×
Compute Distance To:
Author ID: kumar.kundan Recent zbMATH articles by "Kumar, Kundan"
Published as: Kumar, Kundan; Kumar, K.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 343 times in 196 Documents Cited by Year
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
45
2017
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
37
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
27
2015
Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109
Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.
25
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
Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. Zbl 1439.74183
Almani, T.; Kumar, K.; Dogru, A.; Singh, G.; Wheeler, M. F.
21
2016
Effective dispersion equations for reactive flows involving free boundaries at the microscale. Zbl 1222.35020
Kumar, K.; Van Noorden, T. L.; Pop, I. S.
15
2011
Rigorous upscaling of unsaturated flow in fractured porous media. Zbl 1435.35304
List, Florian; Kumar, Kundan; Pop, Iuliu Sorin; Radu, Florin Adrian
15
2020
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
13
2019
Splitting method for elliptic equations with line sources. Zbl 1433.35129
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara
13
2019
Convergence analysis of mixed numerical schemes for reactive flow in a porous medium. Zbl 1311.76063
Kumar, K.; Pop, I. S.; Radu, F. A.
13
2013
A global Jacobian method for mortar discretizations of a fully implicit two-phase flow model. Zbl 1312.76027
Ganis, Benjamin; Kumar, Kundan; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
10
2014
A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
9
2020
A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Zbl 1442.65250
Borregales, Manuel; Kumar, Kundan; Radu, Florin Adrian; Rodrigo, Carmen; Gaspar, Francisco José
8
2019
Multirate undrained splitting for coupled flow and geomechanics in porous media. Zbl 1387.76100
Kumar, Kundan; Almani, Tameem; Singh, Gurpreet; Wheeler, Mary F.
8
2016
Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media. Zbl 1342.76121
Kumar, K.; Pop, I. S.; Radu, F. A.
7
2014
Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics. Zbl 1396.76047
Almani, T.; Kumar, Kundan; Wheeler, M. F.
7
2017
Upscaling of reactive flows in domains with moving oscillating boundaries. Zbl 1273.76343
Kumar, Kundan; Van Noorden, Tycho; Pop, Iuliu Sorin
7
2014
Analysis and upscaling of a reactive transport model in fractured porous media with nonlinear transmission condition. Zbl 1372.35163
Pop, Iuliu Sorin; Bogers, Jeroen; Kumar, Kundan
7
2017
Homogenization of a pore scale model for precipitation and dissolution in porous media. Zbl 1404.35026
Kumar, K.; Neuss-Radu, M.; Pop, I. S.
5
2016
Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps. Zbl 1284.41016
Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
5
2013
On \(I\) and \(I^*\)-Cauchy sequences in probabilistic normed spaces. Zbl 1206.54029
Kumar, V.; Kumar, K.
4
2008
A note on a discrete version of Borg’s theorem via Toeplitz-Laurent operators with matrix-valued symbols. Zbl 1277.47041
Golinskii, L.; Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
4
2013
Perturbation of operators and approximation of spectrum. Zbl 1417.47003
Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
4
2013
Reactive flow and reaction-induced boundary movement in a thin channel. Zbl 1292.76042
Kumar, Kundan; Wheeler, Mary F.; Wick, Thomas
4
2013
Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. Zbl 1416.35263
Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet
3
2019
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
3
2021
Investigation of two-dimensional channel flow with a partially compliant wall using finite volume-finite difference approach. Zbl 1075.76045
Zhang, Xing; Ajaykumar, R.; Sudharsan, N. M.; Kumar, K.
2
2005
Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media. Zbl 1434.76120
Almani, T.; Manea, A.; Kumar, K.; Dogru, A. H.
2
2020
Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. Zbl 1443.65190
Almani, Tameem; Kumar, Kundan; Singh, Gurpreet; Wheeler, M. F.
2
2019
A multiscale domain decomposition approach for chemical vapor deposition. Zbl 1268.80007
Bogers, J.; Kumar, K.; Notten, P. H. L.; Oudenhoven, J. F. M.; Pop, I. S.
