mark; Nordbotten, Jan Martin; Celia, Michael A. 2012. A methodology to estimate maximum probable leakage along old wells in a geological sequestration operation. International Journal of Greenhouse Gas Control. 39-47.
  • Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. 2011. Vertically averaged approaches for CO2 migration with solubility trapping. Water Resources Research. 14 sider.
  • Aker, Eyvind; Bjørnarå, Tore Ingvald; Braathen, Alvar; Brandvoll, Øyvind; Dahle, Helge K.; Nordbotten, Jan Martin; Aagaard, Per; Hellevang, Helge; Alemu, Binyam Lema; Pham, Van Thi Hai; Johansen, Harald; Wangen, Magnus; Nøttvedt, Arvid; Aavatsmark, Ivar; Johannessen, Truls; Durand, Dominique. 2011. SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. Energy Procedia. 6117-6124.
  • Franz, TE; Nolan, Jay; Nordbotten, Jan Martin; Caylor, Kelly K.; Slater, Lee D. 2011. Quantifying Transient Soil Moisture Dynamics Using Multipoint Direct-Current Resistivity in Homogeneous Sand. Vadose Zone Journal. 286-298.
  • Pruess, Karsten; Nordbotten, Jan Martin. 2011. Numerical Simulation Studies of the Long-term Evolution of a CO2 Plume in a Saline Aquifer with a Sloping Caprock. Transport in Porous Media. 135-151.
  • Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar. 2011. Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Computational Geosciences. 587-602.
  • Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin; Rees, D. Andrew S. 2011. Linear and nonlinear convection in porous media between coaxial cylinders. Physics of Fluids. 11 sider.
  • Nordbotten, Jan Martin; Dahle, Helge K. 2011. Impact of the capillary fringe in vertically integrated models for CO2 storage. Water Resources Research.
  • Celia, Michael A.; Nordbotten, Jan Martin; Court, B; Dobossy, M; Bachu, Stefan. 2011. Field-scale application of a semi-analytical model for estimation cif CO2 and brine leakage along old wells. International Journal of Greenhouse Gas Control. 257-269.
  • Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik. 2011. Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. 3801-3808.
  • Rennermalm, Åsa; Nordbotten, Jan Martin; Wood, Eric F. 2010. Hydrologic variability and its influence on long-term peat dynamics. Water Resources Research.
  • Nordbotten, Jan Martin; Nogues, Juan P.; Celia, Michael A. 2010. Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions. SPE Journal. 228-237.
  • Franz, Trenton E.; Caylor, Kelly K.; Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio; Celia, Michael A. 2010. An ecohydrological approach to predicting regional woody species distribution patterns in dryland ecosystems. Advances in Water Resources. 215-230.
  • Nordbotten, Jan Martin; Rahman, Talal; Repin, Sergej I.; Valdman, Jan. 2010. A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. Computational Methods in Applied Mathematics. 302-314.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Heimsund, Bjørn-Ove; Mallison, Bradley; Nordbotten, Jan Martin; Øian, Erlend. 2010. A new finite-volume approach to efficient discretization on challenging grids. SPE Journal. 658-669.
  • Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. 2009. Vertical Equilibrium with Sub-scale Analytical Methods for Geological CO2 Sequestration. Computational Geosciences. 469-481.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Aavatsmark, Ivar. 2009. Sufficient criteria are necessary for monotone control volume methods. Applied Mathematics Letters. 1178-1180.
  • Celia, Michael A.; Nordbotten, Jan Martin. 2009. Practical Modeling Approaches for Geological Storage of Carbon Dioxide. Ground Water. 627-638.
  • Nordbotten, Jan Martin; Hægland, Håkon. 2009. On reproducing uniform flow exactly on general hexahedral cells using one degree of freedom per surface. Advances in Water Resources. 264-267.
  • Nordbotten, Jan Martin. 2009. Multiscale methods for multiphase flow in porous media. Lecture Notes in Computational Science and Engineering. 39-50.
  • Nordbotten, Jan Martin; Kavetski, Dmitri; Celia, Michael A.; Bachu, Stefan. 2009. Model for CO2 leakage including multiple geological layers and multiple leaky wells. Environmental Science and Technology. 743-749.
  • Nordbotten, Jan Martin. 2009. Adaptive variational multiscale methods for multiphase flow in porous media. Multiscale Modeling & simulation. 1455-1473.
