Jan Martin  Nordbotten's picture
Eivind Senneset

Jan Martin Nordbotten

  • E-mailjan.nordbotten@uib.no
  • Phone+47 909 65 990
  • Visitor Address
    Allégaten 41
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen

Jan Martin Nordbotten was the youngest ever to complete a PhD in Norway, and the third-youngest professor. He is currently part of the porous media research group in the Department of Mathematics at the University of Bergen. 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 some of 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. 

Academic article
  • Show author(s) (2024). Scaling Up FluidFlower Results for Carbon Dioxide Storage in Geological Media. Transport in Porous Media.
  • Show author(s) (2022). The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number. arXiv.
  • Show author(s) (2022). Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates. SIAM Journal on Applied Mathematics. 450-475.
  • Show author(s) (2022). Mixed-dimensional poromechanical models of fractured porous media. Acta Mechanica. 1121-1168.
  • Show author(s) (2021). The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence. Lecture Notes in Computational Science and Engineering.
  • Show author(s) (2021). Temperature-Dependent Bending Rigidity of AB-Stacked Bilayer Graphene. Physical Review Letters.
  • Show author(s) (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. SIAM Journal on Numerical Analysis. 583-612.
  • Show author(s) (2021). Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions. International Journal for Numerical Methods in Engineering. 4730-4750.
  • Show author(s) (2021). An accelerated staggered scheme for variational phase-field models of brittle fracture. Computer Methods in Applied Mechanics and Engineering. 1-19.
  • Show author(s) (2021). A nonlinear multi-scale model for blood circulation in a realistic vascular system. Royal Society Open Science.
  • Show author(s) (2021). A minimalist model for coevolving supply and drainage networks. Royal Society Open Science. 1-18.
  • Show author(s) (2021). A Mixed Approach to the Poisson Problem with Line Sources. SIAM Journal on Numerical Analysis. 1117-1139.
  • Show author(s) (2021). A Cahn-Hilliard-Biot system and its generalized gradient flow structure. Applied Mathematics Letters. 8 pages.
  • Show author(s) (2020). The dynamics of trait variance in multi-species communities. Royal Society Open Science. 1-20.
  • Show author(s) (2020). Stable mixed finite elements for linear elasticity with thin inclusions. Computational Geosciences.
  • Show author(s) (2020). Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Computers and Mathematics with Applications.
  • Show author(s) (2020). Functional analysis and exterior calculus on mixed-dimensional geometries. Annali di Matematica Pura ed Applicata. 1-33.
  • Show author(s) (2020). Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems. Springer Proceedings in Mathematics & Statistics. 435-444.
  • Show author(s) (2020). An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Computer Methods in Applied Mechanics and Engineering. 1-22.
  • Show author(s) (2020). A multipoint stress mixed finite element method for elasticity on simplicial grids. SIAM Journal on Numerical Analysis. 630-656.
  • Show author(s) (2020). A multipoint stress mixed finite element method for elasticity on quadrilateral grids. Numerical Methods for Partial Differential Equations.
  • Show author(s) (2019). Splitting method for elliptic equations with line sources. Modélisation mathématique et analyse numérique. 1715-1739.
  • Show author(s) (2019). On the optimization of the fixed‐stress splitting for Biot's equations. International Journal for Numerical Methods in Engineering. 179-194.
  • Show author(s) (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.
  • Show author(s) (2019). Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. Lecture Notes in Computational Science and Engineering. 49-63.
  • Show author(s) (2019). Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering. 644-663.
  • Show author(s) (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. 1-25.
  • Show author(s) (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.
  • Show author(s) (2018). In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging. IEEE Transactions on Biomedical Engineering. 1779-1790.
  • Show author(s) (2018). A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. Computational Geosciences. 107-126.
  • Show author(s) (2017). Robust fixed stress splitting for Biot's equations in heterogeneous media. Applied Mathematics Letters. 101-108.
  • Show author(s) (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.
  • Show author(s) (2017). Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. Transport in Porous Media. 395-413.
  • Show author(s) (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.
  • Show author(s) (2017). Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Computational Geosciences. 451-467.
  • Show author(s) (2017). Fractal structures in freezing brine. Journal of Fluid Mechanics. 975-995.
  • Show author(s) (2017). Finite volume methods for elasticity with weak symmetry. International Journal for Numerical Methods in Engineering. 939-962.
  • Show author(s) (2017). Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Computational Geosciences. 28 pages.
  • Show author(s) (2017). Analytical solutions for aquifer thermal energy storage. Water Resources Research. 1354-1368.
  • Show author(s) (2017). A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. IMA Journal of Numerical Analysis. 884-920.
  • Show author(s) (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.
