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Author ID: aavatsmark.ivar Recent zbMATH articles by "Aavatsmark, Ivar"
Published as: Aavatsmark, Ivar; Aavatsmark, I.
Documents Indexed: 33 Publications since 1989, including 1 Book
Co-Authors: 29 Co-Authors with 23 Joint Publications
572 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 736 times in 365 Documents Cited by Year
An introduction to multipoint flux approximations for quadrilateral grids. Zbl 1094.76550
Aavatsmark, Ivar
166
2002
Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
107
1998
Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. Zbl 0859.76048
Aavatsmark, Ivar; Barkve, T.; Bøe, Ø.; Mannseth, T.
85
1996
Monotonicity of control volume methods. Zbl 1215.76090
Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T.
76
2007
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
63
2008
Discretization on unstructured grids for inhomogeneous, anisotropic media. II: Discussion and numerical results. Zbl 0951.65082
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
59
1998
Convergence of a symmetric MPFA method on quadrilateral grids. Zbl 1128.65093
Aavatsmark, I.; Eigestad, G. T.; Klausen, R. A.; Wheeler, M. F.; Yotov, I.
42
2007
Interpretation of a two-point flux stencil for skew parallelogram grids. Zbl 1124.65101
Aavatsmark, Ivar
22
2007
Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids. Zbl 1158.65331
Aavatsmark, I.; Eigestad, G. T.
18
2006
Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409
Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar
15
2009
Numerical convergence of the MPFA \(O\)-method for general quadrilateral grids in two and three dimensions. Zbl 1110.65106
Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae
11
2006
Symmetry and M-matrix issues for the O-method on an unstructured grid. Zbl 1094.76551
Eigestad, G. T.; Aavatsmark, I.; Espedal, M.
9
2002
Monotonicity for MPFA methods on triangular grids. Zbl 1333.76084
Keilegavlen, Eirik; Aavatsmark, Ivar
8
2011
Control-volume discretization method for quadrilateral grids with faults and local refinements. Zbl 0978.86001
Aavatsmark, Ivar; Reiso, Edel; Teigland, Rune
7
2001
Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076
Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd
7
2014
Discretization on triangular grids for general media. Zbl 0925.76320
Aavatsmark, I.; Barkve, T.; Bøe, Ø.; Mannseth, T.
5
1996
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
5
2008
A method for automatic history matching of a compositional reservoir simulator with multipoint flux approximation. Zbl 1159.86305
Eydinov, Dmitry; Aanonsen, Sigurd Ivar; Haukås, Jarle; Aavatsmark, Ivar
4
2008
Numerical convergence on adaptive grids for control volume methods. Zbl 1135.65389
Khattri, S. K.; Aavatsmark, I.
4
2008
Comparison of monotonicity for some multipoint flux approximation methods. Zbl 1422.65301
Aavatsmark, Ivar
4
2008
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162
Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar
3
2011
Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. Zbl 1124.76310
Aadland, T.; Aavatsmark, I.; Dahle, H. K.
3
2005
Interpretation of well-cell pressures on stretched hexagonal grids in numerical reservoir simulation. Zbl 1349.86017
Aavatsmark, Ivar
3
2016
Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Zbl 1381.76385
Mundal, Sissel Slettemark; Keilegavlen, Eirik; Aavatsmark, Ivar
3
2010
Equivalent well-cell radius for hexagonal \(\boldsymbol{K}\)-orthogonal grids in numerical reservoir simulation. Zbl 1386.86018
Aavatsmark, Ivar
2
2016
Interpretation of well-cell pressures on hexagonal grids in numerical reservoir simulation. Zbl 1349.86016
Aavatsmark, Ivar
2
2016
Mathematical introduction to the thermodynamics of mixtures. (Mathematische Einführung in die Thermodynamik der Gemische.) Zbl 0829.73001
Aavatsmark, Ivar
1
1995
