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Nordbotten, Jan Martin

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Author ID: nordbotten.jan-martin Recent zbMATH articles by "Nordbotten, Jan Martin"
Published as: Nordbotten, Jan Martin; Nordbotten, Jan M.; Nordbotten, J. M.; Nordbotten, Jan
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all top 5

Co-Authors

6 single-authored
18 Radu, Florin Adrian
15 Keilegavlen, Eirik
12 Kumar, Kundan
9 Berre, Inga
8 Boon, Wietse M.
7 Both, Jakub Wiktor
6 Ahmed, Elyes
6 Pop, Iuliu Sorin
5 Celia, Michael A.
5 Kalisch, Henrik
4 Aavatsmark, Ivar
4 Brun, Mats Kirkesæther
3 Alyaev, Sergey
3 Eigestad, Geir Terje
3 Gjerde, Ingeborg G.
3 Mitrovic, Darko
3 Sargado, Juan Michael
3 Storvik, Erlend
2 Borregales, Manuel
2 Elenius, Maria T.
2 Fumagalli, Alessio
2 Gasda, Sarah E.
2 Hanson, Erik Andreas
2 Hodneland, Erlend
2 Repin, Sergeĭ Igorevich
2 Rodriguez-Iturbe, Ignacio
2 Sandve, Tor Harald
2 Sandvin, Andreas
2 Stenseth, Nils Chr.
2 Wohlmuth, Barbara I.
2 Yotov, Ivan
1 Ambartsumyan, Ilona
1 Audigane, Pascal
1 Balbarini, N.
1 Beni, Ali Naderi
1 Binning, P. J.
1 Bjørstad, Petter Erling
1 Borregales Reverón, Manuel Antonio
1 Bringedal, Carina
1 Budiša, Ana
1 Class, Holger
1 Dahle, Helge K.
1 Darcis, Melanie
1 Doster, Florian
1 Ebigbo, Anozie
1 Ennis-King, Jonathan
1 Fan, Yaqing
1 Flemisch, Bernd
1 Gerritsen, Margot G.
1 Helmig, Rainer
1 Hu, Xiaozhe
1 Jin, Min
1 Khattatov, Eldar
1 Krug, Stefanie
1 Kyas, Svetlana
1 Labregere, Diane
1 Levin, Simon Asher
1 Lie, Johan
1 Lorentzen, Rolf J.
1 Nævdal, Geir
1 Nilsen, Halvor Møll
1 Nissen, Anna
1 Pawar, Rajesh J.
1 Qohar, Ulin Nuha Abdul
1 Rahman, Talal
1 Raynaud, Xavier
1 Rees, D. Andrew S.
1 Sævareid, Ove
1 Sbai, Adil
1 Schaffer, Benjamin E.
1 Stephansen, Annette F.
1 Szathmáry, Eörs
1 Thomas, Sunil G.
1 Trenty, Laurent
1 Ucar, Eren
1 Valdman, Jan
1 Vatne, Jon Eivind
1 Wei, Lingli
1 Wick, Thomas
1 Zanna Munthe-Kaas, Antonella
1 Zanna, Antonella
all top 5

Serials

16 Computational Geosciences
6 SIAM Journal on Numerical Analysis
4 Computer Methods in Applied Mechanics and Engineering
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 Applied Mathematics Letters
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Applied Mathematics
2 Multiscale Modeling & Simulation
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of the Mechanics and Physics of Solids
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 International Journal for Numerical Methods in Engineering
1 Numerische Mathematik
1 Numerical Methods for Partial Differential Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Journal of Mathematical Imaging and Vision
1 Continuum Mechanics and Thermodynamics
1 Physics of Fluids
1 Computing and Visualization in Science
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Nonlinear Analysis. Real World Applications
1 Computational Methods in Applied Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Lecture Notes in Computational Science and Engineering
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 757 times in 491 Documents Cited by Year
Monotonicity of control volume methods. Zbl 1215.76090
Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T.