  • Class, Holger; Ebigbo, Anozie; Helmig, Rainer; Dahle, Helge Ketil; Nordbotten, Jan Martin; Celia, Michael A.; Pascal, Audigane; Darcis, Melanie; Ennis-King, Jonathan; Fan, Yaqing; Flemisch, Bernd; Gasda, Sarha; Jin, Min; Krug, Stefanie; Labregere, Diane; Beni, Ali Naderi; Pawar, Rajesh J.; Sbai, Adil; Thomas, Sunil G.; Trenty, Laurent; Lingli, Wei. 2009. A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. Computational Geosciences. 409-434.
  • Nordbotten, Jan Martin. 2008. Stability analysis of probabilistic soil moisture dynamics. Advances in Water Resources. 418-423.
  • Nordbotten, Jan Martin; Bjørstad, Petter Erling. 2008. On the relationship between the multiscale finite-volume method and domain decomposition preconditioners. Computational Geosciences. 367-376.
  • Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil; Hassanizadeh, S. Majid. 2008. On the definition of macroscale pressure for multiphase flow in porous media. Water Resources Research. 8 sider.
  • Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. 2008. Determining effective wellbore permeability from a field pressure test: a numerical analysis of detection limits. Environmental Geology. 1207-1215.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Mallison, Brad T.; Nordbotten, Jan Martin. 2008. A compact multipoint flux approximation method with improved robustness. Numerical Methods for Partial Differential Equations. 1329-1360.
  • Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio; Celia, Michael A. 2007. Stochastic coupling of rainfall and biomass dynamics. Water Resources Research. 7 sider.
  • Nordbotten, Jan Martin; Aavatsmark, Ivar; Eigestad, Geir Terje. 2007. Monotonicity of control volume methods. Numerische Mathematik. 255-288.
  • Lie, Johan; Nordbotten, Jan Martin. 2007. Inverse scale spaces for nonlinear regularization. Journal of Mathematical Imaging and Vision. 41-50.
  • Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil; Hassanizadeh, S. Majid. 2007. Interpretation of macroscale variables in Darcy's law. Water Resources Research. 9 sider.
  • Nordbotten, Jan Martin; Celia, Michael A. 2006. Similarity solutions for fluid injection into confined aquifers. Journal of Fluid Mechanics. 307-327.
  • Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio; Celia, Michael A. 2006. Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 2359-2371.
  • Nordbotten, Jan Martin; Celia, MA. 2006. An improved analytical solution for interface upconing around a well. Water Resources Research. 10 sider.
  • Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan; Dahle, Helge Ketil. 2005. Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. Environmental Science and Technology. 602-611.
  • Nordbotten, Jan Martin; Aavatsmark, Ivar. 2005. Monotonicity Conditions for Control Volume Methods on Uniform Parallelogram Grids in Homogeneous Media. Computational Geosciences. 61-72.
  • Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan. 2005. Injection and Storage of CO2 in Deep Saline Aquifers: Analytical Solution for CO2 Plume Evolution During Injection. Transport in Porous Media. 339-360.
  • Nordbotten, Jan Martin; Eigestad, Geir Terje. 2005. Discretization on quadrilateral grids with improved monotonicity properties. Journal of Computational Physics. 744-760.
  • Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan. 2004. Analytical solutions for leakage rates through abandoned wells. Water Resources Research. art. no.-W04204.
Faglig foredrag
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2015. Phase-field modelling of fluid pressure-induced fractures.
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2015. Fracture propagation in Enhanced Geothermal Systems.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2010. An integrated fracture and continuum model for simulating heat and mass transfer in geothermal systems.
Vitenskapelig foredrag
  • Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin. 2019. The mathematical structure of coupled 1D-3D flow models .
  • Watson, Francesca; Kang, Mary; Doster, Florian; Celia, Michael; Nordbotten, Jan Martin. 2019. Reduced complexity modelling of CO2 leakage through faults.
  • Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2019. Numerical Modeling of Fracture Reactivation in a Three-dimensional Domain Based on a Coulomb Friction Law.
  • Brun, Mats Kirkesæther; Ahmed, Elyes; Radu, Florin Adrian; Berre, Inga; Nordbotten, Jan Martin. 2019. Monolithic and Splitting Based Solution Schemes for Nonlinear Quasi-static Thermo-poroelasticity.