2
2013
Truncation method for random bounded self-adjoint operators. Zbl 06430446
Kumar, K.
2
2015
Numerical analysis for an upscaled model for dissolution and precipitation in porous media. Zbl 1311.76108
Kumar, K.; Pop, I. S.; Radu, F. A.
2
2013
Design of a differential power analysis resistant masked AES S-box. Zbl 1153.94404
Kumar, Kundan; Mukhopadhyay, Debdeep; RoyChowdhury, Dipanwita
1
2007
Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: an iterative coupling scheme and well-posedness. Zbl 1435.76022
De Hoop, Maarten V.; Kumar, Kundan; Ye, Ruichao
1
2020
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Zbl 07504689
Kumar, Kundan; List, Florian; Pop, Iuliu Sorin; Radu, Florin Adrian
1
2020
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Zbl 07351749
Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey
1
2021
On the convergence of flow and mechanics iterative coupling schemes in fractured heterogeneous poro-elastic media. Zbl 1470.76045
Almani, Tameem; Kumar, Kundan; Manea, Abdulrahman
1
2021
A multi-rate iterative coupling scheme for simulating dynamic ruptures and seismic waves generation in the prestressed earth. Zbl 1453.86030
Ye, Ruichao; Kumar, Kundan; de Hoop, Maarten V.; Campillo, Michel
1
2020
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
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
A note on analysis and numerics of algae growth. Zbl 1325.92059
Kumar, Kundan; Pisarenco, Maxim; Rudnaya, Maria; Savcenco, Valeriu
1
2014
Rigorous upscaling of rough boundaries for reactive flows. Zbl 1297.76191
Kumar, K.; van Helvoort, M.; Pop, I. S.
1
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
3
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Zbl 07351749
Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey
1
2021
On the convergence of flow and mechanics iterative coupling schemes in fractured heterogeneous poro-elastic media. Zbl 1470.76045
Almani, Tameem; Kumar, Kundan; Manea, Abdulrahman
1
2021
Rigorous upscaling of unsaturated flow in fractured porous media. Zbl 1435.35304
List, Florian; Kumar, Kundan; Pop, Iuliu Sorin; Radu, Florin Adrian
15
2020
A singularity removal method for coupled 1D-3D flow models. Zbl 1434.76067
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
9
2020
Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media. Zbl 1434.76120
Almani, T.; Manea, A.; Kumar, K.; Dogru, A. H.
2
2020
Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: an iterative coupling scheme and well-posedness. Zbl 1435.76022
De Hoop, Maarten V.; Kumar, Kundan; Ye, Ruichao
1
2020
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Zbl 07504689
Kumar, Kundan; List, Florian; Pop, Iuliu Sorin; Radu, Florin Adrian
1
2020
A multi-rate iterative coupling scheme for simulating dynamic ruptures and seismic waves generation in the prestressed earth. Zbl 1453.86030
Ye, Ruichao; Kumar, Kundan; de Hoop, Maarten V.; Campillo, Michel
1
2020
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
13
2019
Splitting method for elliptic equations with line sources. Zbl 1433.35129
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.; Wohlmuth, Barbara
13
2019
A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Zbl 1442.65250
Borregales, Manuel; Kumar, Kundan; Radu, Florin Adrian; Rodrigo, Carmen; Gaspar, Francisco José
8
2019
Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. Zbl 1416.35263
Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet
3
2019
Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. Zbl 1443.65190
Almani, Tameem; Kumar, Kundan; Singh, Gurpreet; Wheeler, M. F.
2
2019
Robust iterative schemes for non-linear poromechanics. Zbl 1402.65109
Borregales, Manuel; Radu, Florin A.; Kumar, Kundan; Nordbotten, Jan M.
25
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
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
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
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
45
2017
Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics. Zbl 1396.76047
Almani, T.; Kumar, Kundan; Wheeler, M. F.
7
2017
Analysis and upscaling of a reactive transport model in fractured porous media with nonlinear transmission condition. Zbl 1372.35163
Pop, Iuliu Sorin; Bogers, Jeroen; Kumar, Kundan
7
2017
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
37
2016
Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. Zbl 1439.74183
Almani, T.; Kumar, K.; Dogru, A.; Singh, G.; Wheeler, M. F.