75
2007
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
62
2008
An efficient multi-point flux approximation method for discrete fracture-matrix simulations. Zbl 1402.76131
Sandve, T. H.; Berre, I.; Nordbotten, J. M.
46
2012
Robust discretization of flow in fractured porous media. Zbl 1402.65149
Boon, Wietse M.; Nordbotten, Jan M.; Yotov, Ivan
46
2018
Similarity solutions for fluid injection into confined aquifers. Zbl 1157.76317
Nordbotten, Jan M.; Celia, Michael A.
46
2006
Robust fixed stress splitting for Biot’s equations in heterogeneous media. Zbl 1383.74025
Both, Jakub Wiktor; Borregales, Manuel; Nordbotten, Jan Martin; Kumar, Kundan; Radu, Florin Adrian
42
2017
Stable cell-centered finite volume discretization for Biot equations. Zbl 1382.76187
Nordbotten, Jan Martin
30
2016
A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011
Class, Holger; Ebigbo, Anozie; Helmig, Rainer; Dahle, Helge K.; Nordbotten, Jan M.; Celia, Michael A.; Audigane, Pascal; Darcis, Melanie; Ennis-King, Jonathan; Fan, Yaqing; Flemisch, Bernd; Gasda, Sarah E.; Jin, Min; Krug, Stefanie; Labregere, Diane; Beni, Ali Naderi; Pawar, Rajesh J.; Sbai, Adil; Thomas, Sunil G.; Trenty, Laurent; Wei, Lingli
27
2009
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Zbl 1320.76084
Radu, Florin Adrian; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan
26
2015
Cell-centered finite volume discretizations for deformable porous media. Zbl 1352.76072
Nordbotten, Jan Martin
25
2014
A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities. Zbl 1477.76055
Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.; Pop, Iuliu S.
22
2018
Unified approach to discretization of flow in fractured porous media. Zbl 1414.76064
Nordbotten, J. M.; Boon, W. M.; Fumagalli, A.; Keilegavlen, E.
20
2019
On the relationship between the multiscale finite volume method and domain decomposition preconditioners. Zbl 1155.76042
Nordbotten, J. M.; Bjørstad, P. E.
20
2008
Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109
Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.
20
2018
Vertical equilibrium with sub-scale analytical methods for geological CO\(_{2}\) sequestration. Zbl 1190.86013
Gasda, S. E.; Nordbotten, J. M.; Celia, M. A.
18
2009
Discretization on quadrilateral grids with improved monotonicity properties. Zbl 1143.76540
Nordbotten, Jan Martin; Eigestad, Geir Terje
15
2005
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
15
2018
Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409
Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar
14
2009
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Zbl 1442.74208
Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian
13
2020
Splitting method for elliptic equations with line sources. Zbl 1433.35129
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara
13
2019
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Zbl 1442.65251
Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian
12
2019
Convergence of a cell-centered finite volume discretization for linear elasticity. Zbl 1330.74171
Nordbotten, Jan Martin
11
2015
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Zbl 07143623
Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian
10
2020
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. Zbl 1440.74117
Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin
9
2019
A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
8
2020
A finite-volume discretization for deformation of fractured media. Zbl 1396.74099
Ucar, Eren; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
8
2018
Adaptive variational multiscale methods for multiphase flow in porous media. Zbl 1172.76041
Nordbotten, Jan M.
8
2009
Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Zbl 1426.76211
Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin
7
2014
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Zbl 1451.74204
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2020
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Zbl 1457.74055
Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2019
Functional analysis and exterior calculus on mixed-dimensional geometries. Zbl 1462.58001
Boon, Wietse M.; Nordbotten, Jan M.; Vatne, Jon E.
6
2021
An accelerated staggered scheme for variational phase-field models of brittle fracture. Zbl 07414349
Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2021
Non-standard shocks in the Buckley-Leverett equation. Zbl 1331.35231
Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan M.
5
2015
A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan
5
2020
Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Zbl 1388.76358
Doster, Florian; Nordbotten, Jan M.; Celia, Michael A.