Kapillarenergie als Entropiefunktion. (Capillary energy as entropy function). Zbl 0696.76118
Aavatsmark, I.
1
1989
Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109
Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar
1
2012
Interpretation of well-cell pressures on stretched hexagonal grids in numerical reservoir simulation. Zbl 1349.86017
Aavatsmark, Ivar
3
2016
Equivalent well-cell radius for hexagonal \(\boldsymbol{K}\)-orthogonal grids in numerical reservoir simulation. Zbl 1386.86018
Aavatsmark, Ivar
2
2016
Interpretation of well-cell pressures on hexagonal grids in numerical reservoir simulation. Zbl 1349.86016
Aavatsmark, Ivar
2
2016
Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076
Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd
7
2014
Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109
Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar
1
2012
Monotonicity for MPFA methods on triangular grids. Zbl 1333.76084
Keilegavlen, Eirik; Aavatsmark, Ivar
8
2011
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162
Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar
3
2011
Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Zbl 1381.76385
Mundal, Sissel Slettemark; Keilegavlen, Eirik; Aavatsmark, Ivar
3
2010
Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409
Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar
15
2009
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
63
2008
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
5
2008
A method for automatic history matching of a compositional reservoir simulator with multipoint flux approximation. Zbl 1159.86305
Eydinov, Dmitry; Aanonsen, Sigurd Ivar; Haukås, Jarle; Aavatsmark, Ivar
4
2008
Numerical convergence on adaptive grids for control volume methods. Zbl 1135.65389
Khattri, S. K.; Aavatsmark, I.
4
2008
Comparison of monotonicity for some multipoint flux approximation methods. Zbl 1422.65301
Aavatsmark, Ivar
4
2008
Monotonicity of control volume methods. Zbl 1215.76090
Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T.
76
2007
Convergence of a symmetric MPFA method on quadrilateral grids. Zbl 1128.65093
Aavatsmark, I.; Eigestad, G. T.; Klausen, R. A.; Wheeler, M. F.; Yotov, I.
42
2007
Interpretation of a two-point flux stencil for skew parallelogram grids. Zbl 1124.65101
Aavatsmark, Ivar
22
2007
Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids. Zbl 1158.65331
Aavatsmark, I.; Eigestad, G. T.
18
2006
Numerical convergence of the MPFA \(O\)-method for general quadrilateral grids in two and three dimensions. Zbl 1110.65106
Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae
11
2006
Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. Zbl 1124.76310
Aadland, T.; Aavatsmark, I.; Dahle, H. K.
3
2005
An introduction to multipoint flux approximations for quadrilateral grids. Zbl 1094.76550
Aavatsmark, Ivar
166
2002
Symmetry and M-matrix issues for the O-method on an unstructured grid. Zbl 1094.76551
Eigestad, G. T.; Aavatsmark, I.; Espedal, M.
9
2002
Control-volume discretization method for quadrilateral grids with faults and local refinements. Zbl 0978.86001
Aavatsmark, Ivar; Reiso, Edel; Teigland, Rune
7
2001
Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
107
1998
Discretization on unstructured grids for inhomogeneous, anisotropic media. II: Discussion and numerical results. Zbl 0951.65082
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
59
1998
Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. Zbl 0859.76048
Aavatsmark, Ivar; Barkve, T.; Bøe, Ø.; Mannseth, T.
85
1996
Discretization on triangular grids for general media. Zbl 0925.76320
Aavatsmark, I.; Barkve, T.; Bøe, Ø.; Mannseth, T.
5
1996
Mathematical introduction to the thermodynamics of mixtures. (Mathematische Einführung in die Thermodynamik der Gemische.) Zbl 0829.73001
Aavatsmark, Ivar
1
1995
Kapillarenergie als Entropiefunktion. (Capillary energy as entropy function). Zbl 0696.76118
Aavatsmark, I.
1
1989
all top 5