  • Keilegavlen, Eirik; Fumagalli, Alessio; Stefansson, Ivar; Berre, Inga; Nordbotten, Jan Martin. 2019. Mixed-dimensional discrete fracture matrix models with heterogeneous discretization and non-matching grids.
  • Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin. 2019. Coupled 1D-3D flow models .
  • Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2019. Consistent discretization of flow for inhomogeneous gravitational fields.
  • Starnoni, Michele; Berre, Inga; Nordbotten, Jan Martin; Keilegavlen, Eirik. 2019. Challenges in Modelling the Anisotropic Poroelastoplastic Behaviour of Fractured Rocks as Homogenized Media.
  • Qohar, Ulin Nuha Abdul; Zanna, Antonella; Nordbotten, Jan Martin; Hanson, Erik Andreas. 2019. A study of blood flow regulation on collateral circulation using multiscale flow model.
  • Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin. 2018. Well Modelling By Means Of Coupled 1D-3D Flow Models .
  • Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2018. Viscous fingering in fractured porous media.
  • Brun, Mats Kirkesæther; Radu, Florin Adrian; Berre, Inga; Nordbotten, Jan Martin; Ahmed, Elyes. 2018. Upscaling of coupled geomechanics, flow, and heat in a poroelastic medium in the quasi-static situation.
  • Keilegavlen, Eirik; Fumagalli, Alessio; Stefansson, Ivar; Berre, Inga; Nordbotten, Jan Martin. 2018. Unified modeling and discretization of flow in fractured porous media.
  • Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin. 2018. The Mathematical Structure of Coupled 1D-3D Models.
  • Nordbotten, Jan Martin. 2018. Mixed-dimensional models for materials with thin layers.
  • Nordbotten, Jan Martin. 2018. Mixed-dimensional models for materials with thin layers.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Boon, Wietse; Fumagalli, Alessio. 2018. A general framework for heterogeneous discretizations in mixed-dimensional single-phase flow.
  • Kumar, Kundan; Gjerde, Ingeborg Gåseby; Nordbotten, Jan Martin; Wohlmuth, Barbara. 2017. Solution strategies for the coupling of mixed dimensional problems.
  • Kumar, Kundan; Gjerde, Ingeborg Gåseby; Nordbotten, Jan Martin; Wohlmuth, Barbara. 2017. Solution strategies for a 3D-1D coupling model.
  • Nordbotten, Jan Martin. 2017. Modeling, structure, and discretization of mixed-dimensional PDE.
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2017. Hybrid FE-FV scheme for modeling pressure-induced fracture propagation in porous media using a phase-field approach.
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2017. High-accuracy phase-field models for brittle fracture based on a new family of degradation functions.
  • Keilegavlen, Eirik; Ucar, Eren; Nordbotten, Jan Martin; Berre, Inga. 2017. Finite volume discretizations of poro-elasticity in high­ contrast media.
  • Nordbotten, Jan Martin. 2016. Stable and Robust Finite Volume Discretization of Biot’s Equations.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Ucar, Eren; Berre, Inga. 2016. A weakly symmetric finite volume method for elasticity with application to fractures in porous media.
  • Nissen, Anna Maria; Pettersson, Per; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2015. Incorporating Geological Uncertainty in Error Control for Linear Solvers.
  • Gasda, Sarah Eileen; Dahle, Helge K.; Nordbotten, Jan Martin; Nilsen, Halvor Møll. 2013. Quantifying storage capacity using upscaled models for CO2 storage.
  • Tambue, Antoine; Berre, Inga; Nordbotten, Jan Martin; Sandve, Tor Harald. 2012. Exponential Euler Time Integrator for Simulation of Geothermal Processes in Heterogeneous Porous Media.
  • Berre, Inga; Sandve, Tor Harald; Tambue, Antoine; Nordbotten, Jan Martin. 2012. A MPFA approach for simulation of fluid flow and heat transfer in fractured reservoirs.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2011. Discrete Fracture Matrix models for modelling heat and mass transfer in geothermal reservoirs.
