Jan Martin Nordbotten

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 23

Top Topics

Nonlinear Equations

Top Venues

Comput. Math. Appl.

Appl. Math. Lett.

Publications

Wietse Marijn Boon, Omar Durán, Jan Martin Nordbotten
Mixed finite element methods for linear Cosserat equations. CoRR (2024)
Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson
Network Inpainting via Optimal Transport. CoRR (2024)
Jan Martin Nordbotten, Eirik Keilegavlen
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow. CoRR (2024)
Jan Martin Nordbotten, Benyamine Benali, Jakub Wiktor Both, Bergit Brattekås, Erlend Storvik, Martin A. Fernø
DarSIA: An open-source Python toolbox for two-scale image processing of dynamics in porous media. CoRR (2023)
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
A robust solution strategy for the Cahn-Larché equations. Comput. Math. Appl. 136 (2023)
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
A Cahn-Hilliard-Biot system and its generalized gradient flow structure. Appl. Math. Lett. 126 (2022)
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
A robust solution strategy for the Cahn-Larché equations. CoRR (2022)
Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen, Jan Martin Nordbotten, Florin Adrian Radu
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. CoRR (2021)
Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. CoRR (2021)
Kundan Kumar, Svetlana Kyas, Jan Martin Nordbotten, Sergey I. Repin
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Comput. Math. Appl. 91 (2021)
Erlend Hodneland, Xiaozhe Hu, Jan Martin Nordbotten
Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap. CoRR (2020)
Elyes Ahmed, Jan Martin Nordbotten, Florin Adrian Radu
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. J. Comput. Appl. Math. 364 (2020)
Erlend Storvik, Jakub Wiktor Both, Juan Michael Sargado, Jan Martin Nordbotten, Florin Adrian Radu
An accelerated staggered scheme for phase-field modeling of brittle fracture. CoRR (2020)
Jan Martin Nordbotten, Eirik Keilegavlen
An Introduction to Multi-Point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity. CoRR (2020)
Mats Kirkesæther Brun, Elyes Ahmed, Inga Berre, Jan Martin Nordbotten, Florin Adrian Radu
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Comput. Math. Appl. 80 (8) (2020)
Ulin Nuha Abdul Qohar, Antonella Zanna Munthe-Kaas, Jan Martin Nordbotten, Erik Andreas Hanson
A Multi-Scale Flow Model for Studying Blood Circulation in Vascular System. ENUMATH (2019)
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
The fixed-stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence. CoRR (2019)
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
The Fixed-Stress Splitting Scheme for Biot's Equations as a Modified Richardson Iteration: Implications for Optimal Convergence. ENUMATH (2019)
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Comput. Math. Appl. 77 (6) (2019)
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu
The gradient flow structures of thermo-poro-visco-elastic processes in porous media. CoRR (2019)
Anna Nissen, Eirik Keilegavlen, Tor Harald Sandve, Inga Berre, Jan Martin Nordbotten
Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs. CoRR (2017)
Jakub Wiktor Both, Manuel Borregales, Jan Martin Nordbotten, Kundan Kumar, Florin Adrian Radu
Robust fixed stress splitting for Biot's equations in heterogeneous media. Appl. Math. Lett. 68 (2017)
Jan Martin Nordbotten
Stable Cell-Centered Finite Volume Discretization for Biot Equations. SIAM J. Numer. Anal. 54 (2) (2016)
Jan Martin Nordbotten
Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. SIAM J. Numer. Anal. 53 (6) (2015)
Florin Adrian Radu, Jan Martin Nordbotten, Iuliu Sorin Pop, Kundan Kumar
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. J. Comput. Appl. Math. 289 (2015)
Sergey Alyaev, Eirik Keilegavlen, Jan Martin Nordbotten
Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media. Multiscale Model. Simul. 12 (1) (2014)
Daniel Patel, Veronika Soltészová, Jan Martin Nordbotten, Stefan Bruckner
Instant convolution shadows for volumetric detail mapping. ACM Trans. Graph. 32 (5) (2013)