21
2016
Multirate undrained splitting for coupled flow and geomechanics in porous media. Zbl 1387.76100
Kumar, Kundan; Almani, Tameem; Singh, Gurpreet; Wheeler, Mary F.
8
2016
Homogenization of a pore scale model for precipitation and dissolution in porous media. Zbl 1404.35026
Kumar, K.; Neuss-Radu, M.; Pop, I. S.
5
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
27
2015
Truncation method for random bounded self-adjoint operators. Zbl 06430446
Kumar, K.
2
2015
A global Jacobian method for mortar discretizations of a fully implicit two-phase flow model. Zbl 1312.76027
Ganis, Benjamin; Kumar, Kundan; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
10
2014
Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media. Zbl 1342.76121
Kumar, K.; Pop, I. S.; Radu, F. A.
7
2014
Upscaling of reactive flows in domains with moving oscillating boundaries. Zbl 1273.76343
Kumar, Kundan; Van Noorden, Tycho; Pop, Iuliu Sorin
7
2014
A note on analysis and numerics of algae growth. Zbl 1325.92059
Kumar, Kundan; Pisarenco, Maxim; Rudnaya, Maria; Savcenco, Valeriu
1
2014
Rigorous upscaling of rough boundaries for reactive flows. Zbl 1297.76191
Kumar, K.; van Helvoort, M.; Pop, I. S.
1
2014
Convergence analysis of mixed numerical schemes for reactive flow in a porous medium. Zbl 1311.76063
Kumar, K.; Pop, I. S.; Radu, F. A.
13
2013
Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps. Zbl 1284.41016
Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
5
2013
A note on a discrete version of Borg’s theorem via Toeplitz-Laurent operators with matrix-valued symbols. Zbl 1277.47041
Golinskii, L.; Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
4
2013
Perturbation of operators and approximation of spectrum. Zbl 1417.47003
Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S.
4
2013
Reactive flow and reaction-induced boundary movement in a thin channel. Zbl 1292.76042
Kumar, Kundan; Wheeler, Mary F.; Wick, Thomas
4
2013
A multiscale domain decomposition approach for chemical vapor deposition. Zbl 1268.80007
Bogers, J.; Kumar, K.; Notten, P. H. L.; Oudenhoven, J. F. M.; Pop, I. S.
2
2013
Numerical analysis for an upscaled model for dissolution and precipitation in porous media. Zbl 1311.76108
Kumar, K.; Pop, I. S.; Radu, F. A.
2
2013
Effective dispersion equations for reactive flows involving free boundaries at the microscale. Zbl 1222.35020
Kumar, K.; Van Noorden, T. L.; Pop, I. S.
15
2011
On \(I\) and \(I^*\)-Cauchy sequences in probabilistic normed spaces. Zbl 1206.54029
Kumar, V.; Kumar, K.
4
2008
Design of a differential power analysis resistant masked AES S-box. Zbl 1153.94404
Kumar, Kundan; Mukhopadhyay, Debdeep; RoyChowdhury, Dipanwita
1
2007
Investigation of two-dimensional channel flow with a partially compliant wall using finite volume-finite difference approach. Zbl 1075.76045
Zhang, Xing; Ajaykumar, R.; Sudharsan, N. M.; Kumar, K.
2
2005
all top 5

Cited by 344 Authors