4
2012
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Zbl 1286.65179
Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan M.
4
2013
Modeling, structure and discretization of hierarchical mixed-dimensional partial differential equations. Zbl 1442.65390
Nordbotten, J. M.; Boon, W. M.
4
2018
Inexact linear solvers for control volume discretizations in porous media. Zbl 1327.76138
Keilegavlen, Eirik; Nordbotten, Jan M.
4
2015
Effects of a capillary transition zone on the stability of a diffusive boundary layer. Zbl 1282.86020
Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik
4
2012
Dynamics of the interface between immiscible liquids of different densities with low Froude number. Zbl 1302.76051
Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik
3
2014
Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Zbl 1405.76056
Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin
3
2018
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162
Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar
3
2011
Inverse scale spaces for nonlinear regularization. Zbl 1478.94059
Lie, Johan; Nordbotten, Jan M.
3
2007
A combined finite element-finite volume framework for phase-field fracture. Zbl 07337758
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
3
2021
Tensor relative permeabilities: origin, modeling and numerical discretization. Zbl 1277.76105
Keilegavlen, Eirik; Nordbotten, Jan M.; Stephansen, Annette F.
2
2012
A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100
Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J.
2
2010
Convective mixing influenced by the capillary transition zone. Zbl 1378.86015
Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik
2
2014
Iterative solvers for Biot model under small and large deformations. Zbl 1460.65117
Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian
2
2021
Plant biomass and soil moisture dynamics: analytical results. Zbl 1371.92138
Schaffer, Benjamin E.; Nordbotten, Jan M.; Rodriguez-Iturbe, Ignacio
1
2015
Linear and nonlinear convection in porous media between coaxial cylinders. Zbl 1308.76261
Bringedal, Carina; Berre, Inga; Nordbotten, Jan M.; Rees, D. Andrew S.
1
2011
Variational and heterogeneous multiscale methods. Zbl 1216.65078
Nordbotten, Jan Martin
1
2010
Rayleigh-Taylor instability of immiscible fluids in porous media. Zbl 1365.76307
Kalisch, H.; Mitrovic, D.; Nordbotten, J. M.
1
2016
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. Zbl 1454.65073
Both, Jakub W.; Nordbotten, Jan M.; Radu, Florin A.
1
2020
Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Zbl 1411.65009
1
2018
Iterative linearisation schemes for doubly degenerate parabolic equations. Zbl 1427.65237
Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian
1
2018
Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Zbl 1405.65144
Nilsen, Halvor M.; Nordbotten, Jan; Raynaud, Xavier
1
2018
Multiscale methods for multiphase flow in porous media. Zbl 1284.76315
Nordbotten, Jan M.
1
2009
The fixed-stress splitting scheme for Biot’s equations as a modified Richardson iteration: implications for optimal convergence. Zbl 07400958
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian
1
2021
An introduction to multi-point flux (MPFA) and stress (MPSA) finite volume methods for thermo-poroelasticity. Zbl 1470.74066
Nordbotten, Jan Martin; Keilegavlen, Eirik
1
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
Functional analysis and exterior calculus on mixed-dimensional geometries. Zbl 1462.58001
Boon, Wietse M.; Nordbotten, Jan M.; Vatne, Jon E.
6
2021
An accelerated staggered scheme for variational phase-field models of brittle fracture. Zbl 07414349
Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2021
A combined finite element-finite volume framework for phase-field fracture. Zbl 07337758
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
3
2021
Iterative solvers for Biot model under small and large deformations. Zbl 1460.65117
Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian
2
2021
The fixed-stress splitting scheme for Biot’s equations as a modified Richardson iteration: implications for optimal convergence. Zbl 07400958
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian
1
2021
An introduction to multi-point flux (MPFA) and stress (MPSA) finite volume methods for thermo-poroelasticity. Zbl 1470.74066
Nordbotten, Jan Martin; Keilegavlen, Eirik
1
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Zbl 1442.74208
Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian
13
2020
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Zbl 07143623
Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian
10
2020
A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
8
2020
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Zbl 1451.74204
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2020
A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan
5
2020
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. Zbl 1454.65073
Both, Jakub W.; Nordbotten, Jan M.; Radu, Florin A.
