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ORCIDJan M. Nordbotten
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- affiliation: University of Bergen, Norway
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2020 – today
- 2024
[i18]Wietse Marijn Boon, Omar Durán, Jan Martin Nordbotten:
Mixed finite element methods for linear Cosserat equations. CoRR abs/2403.15136 (2024)- [i17]Jan Martin Nordbotten, Eirik Keilegavlen:
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow. CoRR abs/2405.10390 (2024) - [i16]Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson:
Network Inpainting via Optimal Transport. CoRR abs/2405.13520 (2024) - [i15]Jan Martin Nordbotten, Wietse M. Boon, Omar Durán, Eirik Keilegavlen:
Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials. CoRR abs/2409.13273 (2024) - 2023
- [j31]Erlend Storvik
, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu:
A robust solution strategy for the Cahn-Larché equations. Comput. Math. Appl. 136: 112-126 (2023) - [j30]Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen, Jan M. Nordbotten, Florin A. Radu:
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. J. Num. Math. 31(4): 247-280 (2023) - [i14]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 abs/2301.05455 (2023) - [i13]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:
The FluidFlower International Benchmark Study: Process, Modeling Results, and Comparison to Experimental Data. CoRR abs/2302.10986 (2023) - 2022
- [j29]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: 107799 (2022) - [j28]Mats Kirkesæther Brun, Elyes Ahmed, Jan M. Nordbotten, Nils Chr Stenseth:
Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates. SIAM J. Appl. Math. 82(2): 450-475 (2022) - [i12]Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu:
A robust solution strategy for the Cahn-Larché equations. CoRR abs/2206.01541 (2022) - [i11]Xiaozhe Hu, Eirik Keilegavlen, Jan M. Nordbotten:
Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. CoRR abs/2206.03203 (2022) - 2021
- [j27]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: 122-149 (2021) - [j26]Erlend Hodneland, Xiaozhe Hu, Jan M. Nordbotten:
Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap. SIAM J. Appl. Math. 81(5): 2218-2245 (2021) - [j25]Elyes Ahmed, Alessio Fumagalli, Ana Budisa, Eirik Keilegavlen, Jan M. Nordbotten, Florin A. Radu:
Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. SIAM J. Numer. Anal. 59(1): 583-612 (2021) - [j24]Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten:
A Mixed Approach to the Poisson Problem with Line Sources. SIAM J. Numer. Anal. 59(2): 1117-1139 (2021) - [i10]Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen, Jan Martin Nordbotten, Florin Adrian Radu:
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. CoRR abs/2101.08331 (2021) - [i9]Michele Starnoni, Inga Berre, Eirik Keilegavlen, Jan M. Nordbotten:
Modelling and discretization of flow in porous media with thin, full-tensor permeability inclusions. CoRR abs/2101.08522 (2021) - [i8]Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu:
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. CoRR abs/2105.10150 (2021) - 2020
- [j23]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): 1964-1984 (2020) - [j22]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) - [j21]Ilona Ambartsumyan, Eldar Khattatov, Jan M. Nordbotten, Ivan Yotov:
A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids. SIAM J. Numer. Anal. 58(1): 630-656 (2020) - [i7]Jan Martin Nordbotten, Eirik Keilegavlen:
An Introduction to Multi-Point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity. CoRR abs/2001.01990 (2020) - [i6]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 abs/2006.12273 (2020) - [i5]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 abs/2008.11787 (2020)
2010 – 2019
- 2019
- [j20]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): 1479-1502 (2019) - [j19]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:
