Jan M. Nordbotten

According to our database, Jan M. Nordbotten authored at least 46 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Mixed finite element methods for linear Cosserat equations.

Wietse Marijn Boon, Omar Durán, Jan Martin Nordbotten

CoRR, 2024

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., December, 2023

A robust solution strategy for the Cahn-Larché equations.

Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu

Comput. Math. Appl., April, 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, James Gunning, Hadi Hajibeygi, Samuel J. Jackson, Mohamad Jammoul, Satish Karra, Jiawei Li, Stephan K. Matthäi, Terry Miller, Qi Shao, Catherine Spurin, Philip Stauffer, Hamdi A. Tchelepi, Xiaoming Tian, Hari S. Viswanathan, Denis V. Voskov, Yuhang Wang, Michiel Wapperom, Mary F. Wheeler, Andrew Wilkins, AbdAllah A. Youssef, Ziliang Zhang

CoRR, 2023

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

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

Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems.

Xiaozhe Hu, Eirik Keilegavlen, Jan M. Nordbotten

CoRR, 2022

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

2021

A Mixed Approach to the Poisson Problem with Line Sources.

Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten

SIAM J. Numer. Anal., 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

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

Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media.

Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu

CoRR, 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

Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem.

Kundan Kumar, Svetlana Kyas, Jan Martin Nordbotten, Sergey I. Repin

Comput. Math. Appl., 2021

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

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

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

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 Introduction to Multi-Point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity.

Jan Martin Nordbotten, Eirik Keilegavlen

CoRR, 2020

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

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

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

The gradient flow structures of thermo-poro-visco-elastic processes in porous media.

Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu

CoRR, 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

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media.

Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu

Comput. Math. Appl., 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

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 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

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

An Adaptive Penalty Method for Inequality Constrained Minimization Problems.

Wietse M. Boon, Jan M. Nordbotten

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018

Robust Discretization of Flow in Fractured Porous Media.

Wietse M. Boon, Jan M. Nordbotten, Ivan Yotov

SIAM J. Numer. Anal., 2018

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 fixed stress splitting for Biot's equations in heterogeneous media.

Jakub Wiktor Both, Manuel Borregales, Jan Martin Nordbotten, Kundan Kumar, Florin Adrian Radu

Appl. Math. Lett., 2017

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

Stable Cell-Centered Finite Volume Discretization for Biot Equations.

Jan Martin Nordbotten

SIAM J. Numer. Anal., 2016

2015

Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity.

Jan Martin Nordbotten

SIAM J. Numer. Anal., 2015

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

J. Comput. Appl. Math., 2015

2014

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

2013

Instant convolution shadows for volumetric detail mapping.

Daniel Patel, Veronika Soltészová, Jan Martin Nordbotten, Stefan Bruckner

ACM Trans. Graph., 2013

Domain decomposition strategies for nonlinear flow problems in porous media.

Jan Ole Skogestad, Eirik Keilegavlen, Jan M. Nordbotten

J. Comput. Phys., 2013

Auxiliary variables for 3D multiscale simulations in heterogeneous porous media.

Andreas Sandvin, Eirik Keilegavlen, Jan M. Nordbotten

J. Comput. Phys., 2013

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

Hysteretic upscaled constitutive relationships for vertically integrated porous media flow.

Florian Doster, Jan M. Nordbotten, Michael A. Celia

Comput. Vis. Sci., 2012

2010

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

2009

Sufficient criteria are necessary for monotone control volume methods.

Eirik Keilegavlen, Jan M. Nordbotten, Ivar Aavatsmark

Appl. Math. Lett., 2009

2008

Adaptive Variational Multiscale Methods for Multiphase Flow in Porous Media.

Jan M. Nordbotten

Multiscale Model. Simul., 2008

2007

Monotonicity of control volume methods.

Jan M. Nordbotten, Ivar Aavatsmark, G. T. Eigestad

Numerische Mathematik, 2007

Inverse Scale Spaces for Nonlinear Regularization.

Johan Lie, Jan M. Nordbotten

J. Math. Imaging Vis., 2007