1
2020
Unified approach to discretization of flow in fractured porous media. Zbl 1414.76064
Nordbotten, J. M.; Boon, W. M.; Fumagalli, A.; Keilegavlen, E.
20
2019
Splitting method for elliptic equations with line sources. Zbl 1433.35129
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara
13
2019
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Zbl 1442.65251
Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian
12
2019
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. Zbl 1440.74117
Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin
9
2019
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Zbl 1457.74055
Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian
6
2019
Robust discretization of flow in fractured porous media. Zbl 1402.65149
Boon, Wietse M.; Nordbotten, Jan M.; Yotov, Ivan
46
2018
A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities. Zbl 1477.76055
Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.; Pop, Iuliu S.
22
2018
Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109
Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.
20
2018
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
15
2018
A finite-volume discretization for deformation of fractured media. Zbl 1396.74099
Ucar, Eren; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
8
2018
Modeling, structure and discretization of hierarchical mixed-dimensional partial differential equations. Zbl 1442.65390
Nordbotten, J. M.; Boon, W. M.
4
2018
Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Zbl 1405.76056
Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin
3
2018
Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Zbl 1411.65009
1
2018
Iterative linearisation schemes for doubly degenerate parabolic equations. Zbl 1427.65237
Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian
1
2018
Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. Zbl 1405.65144
Nilsen, Halvor M.; Nordbotten, Jan; Raynaud, Xavier
1
2018
Robust fixed stress splitting for Biot’s equations in heterogeneous media. Zbl 1383.74025
Both, Jakub Wiktor; Borregales, Manuel; Nordbotten, Jan Martin; Kumar, Kundan; Radu, Florin Adrian
42
2017
Stable cell-centered finite volume discretization for Biot equations. Zbl 1382.76187
Nordbotten, Jan Martin
30
2016
Rayleigh-Taylor instability of immiscible fluids in porous media. Zbl 1365.76307
Kalisch, H.; Mitrovic, D.; Nordbotten, J. M.
1
2016
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Zbl 1320.76084
Radu, Florin Adrian; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan
26
2015
Convergence of a cell-centered finite volume discretization for linear elasticity. Zbl 1330.74171
Nordbotten, Jan Martin
11
2015
Non-standard shocks in the Buckley-Leverett equation. Zbl 1331.35231
Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan M.
5
2015
Inexact linear solvers for control volume discretizations in porous media. Zbl 1327.76138
Keilegavlen, Eirik; Nordbotten, Jan M.
4
2015
Plant biomass and soil moisture dynamics: analytical results. Zbl 1371.92138
Schaffer, Benjamin E.; Nordbotten, Jan M.; Rodriguez-Iturbe, Ignacio
1
2015
Cell-centered finite volume discretizations for deformable porous media. Zbl 1352.76072
Nordbotten, Jan Martin
25
2014
Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Zbl 1426.76211
Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin
7
2014
Dynamics of the interface between immiscible liquids of different densities with low Froude number. Zbl 1302.76051
Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik
3
2014
Convective mixing influenced by the capillary transition zone. Zbl 1378.86015
Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik
2
2014
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Zbl 1286.65179
Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan M.
4
2013
An efficient multi-point flux approximation method for discrete fracture-matrix simulations. Zbl 1402.76131
Sandve, T. H.; Berre, I.; Nordbotten, J. M.
46
2012
Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Zbl 1388.76358
Doster, Florian; Nordbotten, Jan M.; Celia, Michael A.
4
2012
Effects of a capillary transition zone on the stability of a diffusive boundary layer. Zbl 1282.86020
Elenius, Maria T.; Nordbotten, Jan M.; Kalisch, Henrik
4
2012
Tensor relative permeabilities: origin, modeling and numerical discretization. Zbl 1277.76105
Keilegavlen, Eirik; Nordbotten, Jan M.; Stephansen, Annette F.