  • Show author(s) (2016). Vertically integrated models for coupled two-phase flow and geomechanics in porous media. Water Resources Research. 1398-1417.
  • Show author(s) (2016). Stable cell-centered finite volume discretization for biot equations. SIAM Journal on Numerical Analysis. 942-968.
  • Show author(s) (2016). Rayleigh–Taylor instability of immiscible fluids in porous media. Continuum Mechanics and Thermodynamics. 721-731.
  • Show author(s) (2016). Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. IEEE Transactions on Biomedical Engineering. 2200-2210.
  • Show author(s) (2016). Efficient water table evolution discretization using domain transformation. Computational Geosciences.
  • Show author(s) (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.
  • Show author(s) (2016). A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. Water Resources Research. 6490-6505.
  • Show author(s) (2015). Two-scale preconditioning for two-phase nonlinear flows in porous media. Transport in Porous Media. 485-503.
  • Show author(s) (2015). Plant biomass and soil moisture dynamics: Analytical results. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences.
  • Show author(s) (2015). Non-standard shocks in the Buckley-Leverett equation. Journal of Mathematical Analysis and Applications. 882-895.
  • Show author(s) (2015). Inexact linear solvers for control volume discretizations in porous media. Computational Geosciences. 159-176.
  • Show author(s) (2015). Full pressure coupling for geomechanical multiphase multicomponent flow simulation. Journal of Petroleum Technology. 87-89.
  • Show author(s) (2015). Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. SIAM Journal on Numerical Analysis. 2605-2625.
  • Show author(s) (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.
  • Show author(s) (2014). Physics-based preconditioners for flow in fractured porous media. Water Resources Research. 1357-1373.
  • Show author(s) (2014). Finite volume hydromechanical simulation in porous media. Water Resources Research. 4379-4394.
  • Show author(s) (2014). Dynamics of the interface between immiscible liquids of different densities with low Froude number. Nonlinear Analysis: Real world applications. 361-366.
  • Show author(s) (2014). Convective mixing influenced by the capillary transition zone. Computational Geosciences. 417-431.
  • Show author(s) (2014). Conservative inexact solvers for porous media flow. Lecture Notes in Computational Science and Engineering. 333-340.
  • Show author(s) (2014). Cell-centered finite volume discretizations for deformable porous media. International Journal for Numerical Methods in Engineering. 399-418.
  • Show author(s) (2014). Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah. Energy Procedia. 3416-3424.
  • Show author(s) (2014). Analytical solutions for two-phase subsurface flow to a leaky fault considering vertical flow effects and fault properties. Water Resources Research. 3536-3552.
  • Show author(s) (2014). Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Multiscale Modeling & simulation. 335-363.
  • Show author(s) (2013). Instant convolution shadows for volumetric detail mapping. ACM Transactions on Graphics. 154:1-154:18.
  • Show author(s) (2013). Influence of natural convection in a porous medium when producing from borehole heat exchangers. Water Resources Research. 4927-4938.
  • Show author(s) (2013). Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. Journal of Coupled Systems and Multiscale Dynamics. 442-458.
  • Show author(s) (2013). Impact of capillary hysteresis and trapping on vertically integrated models for CO2 storage. Advances in Water Resources. 465-474.
  • Show author(s) (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.
  • Show author(s) (2013). Domain decomposition strategies for nonlinear flow problems in porous media. Journal of Computational Physics. 439-451.
  • Show author(s) (2013). Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Journal of Computational Physics. 141-153.
  • Show author(s) (2012). Uncertainties in practical simulation of CO2 storage. International Journal of Greenhouse Gas Control. 234-242.
  • Show author(s) (2012). Tensor relative permeabilities: Origin, modeling and numerical discretization. International Journal of Numerical Analysis & Modeling. 701-724.
  • Show author(s) (2012). Initial evaluation of advantageous synergies associated with simultaneous brine production and CO2 geological sequestration. International Journal of Greenhouse Gas Control. 90-100.
  • Show author(s) (2012). Impact of top-surface morphology on CO2 storage capacity. International Journal of Greenhouse Gas Control. 221-235.
  • Show author(s) (2012). Estimating effective rates of convective mixing from commercial-scale injection. Environmental Earth Sciences. 527-535.
  • Show author(s) (2012). Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics. 771-787.
  • Show author(s) (2012). Effect of mean network coordination number on dispersivity characteristics. Transport in Porous Media. 447-463.
  • Show author(s) (2012). Application of simplified models to CO2 migration and immobilization in large-scale geological systems. International Journal of Greenhouse Gas Control. 72-84.
  • Show author(s) (2012). Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling. International Journal of Greenhouse Gas Control. 134-147.
  • Show author(s) (2012). An efficient multi-point flux approximation method for Discrete Fracture–Matrix simulations. Journal of Computational Physics. 3784-3800.
  • Show author(s) (2012). An ecohydrological approach to predicting hillslope-scale vegetation patterns in dryland ecosystems. Water Resources Research. 18 pages.