23 Kumar, Kundan
23 Radu, Florin Adrian
18 Pop, Iuliu Sorin
18 Wheeler, Mary Fanett
17 Nordbotten, Jan Martin
8 Castelletto, Nicola
7 Ahmed, Elyes
7 Both, Jakub Wiktor
7 Ruiz-Baier, Ricardo
6 Almani, Tameem
5 Bringedal, Carina
5 Droniou, Jérôme
5 Ferronato, Massimiliano
5 Fumagalli, Alessio
5 Gaspar, Francisco José
5 Hu, Xiaozhe
5 Masson, Roland
5 Rodrigo, Carmen
5 Wick, Thomas
5 Zunino, Paolo
4 Adler, James H.
4 Berre, Inga
4 Gahn, Markus
4 Gjerde, Ingeborg G.
4 Koch, Timo
4 Lee, Sanghyun
4 Scotti, Anna
4 Singh, Gurpreet
4 Vermolen, Fred J.
4 White, Joshua A.
3 Barnafi, Nicolás A.
3 Bonaldi, Francesco
3 Brenner, Konstantin
3 Brun, Mats Kirkesæther
3 Dana, Saumik
3 Efendiev, Yalchin R.
3 Frigo, Matteo
3 Girault, Vivette
3 Hajibeygi, Hadi
3 Knabner, Peter
3 Kraus, Johannes K.
3 Kuchta, Miroslav
3 Laurino, Federica
3 Lymbery, Maria
3 Mora, David
3 Muntean, Adrian
3 Neuss-Radu, Maria
3 Ohm, Peter
3 Ray, Nadja
3 Schneider, Martin
3 Vasilyeva, Maria V.
3 Wohlmuth, Barbara I.
3 Zikatanov, Ludmil T.
2 Abreu, Eduardo
2 Altmann, Robert
2 Anaya, Verónica
2 Arrarás, Andres
2 Bause, Markus
2 Berrone, Stefano
2 Borregales, Manuel
2 Bürger, Raimund
2 Čanić, Sunčica
2 Chung, Tsz Shun Eric
2 Formaggia, Luca
2 Grappein, Denise
2 Helmig, Rainer
2 Hong, Qingguo
2 Ijioma, Ekeoma Rowland
2 Jäger, Willi
2 Jammoul, Mohamad
2 Japhet, Caroline
2 Kern, Michel
2 Khoa, Vo Anh
2 Klevtsov, Sergey
2 Koleva, Miglena Nikolaeva
2 List, Florian
2 Lopes, Tuane V.
2 Lu, Xueying
2 Mabuza, Sibusiso
2 Maier, Roland
2 Manea, Abdulrahman
2 Mardal, Kent-Andre
2 Mitra, Koondanibha
2 Murad, Márcio Arab
2 Nilsen, Halvor Møll
2 Olivares, Manuela Bastidas
2 Pasteau, Antoine
2 Portero, Laura
2 Rahrah, Menel
2 Schmidt, Patrick
2 Schulz, Raphael
2 Scialò, Stefano
2 Steeb, Holger
2 Storvik, Erlend
2 Tchelepi, Hamdi A.
2 van Noorden, Tycho L.
2 Vohralík, Martin
2 von Wolff, Lars
2 Vulkov, Lubin G.
2 Walkington, Noel J.
...and 244 more Authors
all top 5

Cited in 55 Serials

31 Computational Geosciences
24 Journal of Computational Physics
16 Computer Methods in Applied Mechanics and Engineering
15 Computers & Mathematics with Applications
9 SIAM Journal on Scientific Computing
6 SIAM Journal on Numerical Analysis
5 Journal of Computational and Applied Mathematics
5 Multiscale Modeling & Simulation
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Numerische Mathematik
3 Journal of Scientific Computing
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 Networks and Heterogeneous Media
3 GEM - International Journal on Geomathematics
2 Journal of Engineering Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 Mathematics and Computers in Simulation
2 Applied Numerical Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Applicable Analysis
1 Journal of Fluid Mechanics
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Physica D
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 European Journal of Control
1 Vietnam Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Portugaliae Mathematica. Nova Série
1 Communications on Pure and Applied Analysis
1 International Journal of Geometric Methods in Modern Physics
1 Oberwolfach Reports
1 Discrete and Continuous Dynamical Systems. Series S
1 Mathematical Geosciences
1 Advances in Applied Mathematics and Mechanics
1 Journal of Mathematics in Industry
1 Journal of Computational Dynamics
1 Mathematics in Engineering
1 SMAI Journal of Computational Mathematics
1 Results in Applied Mathematics

Citations by Year