2
2012
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162
Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar
3
2011
Linear and nonlinear convection in porous media between coaxial cylinders. Zbl 1308.76261
Bringedal, Carina; Berre, Inga; Nordbotten, Jan M.; Rees, D. Andrew S.
1
2011
A posteriori error estimates for approximate solutions of the Barenblatt-Biot poroelastic model. Zbl 1283.65100
Nordbotten, J. M.; Rahman, T.; Repin, S. I.; Valdman, J.
2
2010
Variational and heterogeneous multiscale methods. Zbl 1216.65078
Nordbotten, Jan Martin
1
2010
A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results. Zbl 1190.86011
Class, Holger; Ebigbo, Anozie; Helmig, Rainer; Dahle, Helge K.; Nordbotten, Jan M.; Celia, Michael A.; Audigane, Pascal; Darcis, Melanie; Ennis-King, Jonathan; Fan, Yaqing; Flemisch, Bernd; Gasda, Sarah E.; Jin, Min; Krug, Stefanie; Labregere, Diane; Beni, Ali Naderi; Pawar, Rajesh J.; Sbai, Adil; Thomas, Sunil G.; Trenty, Laurent; Wei, Lingli
27
2009
Vertical equilibrium with sub-scale analytical methods for geological CO\(_{2}\) sequestration. Zbl 1190.86013
Gasda, S. E.; Nordbotten, J. M.; Celia, M. A.
18
2009
Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409
Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar
14
2009
Adaptive variational multiscale methods for multiphase flow in porous media. Zbl 1172.76041
Nordbotten, Jan M.
8
2009
Multiscale methods for multiphase flow in porous media. Zbl 1284.76315
Nordbotten, Jan M.
1
2009
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
62
2008
On the relationship between the multiscale finite volume method and domain decomposition preconditioners. Zbl 1155.76042
Nordbotten, J. M.; Bjørstad, P. E.
20
2008
Monotonicity of control volume methods. Zbl 1215.76090
Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T.
75
2007
Inverse scale spaces for nonlinear regularization. Zbl 1478.94059
Lie, Johan; Nordbotten, Jan M.
3
2007
Similarity solutions for fluid injection into confined aquifers. Zbl 1157.76317
Nordbotten, Jan M.; Celia, Michael A.
46
2006
Discretization on quadrilateral grids with improved monotonicity properties. Zbl 1143.76540
Nordbotten, Jan Martin; Eigestad, Geir Terje
15
2005
all top 5

Cited by 783 Authors