  • Show author(s) (2012). A methodology to estimate maximum probable leakage along old wells in a geological sequestration operation. International Journal of Greenhouse Gas Control. 39-47.
  • Show author(s) (2011). Vertically averaged approaches for CO2 migration with solubility trapping. Water Resources Research. 14 pages.
  • Show author(s) (2011). SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. Energy Procedia. 6117-6124.
  • Show author(s) (2011). Quantifying Transient Soil Moisture Dynamics Using Multipoint Direct-Current Resistivity in Homogeneous Sand. Vadose Zone Journal. 286-298.
  • Show author(s) (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.
  • Show author(s) (2011). Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Computational Geosciences. 587-602.
  • Show author(s) (2011). Linear and nonlinear convection in porous media between coaxial cylinders. Physics of Fluids. 11 pages.
  • Show author(s) (2011). Impact of the capillary fringe in vertically integrated models for CO2 storage. Water Resources Research.
  • Show author(s) (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.
  • Show author(s) (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. 3801-3808.
  • Show author(s) (2010). Hydrologic variability and its influence on long-term peat dynamics. Water Resources Research.
  • Show author(s) (2010). Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions. SPE Journal. 228-237.
  • Show author(s) (2010). An ecohydrological approach to predicting regional woody species distribution patterns in dryland ecosystems. Advances in Water Resources. 215-230.
  • Show author(s) (2010). A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. Computational Methods in Applied Mathematics. 302-314.
  • Show author(s) (2010). A new finite-volume approach to efficient discretization on challenging grids. SPE Journal. 658-669.
  • Show author(s) (2009). Vertical Equilibrium with Sub-scale Analytical Methods for Geological CO2 Sequestration. Computational Geosciences. 469-481.
  • Show author(s) (2009). Sufficient criteria are necessary for monotone control volume methods. Applied Mathematics Letters. 1178-1180.
  • Show author(s) (2009). Practical Modeling Approaches for Geological Storage of Carbon Dioxide. Ground Water. 627-638.
  • Show author(s) (2009). On reproducing uniform flow exactly on general hexahedral cells using one degree of freedom per surface. Advances in Water Resources. 264-267.
  • Show author(s) (2009). Multiscale methods for multiphase flow in porous media. Lecture Notes in Computational Science and Engineering. 39-50.
  • Show author(s) (2009). Model for CO2 leakage including multiple geological layers and multiple leaky wells. Environmental Science and Technology. 743-749.
  • Show author(s) (2009). Adaptive variational multiscale methods for multiphase flow in porous media. Multiscale Modeling & simulation. 1455-1473.
  • Show author(s) (2009). A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. Computational Geosciences. 409-434.
  • Show author(s) (2008). Stability analysis of probabilistic soil moisture dynamics. Advances in Water Resources. 418-423.
  • Show author(s) (2008). On the relationship between the multiscale finite-volume method and domain decomposition preconditioners. Computational Geosciences. 367-376.
  • Show author(s) (2008). On the definition of macroscale pressure for multiphase flow in porous media. Water Resources Research. 8 pages.
  • Show author(s) (2008). Determining effective wellbore permeability from a field pressure test: a numerical analysis of detection limits. Environmental Geology. 1207-1215.
  • Show author(s) (2008). A compact multipoint flux approximation method with improved robustness. Numerical Methods for Partial Differential Equations. 1329-1360.
  • Show author(s) (2007). Stochastic coupling of rainfall and biomass dynamics. Water Resources Research. 7 pages.
  • Show author(s) (2007). Monotonicity of control volume methods. Numerische Mathematik. 255-288.
  • Show author(s) (2007). Inverse scale spaces for nonlinear regularization. Journal of Mathematical Imaging and Vision. 41-50.
  • Show author(s) (2007). Interpretation of macroscale variables in Darcy's law. Water Resources Research. 9 pages.
  • Show author(s) (2006). Similarity solutions for fluid injection into confined aquifers. Journal of Fluid Mechanics. 307-327.
  • Show author(s) (2006). Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 2359-2371.
  • Show author(s) (2006). An improved analytical solution for interface upconing around a well. Water Resources Research. 10 pages.
  • Show author(s) (2005). Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. Environmental Science and Technology. 602-611.
  • Show author(s) (2005). Monotonicity Conditions for Control Volume Methods on Uniform Parallelogram Grids in Homogeneous Media. Computational Geosciences. 61-72.
  • Show author(s) (2005). Injection and Storage of CO2 in Deep Saline Aquifers: Analytical Solution for CO2 Plume Evolution During Injection. Transport in Porous Media. 339-360.
  • Show author(s) (2005). Discretization on quadrilateral grids with improved monotonicity properties. Journal of Computational Physics. 744-760.
  • Show author(s) (2004). Analytical solutions for leakage rates through abandoned wells. Water Resources Research. art. no.-W04204.
Academic anthology/Conference proceedings
  • Show author(s) (2019). Numerical Mathematics and Advanced Applications ENUMATH 2017. Springer Berlin/Heidelberg.

More information in national current research information system (CRIStin)