A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. PLoS Comput. Biol. 15(6) (2019) - [j18]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:
In Vivo Detection of Chronic Kidney Disease Using Tissue Deformation Fields From Dynamic MR Imaging. IEEE Trans. Biomed. Eng. 66(6): 1779-1790 (2019) - [c3]Wietse M. Boon, Jan M. Nordbotten:
An Adaptive Penalty Method for Inequality Constrained Minimization Problems. ENUMATH 2019: 155-164 - [c2]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: 743-751 - [c1]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: 909-917 - [i4]Elyes Ahmed, Alessio Fumagalli, Ana Budisa, Eirik Keilegavlen, Jan M. Nordbotten, Florin A. Radu:
Robust linear domain decomposition schemes for reduced non-linear fracture flow models. CoRR abs/1906.05831 (2019) - [i3]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 abs/1907.03134 (2019) - [i2]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 abs/1911.11557 (2019) - 2018
- [j17]Wietse M. Boon, Jan M. Nordbotten, Ivan Yotov:
Robust Discretization of Flow in Fractured Porous Media. SIAM J. Numer. Anal. 56(4): 2203-2233 (2018) - 2017
- [j16]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: 101-108 (2017) - [i1]Anna Nissen, Eirik Keilegavlen, Tor Harald Sandve, Inga Berre, Jan Martin Nordbotten:
Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs. CoRR abs/1702.06074 (2017) - 2016
- [j15]Jan Martin Nordbotten:
Stable Cell-Centered Finite Volume Discretization for Biot Equations. SIAM J. Numer. Anal. 54(2): 942-968 (2016) - [j14]Erlend Hodneland, Erik A. Hanson, Antonella Munthe-Kaas, Arvid Lundervold, Jan M. Nordbotten:
Physical Models for Simulation and Reconstruction of Human Tissue Deformation Fields in Dynamic MRI. IEEE Trans. Biomed. Eng. 63(10): 2200-2210 (2016) - 2015
- [j13]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: 134-141 (2015) - [j12]Jan Martin Nordbotten:
Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. SIAM J. Numer. Anal. 53(6): 2605-2625 (2015) - 2014
- [j11]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): 335-363 (2014) - 2013
- [j10]Jan Ole Skogestad, Eirik Keilegavlen, Jan M. Nordbotten:
Domain decomposition strategies for nonlinear flow problems in porous media. J. Comput. Phys. 234: 439-451 (2013) - [j9]Andreas Sandvin, Eirik Keilegavlen, Jan M. Nordbotten:
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. J. Comput. Phys. 238: 141-153 (2013) - [j8]Daniel Patel, Veronika Soltészová, Jan Martin Nordbotten, Stefan Bruckner:
Instant convolution shadows for volumetric detail mapping. ACM Trans. Graph. 32(5): 154:1-154:18 (2013) - 2012
- [j7]Florian Doster, Jan M. Nordbotten, Michael A. Celia:
Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Comput. Vis. Sci. 15(4): 147-161 (2012) - [j6]Tor Harald Sandve, Inga Berre, Jan M. Nordbotten:
An efficient multi-point flux approximation method for Discrete Fracture-Matrix simulations. J. Comput. Phys. 231(9): 3784-3800 (2012) - 2010
- [j5]Jan M. Nordbotten, Talal Rahman, Sergey I. Repin, Jan Valdman:
A Posteriori Error Estimates for Approximate Solutions of the Barenblatt-Biot Poroelastic Model. Comput. Methods Appl. Math. 10(3): 302-314 (2010)
2000 – 2009
- 2009
- [j4]Eirik Keilegavlen, Jan M. Nordbotten, Ivar Aavatsmark:
Sufficient criteria are necessary for monotone control volume methods. Appl. Math. Lett. 22(8): 1178-1180 (2009) - 2008
- [j3]Jan M. Nordbotten:
Adaptive Variational Multiscale Methods for Multiphase Flow in Porous Media. Multiscale Model. Simul. 7(3): 1455-1473 (2008) - 2007
- [j2]Johan Lie, Jan M. Nordbotten:
Inverse Scale Spaces for Nonlinear Regularization. J. Math. Imaging Vis. 27(1): 41-50 (2007) - [j1]Jan M. Nordbotten, Ivar Aavatsmark, G. T. Eigestad:
Monotonicity of control volume methods. Numerische Mathematik 106(2): 255-288 (2007)
Coauthor Index
aka: Florin Adrian Radu
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last updated on 2024-10-18 20:27 CEST by the dblp team
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