  • Berre, Inga; Bringedal, Carina; Nordbotten, Jan Martin; Sandve, Tor Harald; Tambue, Antoine. 2011. Challenges in mathematical modeling and numerical simulation of geothermal systems.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2011. An efficient Multi-Point-Flux-Approximation (MPFA) approach to Discrete Fracture Matrix (DFM) flow models.
  • Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin. 2010. Convection cells in porous media. Seminar on flow in porous media and multiscale methods.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2010. A numerical modell of an enhanced geothermal system.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Mallison, Brad T.; Nordbotten, Jan Martin. 2007. Multipoint flux discretization techniques for general media and scale issues.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae; Mallison, Brad T.; Nordbotten, Jan Martin. 2007. Convergence and monotonicity properties of MPFA methods.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Heimsund, Bjørn-Ove; Mallison, Brad T.; Nordbotten, Jan Martin; Øian, Erlend. 2007. A new finite volume approach to efficient discretization on challenging grids.
  • Puma, Michael; Celia, Michael A.; Rodriguez-Iturbe, Ignacio; Nordbotten, Jan Martin; Guswa, Andrew. 2006. Threshold scales for spatially averaged soil moisture and evapotranspiration with rainfall heterogeneity.
  • Hægland, Håkon; Celia, Michael A.; Dahle, Helge Ketil; Eigestad, Geir Terje; Nordbotten, Jan Martin. 2006. Streamline methods on fault adapted grids for risk assessment of storage of CO2 in geological formations.
  • Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. 2006. Significance of dipping angle on CO2 plume migration in deep saline aquifers.
  • Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil; Hassanizadeh, S. Majid. 2006. On the definition of macro-scale pressure for multi-phase flow in porous media.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Mundal, Sissel Slettemark; Nordbotten, Jan Martin. 2006. Monotonicity of control-volume methods.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae; Nordbotten, Jan Martin. 2006. Control-volume discretization of elliptic operators on general grids.
  • Kavetski, Dmitri; Nordbotten, Jan Martin; Celia, Michael A. 2006. Analysis of potential CO2 leakage through abandoned wells using a semi-anlytical model.
  • Nordbotten, Jan Martin; Celia, Michael A. 2006. Analysis of plume extent using analytical solutions for CO2 storage.
  • Celia, Michael A.; Bachu, Stefan; Nordbotten, Jan Martin; Kavetski, Dmitri; Gasda, Sarah E. 2006. A risk assessment tool to quantify CO2 leakage potential through wells in mature sedimentary basins.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Nordbotten, Jan Martin. 2005. Properties of MPFA methods on quadrilateral grids.
  • Eigestad, Geir Terje; Aavatsmark, Ivar; Øian, Erlend; Nordbotten, Jan Martin; Heimsund, Bjørn-Ove. 2005. Monotonicity Investigation of Various MPFA Methods onChallenging Grids and Medium Heterogeneities.
  • Celia, Michael A.; Bachu, Stefan; Nordbotten, Jan Martin; Kavetski, Dmitri; Gasda, Sarah E. 2005. Modeling Critical Leakage Pathways in a Risk Assessment Framework: Representation of Abandoned Wells.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae; Nordbotten, Jan Martin. 2005. Control-volume discretizations compatible with physics.
  • Eigestad, Geir Terje; Aadland, Torbjørn; Aavatsmark, Ivar; Klausen, Runhild; Nordbotten, Jan Martin. 2004. Recent advances for MPFA methods.
  • Celia, Michael A.; Bachu, Stefan; Nordbotten, Jan Martin; Gasda, Sarah; Dahle, Helge Ketil. 2004. Quantitative estimation of CO2 leakage from geological storage: Analytical models, numerical models, and data needs.
  • Bachu, Stefan; Nordbotten, Jan Martin; Celia, Michael A. 2004. Evaluation of the spread of acid gas plumes injected in deep saline aquifers in western Canada as an analogue to CO2 injection in continental sedimentary basins.
  • Nordbotten, Jan Martin; Eigestad, Geir Terje. 2003. Monotonicity Conditions for Control Volume Methods on General Grids; Application to MPFA.
Leder
  • Flemisch, Bernd; Nordbotten, Jan Martin; Nowak, Wolfgang; Raoof, Amir. 2016. Editorial: Special Issue on “NUPUS: Non-linearities and Upscaling in PoroUS Media”. Transport in Porous Media. 237-240.
