Inverse Scale Spaces for Nonlinear Regularization. - Johan Lie; Jan M. Nordbotten (J. Math. Imaging Vis., 2007)

Monotonicity of control volume methods. - Jan M. Nordbotten; Ivar Aavatsmark; G. T. Eigestad (Numerische Mathematik, 2007)

Adaptive Variational Multiscale Methods for Multiphase Flow in Porous Media. - Jan M. Nordbotten (Multiscale Model. Simul., 2008)

Sufficient criteria are necessary for monotone control volume methods. - Eirik Keilegavlen; Jan M. Nordbotten; Ivar Aavatsmark (Appl. Math. Lett., 2009)

A Posteriori Error Estimates for Approximate Solutions of the Barenblatt-Biot Poroelastic Model. - Jan M. Nordbotten; Talal Rahman; Sergey I. Repin; Jan Valdman (Comput. Methods Appl. Math., 2010)

Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. - Florian Doster; Jan M. Nordbotten; Michael A. Celia (Comput. Vis. Sci., 2012)

An efficient multi-point flux approximation method for Discrete Fracture-Matrix simulations. - Tor Harald Sandve; Inga Berre; Jan M. Nordbotten (J. Comput. Phys., 2012)

Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. - Andreas Sandvin; Eirik Keilegavlen; Jan M. Nordbotten (J. Comput. Phys., 2013)

Domain decomposition strategies for nonlinear flow problems in porous media. - Jan Ole Skogestad; Eirik Keilegavlen; Jan M. Nordbotten (J. Comput. Phys., 2013)

Instant convolution shadows for volumetric detail mapping. - Daniel Patel; Veronika Soltészová; Jan Martin Nordbotten; Stefan Bruckner (ACM Trans. Graph., 2013)

Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media. - Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten (Multiscale Model. Simul., 2014)

A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. - Florin Adrian Radu; Jan Martin Nordbotten; Iuliu Sorin Pop; Kundan Kumar 001 (J. Comput. Appl. Math., 2015)

Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. - Jan Martin Nordbotten (SIAM J. Numer. Anal., 2015)

Stable Cell-Centered Finite Volume Discretization for Biot Equations. - Jan Martin Nordbotten (SIAM J. Numer. Anal., 2016)

Physical Models for Simulation and Reconstruction of Human Tissue Deformation Fields in Dynamic MRI. - Erlend Hodneland; Erik A. Hanson; Antonella Munthe-Kaas; Arvid Lundervold; Jan M. Nordbotten (IEEE Trans. Biomed. Eng., 2016)

Robust fixed stress splitting for Biot's equations in heterogeneous media. - Jakub Wiktor Both; Manuel Borregales; Jan Martin Nordbotten; Kundan Kumar 001; Florin Adrian Radu (Appl. Math. Lett., 2017)

Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs. - Anna Nissen; Eirik Keilegavlen; Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (CoRR, 2017)

Robust Discretization of Flow in Fractured Porous Media. - Wietse M. Boon; Jan M. Nordbotten; Ivan Yotov (SIAM J. Numer. Anal., 2018)

An Adaptive Penalty Method for Inequality Constrained Minimization Problems. - Wietse M. Boon; Jan M. Nordbotten (ENUMATH, 2019)

A Multi-Scale Flow Model for Studying Blood Circulation in Vascular System. - Ulin Nuha Abdul Qohar; Antonella Zanna Munthe-Kaas; Jan Martin Nordbotten; Erik Andreas Hanson (ENUMATH, 2019)

The Fixed-Stress Splitting Scheme for Biot's Equations as a Modified Richardson Iteration: Implications for Optimal Convergence. - Erlend Storvik; Jakub Wiktor Both; Jan Martin Nordbotten; Florin Adrian Radu (ENUMATH, 2019)

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. - Jakub Wiktor Both; Kundan Kumar 001; Jan Martin Nordbotten; Florin Adrian Radu (Comput. Math. Appl., 2019)

Robust linear domain decomposition schemes for reduced non-linear fracture flow models. - Elyes Ahmed; Alessio Fumagalli; Ana Budisa; Eirik Keilegavlen; Jan M. Nordbotten; Florin A. Radu (CoRR, 2019)

The gradient flow structures of thermo-poro-visco-elastic processes in porous media. - Jakub Wiktor Both; Kundan Kumar 001; Jan Martin Nordbotten; Florin Adrian Radu (CoRR, 2019)

A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. - Erlend Hodneland; Erik A. Hanson; Ove Sævareid; Geir Nævdal; Arvid Lundervold; Veronika Soltészová; Antonella Zanna Munthe-Kaas; Andreas Deistung; Jürgen R. Reichenbach; Jan M. Nordbotten (PLoS Comput. Biol., 2019)

In Vivo Detection of Chronic Kidney Disease Using Tissue Deformation Fields From Dynamic MR Imaging. - Erlend Hodneland; Eirik Keilegavlen; Erik A. Hanson; Erling Andersen; Jan Ankar Monssen; Jarle Rørvik; Sabine Leh; Hans-Peter Marti; Arvid Lundervold; Einar Svarstad; Jan M. Nordbotten (IEEE Trans. Biomed. Eng., 2019)

Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. - Mats Kirkesæther Brun; Elyes Ahmed; Inga Berre; Jan Martin Nordbotten; Florin Adrian Radu (Comput. Math. Appl., 2020)

An Introduction to Multi-Point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity. - Jan Martin Nordbotten; Eirik Keilegavlen (CoRR, 2020)

Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap. - Erlend Hodneland; Xiaozhe Hu; Jan Martin Nordbotten (CoRR, 2020)

An accelerated staggered scheme for phase-field modeling of brittle fracture. - Erlend Storvik; Jakub Wiktor Both; Juan Michael Sargado; Jan Martin Nordbotten; Florin Adrian Radu (CoRR, 2020)

Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. - Elyes Ahmed; Jan Martin Nordbotten; Florin Adrian Radu (J. Comput. Appl. Math., 2020)

A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids. - Ilona Ambartsumyan; Eldar Khattatov; Jan M. Nordbotten; Ivan Yotov (SIAM J. Numer. Anal., 2020)

Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. - Kundan Kumar 001; Svetlana Kyas; Jan Martin Nordbotten; Sergey I. Repin (Comput. Math. Appl., 2021)

Modelling and discretization of flow in porous media with thin, full-tensor permeability inclusions. - Michele Starnoni; Inga Berre; Eirik Keilegavlen; Jan M. Nordbotten (CoRR, 2021)

Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. - Jakub Wiktor Both; Jan Martin Nordbotten; Florin Adrian Radu (CoRR, 2021)

Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap. - Erlend Hodneland; Xiaozhe Hu; Jan M. Nordbotten (SIAM J. Appl. Math., 2021)

Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. - Elyes Ahmed; Alessio Fumagalli; Ana Budisa; Eirik Keilegavlen; Jan M. Nordbotten; Florin A. Radu (SIAM J. Numer. Anal., 2021)

A Mixed Approach to the Poisson Problem with Line Sources. - Ingeborg G. Gjerde; Kundan Kumar 001; Jan M. Nordbotten (SIAM J. Numer. Anal., 2021)

A Cahn-Hilliard-Biot system and its generalized gradient flow structure. - Erlend Storvik; Jakub Wiktor Both; Jan Martin Nordbotten; Florin Adrian Radu (Appl. Math. Lett., 2022)

Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. - Xiaozhe Hu; Eirik Keilegavlen; Jan M. Nordbotten (CoRR, 2022)

Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates. - Mats Kirkesæther Brun; Elyes Ahmed; Jan M. Nordbotten; Nils Chr Stenseth (SIAM J. Appl. Math., 2022)

DarSIA: An open-source Python toolbox for two-scale image processing of dynamics in porous media. - Jan Martin Nordbotten; Benyamine Benali; Jakub Wiktor Both; Bergit Brattekås; Erlend Storvik; Martin A. Fernø (CoRR, 2023)

The FluidFlower International Benchmark Study: Process, Modeling Results, and Comparison to Experimental Data. - Bernd Flemisch; Jan M. Nordbotten; Martin A. Fernø; Ruben Juanes; Holger Class; Mojdeh Delshad; Florian Doster; Jonathan Ennis-King; Jacques Franc; Sebastian Geiger; Dennis Gläser; Christopher Green; et al. (CoRR, 2023)

A robust solution strategy for the Cahn-Larché equations. - Erlend Storvik; Jakub Wiktor Both; Jan Martin Nordbotten; Florin Adrian Radu (Comput. Math. Appl., 2023)

A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. - Jhabriel Varela; Elyes Ahmed; Eirik Keilegavlen; Jan M. Nordbotten; Florin A. Radu (J. Num. Math., 2023)

Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow. - Jan Martin Nordbotten; Eirik Keilegavlen (CoRR, 2024)

Network Inpainting via Optimal Transport. - Enrico Facca; Jan Martin Nordbotten; Erik Andreas Hanson (CoRR, 2024)

Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials. - Jan Martin Nordbotten; Wietse M. Boon; Omar Durán; Eirik Keilegavlen (CoRR, 2024)

A Finite Volume Method for Elastic Waves in Heterogeneous, Anisotropic and Fractured Media. - Ingrid Kristine Jacobsen; Inga Berre; Jan Martin Nordbotten; Ivar Stefansson (CoRR, 2024)

Mixed Finite Element Methods for Linear Cosserat Equations. - Wietse M. Boon; Omar Durán; Jan M. Nordbotten (SIAM J. Numer. Anal., 2025)

Benchmarking CO2 Storage Simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project. - Jan M. Nordbotten; Martin A. Fernø; Bernd Flemisch; Anthony R. Kovscek; Knut-Andreas Lie; Jakub Wiktor Both; Olav Møyner; Tor Harald Sandve; Etienne Ahusborde; Sebastian Bauer; Zhangxing Chen; Holger Class; et al. (CoRR, 2025)