Cited by 481 Authors

25 Nordbotten, Jan Martin
24 Yuan, Guangwei
21 Edwards, Michael G.
19 Wu, Jiming
17 Aavatsmark, Ivar
17 Sheng, Zhiqiang
14 Keilegavlen, Eirik
11 Droniou, Jérôme
11 Eymard, Robert
10 Gao, Zhiming
10 Helmig, Rainer
10 Pal, Mayur
9 Lipnikov, Konstantin N.
9 Vohralík, Martin
8 Wheeler, Mary Fanett
7 Di Pietro, Daniele Antonio
7 Eigestad, Geir Terje
7 Flemisch, Bernd
7 Herbin, Raphaèle
7 Manzini, Gianmarco
7 Schneider, Martin
7 Yotov, Ivan
6 Berre, Inga
6 Lamine, Sadok
6 Radu, Florin Adrian
6 Shashkov, Mikhail J.
6 Svyatsky, Daniil
6 Wohlmuth, Barbara I.
6 Younes, Anis
5 Agelas, Leo
5 Fumagalli, Alessio
5 Gallouët, Thierry
5 Klausen, Runhild Aae
5 Le Potier, Christophe
5 Lie, Knut-Andreas
5 Mallison, Bradley T.
5 Masson, Roland
5 Sun, Shuyu
5 Tchelepi, Hamdi A.
5 Terekhov, Kirill M.
4 Cusini, Matteo
4 Dimkić, Milan
4 Gerritsen, Margot G.
4 Gläser, Dennis
4 Hajibeygi, Hadi
4 Huang, Weizhang
4 Kumar Khattri, Sanjay
4 Li, Yonghai
4 Lyra, Paulo Roberto Maciel
4 Nikitin, Kirill D.
4 Nilsen, Halvor Møll
4 Pop, Iuliu Sorin
4 Pušić, Milenko
4 Scialò, Stefano
4 Su, Shuai
4 Vassilevski, Yuri V.
4 Xie, Hui
4 Xu, Xuejun
4 Zheng, Hongwen
3 Amaziane, Brahim
3 Ambartsumyan, Ilona
3 Arrarás, Andres
3 Borio, Andrea
3 Chen, Zhangxin
3 Contreras, Fernando R. L.
3 Dong, Qiannan
3 Dotlić, Milan
3 Durlofsky, Louis J.
3 Fontaine, Vincent
3 Guichard, Cindy
3 Khattatov, Eldar
3 Kumar, Kundan
3 Lambers, James V.
3 Lee, Jeonghun J.
3 Øian, Erlend
3 Ong, Thanh Hai
3 Pokorni, Boris
3 Portero, Laura
3 Quenjel, EL Houssaine
3 Raynaud, Xavier
3 Sandve, Tor Harald
3 Sun, Lu
3 van Kruijsdijk, Cor
3 Vidovic, Dragan
3 Vuik, Cornelis
3 Wang, Shuai
3 Wang, Yihong
3 Yanbarisov, Ruslan M.
3 Yao, Yanzhong
3 Yin, Li
3 Yong, Heng
3 Yousef, Soleiman
3 Zhai, Chuanlei
3 Zhao, Guoqun
2 Abushaikha, Ahmad S.
2 Ahmed, Raheel
2 Allmaras, Steven R.
2 Alyaev, Sergey
2 Anuprienko, D. V.
2 Anuprienko, Denis
...and 381 more Authors
all top 5

Cited in 61 Serials

71 Journal of Computational Physics
71 Computational Geosciences
22 Computer Methods in Applied Mechanics and Engineering
15 International Journal for Numerical Methods in Fluids
15 Journal of Computational and Applied Mathematics
15 Numerische Mathematik
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computers & Mathematics with Applications
9 Computers and Fluids
8 Journal of Scientific Computing
7 Numerical Methods for Partial Differential Equations
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications in Computational Physics
5 Mathematics and Computers in Simulation
5 Applied Numerical Mathematics
5 SIAM Journal on Scientific Computing
4 Applied Mathematics and Computation
4 International Journal for Numerical Methods in Engineering
4 SIAM Journal on Numerical Analysis
3 Applied Mathematics Letters
3 Multiscale Modeling & Simulation
3 Advances in Applied Mathematics and Mechanics
3 International Journal on Finite Volumes
2 Mathematics of Computation
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Advances in Computational Mathematics
2 Lobachevskii Journal of Mathematics
2 Archives of Computational Methods in Engineering
2 GEM - International Journal on Geomathematics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Moscow University Mathematics Bulletin
1 Transport Theory and Statistical Physics
1 BIT
1 Calcolo
1 Computing
1 Science in China. Series A
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 Filomat
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Analysis (München)
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Mathematical Geology
1 Journal of Applied Mathematics
1 Journal of Numerical Mathematics
1 International Journal of Computational Methods
1 Journal of Hyperbolic Differential Equations
1 International Journal of Numerical Analysis and Modeling
1 Journal of Zhejiang University. Science A
1 Differential Equations & Nonlinear Mechanics
1 Progress in Computational Fluid Dynamics
1 Mathematical Geosciences
1 International Journal for Numerical Methods in Biomedical Engineering
1 Journal of Computational and Theoretical Transport

Citations by Year