Jan Martin  Nordbottens bilde
Eivind Senneset

Jan Martin Nordbotten

  • E-postjan.nordbotten@uib.no
  • Telefon+47 909 65 990
  • Besøksadresse
    Allégaten 41
    5007 Bergen
  • Postadresse
    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 automatically generated based on that national research database CRIStin, and may not be complete (in particular for older works). 

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

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