42 Nordbotten, Jan Martin
22 Radu, Florin Adrian
18 Yuan, Guangwei
15 Edwards, Michael G.
15 Keilegavlen, Eirik
15 Kumar, Kundan
15 Wheeler, Mary Fanett
13 Helmig, Rainer
13 Masson, Roland
13 Sheng, Zhiqiang
12 Pop, Iuliu Sorin
11 Boon, Wietse M.
11 Droniou, Jérôme
11 Wu, Jiming
11 Yotov, Ivan
10 Castelletto, Nicola
10 Fumagalli, Alessio
10 Neufeld, Jerome A.
10 Pal, Mayur
9 Brenner, Konstantin
9 Flemisch, Bernd
9 Scialò, Stefano
9 Tchelepi, Hamdi A.
8 Aavatsmark, Ivar
8 Berre, Inga
8 Di Pietro, Daniele Antonio
8 Huppert, Herbert E.
8 Nilsen, Halvor Møll
8 Schneider, Martin
8 Terekhov, Kirill M.
7 Ahmed, Elyes
7 Both, Jakub Wiktor
7 Gao, Zhiming
7 Hajibeygi, Hadi
7 Lie, Knut-Andreas
7 Wick, Thomas
7 Woods, Andrew W.
6 Berrone, Stefano
6 Celia, Michael A.
6 Gaspar, Francisco José
6 Hu, Xiaozhe
6 Rodrigo, Carmen
6 Scotti, Anna
5 Borio, Andrea
5 Ferronato, Massimiliano
5 Gläser, Dennis
5 Khattatov, Eldar
5 Lamine, Sadok
5 Lee, Sanghyun
5 Vassilevski, Yuri V.
4 Abdulle, Assyr
4 Almani, Tameem
4 Ambartsumyan, Ilona
4 Andersen, Odd A.
4 Budáč, Ondrej
4 Class, Holger
4 Gerritsen, Margot G.
4 Hennicker, Julian
4 Jenny, Patrick
4 Juanes, Ruben
4 Kalisch, Henrik
4 Koch, Timo
4 Kraus, Johannes K.
4 Li, Yonghai
4 Lipnikov, Konstantin N.
4 Macminn, Christopher W.
4 Mardal, Kent-Andre
4 Mitrovic, Darko
4 Møyner, Olav
4 Nikitin, Kirill D.
4 Pegler, Samuel S.
4 Ruiz-Baier, Ricardo
4 Su, Shuai
4 Svyatskiy, Daniil
4 Trenty, Laurent
4 White, Joshua A.
4 Wohlmuth, Barbara I.
4 Xie, Hui
4 Xu, Xuejun
4 Zheng, Hongwen
4 Zunino, Paolo
3 Adler, James H.
3 Ahmed, Raheel
3 Bonaldi, Francesco
3 Brun, Mats Kirkesæther
3 Budiša, Ana
3 Cancès, Clément
3 Chung, Tsz Shun Eric
3 Contreras, Fernando R. L.
3 Dong, Qiannan
3 Durlofsky, Louis J.
3 Eigestad, Geir Terje
3 Farcas, Adrian
3 Formaggia, Luca
3 Frigo, Matteo
3 Gasda, Sarah E.
3 Gjerde, Ingeborg G.
3 Hong, Qingguo
3 Huisman, Bastiaan A. H.
3 Knabner, Peter
...and 683 more Authors
all top 5

Cited in 72 Serials

85 Computational Geosciences
77 Journal of Computational Physics
48 Computer Methods in Applied Mechanics and Engineering
36 Journal of Fluid Mechanics
22 Computers & Mathematics with Applications
15 Journal of Computational and Applied Mathematics
13 SIAM Journal on Scientific Computing
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 SIAM Journal on Numerical Analysis
10 GEM - International Journal on Geomathematics
9 International Journal for Numerical Methods in Fluids
9 Journal of Scientific Computing
8 Numerische Mathematik
6 Computers and Fluids
6 Communications in Computational Physics
5 Applied Mathematical Modelling
5 Multiscale Modeling & Simulation
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Mathematical Analysis and Applications
3 Mathematics of Computation
3 Applied Mathematics and Computation
3 BIT
3 International Journal for Numerical Methods in Engineering
3 Mathematics and Computers in Simulation
3 Applied Numerical Mathematics
3 Computational Mechanics
3 Numerical Methods for Partial Differential Equations
3 Advances in Applied Mathematics and Mechanics
2 Applicable Analysis
2 Mathematical Methods in the Applied Sciences
2 Physica D
2 Applied Mathematics Letters
2 SIAM Journal on Applied Mathematics
2 Computational and Applied Mathematics
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Advances in Computational Mathematics
2 Computing and Visualization in Science
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Fluid Dynamics
1 Journal of Engineering Mathematics
1 Moscow University Mathematics Bulletin
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Calcolo
1 Computing
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 SIAM Journal on Mathematical Analysis
1 Continuum Mechanics and Thermodynamics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Computational Methods in Applied Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Oberwolfach Reports
1 Complex Variables and Elliptic Equations
1 Mathematical Geosciences
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Journal of Mathematics in Industry
1 International Journal of Applied and Computational Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 AIMS Mathematics
1 SMAI Journal of Computational Mathematics
1 International Journal on Finite Volumes
1 Fixed Point Theory and Algorithms for Sciences and Engineering

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