Vitenskapelig antologi/Konferanseserie
  • Radu, Florin Adrian; Kumar, Kundan; Berre, Inga; Nordbotten, Jan Martin; Pop, Iuliu Sorin. 2019. Numerical Mathematics and Advanced Applications ENUMATH 2017. Springer Berlin/Heidelberg.
Populærvitenskapelig artikkel
  • Nordbotten, Jan Martin; Rygg, Kristin. 2010. Klasseromsforsøk om lagring av CO2 under havbunnen. Naturfag. 66-67.
Kronikk
  • Nordbotten, Jan Martin. 2012. Matematikk som samfunnsfag. Bergens Tidende.
  • Nordbotten, Jan Martin. 2012. Kan CO2 lagres i undergrunnen? Morgenbladet.
  • Nordbotten, Jan Martin; Dahle, Helge Ketil. 2008. Utopiske Greenpeace. Dagbladet.
  • Berre, Inga; Nordbotten, Jan Martin. 2007. Geotermisk energi - glemt i energidebatten? Bergens Tidende.
Doktorgradsavhandling
  • Brun, Mats Kirkesæther. 2019. Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity.
  • Sargado, Juan Michael. 2019. Phase-field Modeling and Simulation of Brittle Fracture.
  • Ucar, Eren. 2018. Numerical modeling of shear stimulation in naturally fractured geothermal reservoirs.
  • Bjørnarå, Tore Ingvald. 2018. Model development for efficient simulation of CO2 storage.
  • Boon, Wietse. 2018. Conforming Discretizations of Mixed-Dimensional Partial Differential Equations.
  • Alyaev, Sergey. 2017. Multiscale analysis of selected problems in fluid dynamics.
  • Skogestad, Jan Ole. 2015. Solution strategies for nonlinear conservation laws.
  • Sandve, Tor Harald. 2013. Multiscale simulation of flow and heat transport in fractured geothermal reservoirs.
  • Nordbotten, Jan Martin. 2004. Sequestration of Carbon in Saline Aquifers - Mathematical and Numerical Analysis.
Dokumentar
  • Nordbotten, Jan Martin. 2019. CO2-lagringsforsøk.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2019. Anisotropic Poroelastoplastic Constitutive Model of Fractured Rocks.
  • Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian. 2017. Iterative Methods for Coupled Flow and Geomechanics in Unsaturated Porous Media.
  • Marban, David Landa; Radu, Florin Adrian; Nordbotten, Jan Martin. 2017. A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area .
  • Sandve, Tor Harald; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Multiscale simulation of flow and heat transport in fractured geothermal reservoirs: inexact solvers and improved transport upscaling.
  • Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin. 2013. Influence of convection on production from borehole heat exchangers.
  • Nordbotten, Jan Martin; Keilegavlen, Eirik; Sandvin, Andreas. 2012. Mass conservative domain decomposition for porous media flow. 23 sider.
  • Sandve, Tor Harald; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2012. Mass Conservative Domain Decomposition for Fractured Porous Media.
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2012. MULTISCALE SIMULATION OF NON-DARCY FLOWS. 8 sider.
  • Tambue, Antoine; Berre, Inga; Nordbotten, Jan Martin; Sandve, Tor Harald. 2012. Exponential Euler Time Integrator for Simulation of Geothermal Processes in Heterogeneous Porous Media. 8 sider.
  • Nordbotten, Jan Martin. 2010. Variational and heterogeneous multiscale methods. 15 sider.
  • Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin. 2010. An integrated fracture and continuum model for simulating heat and mass transfer in geothermal systems.
  • Sandvin, Andreas; Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2010. A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids.
  • Aavatsmark, Ivar; Eigestad, Geir Terje; Nordbotten, Jan Martin. 2006. A compact MPFA method with improved robustness. 12 sider.
Sammendrag/abstract
  • Celia, MA; Nordbotten, Jan Martin; Gasda, SE; Kavetski, D; Bachu, S. 2007. Geological storage as a carbon mitigation option. Geochimica et Cosmochimica Acta.
Vitenskapelig oversiktsartikkel/review
  • Celia, MA; Bachu, S; Nordbotten, Jan Martin; Bandilla, KW. 2015. Status of CO<sub>2</sub> storage in deep saline aquifers with emphasis on modeling approaches and practical simulations. 6846-6892.

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