Edit Profile (opens in new tab) Aavatsmark, Ivar Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 10 single-authored 6 Eigestad, Geir Terje 4 Barkve, Tor 4 Bøe, Øistein 4 Mannseth, Trond 4 Nordbotten, Jan Martin 3 Keilegavlen, Eirik 2 Flemisch, Bernd 2 Gasda, Sarah E. 2 Helmig, Rainer 2 Klausen, Runhild Aae 2 Mundal, Sissel Slettemark 1 Aadland, T. 1 Aanonsen, Sigurd Ivar 1 Dahle, Helge K. 1 Di Pietro, Daniele Antonio 1 Espedal, Magne S. 1 Eydinov, Dmitry 1 Faigle, Benjamin 1 Haukås, Jarle 1 Khattri, Sanjay K. 1 Kometa, Bawfeh Kingsley 1 Nilsen, Halvor Møll 1 Reiso, Edel 1 Sandve, Tor Harald 1 Sandvin, Andreas 1 Teigland, Rune 1 Wheeler, Mary Fanett 1 Wolff, Markus 1 Yotov, Ivan all top 5 Serials 15 Computational Geosciences 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Numerische Mathematik 1 International Journal of Numerical Analysis and Modeling all top 5 Fields 25 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 7 Geophysics (86-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 1094.76550Aavatsmark, Ivar 166 2002 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 107 1998 Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. Zbl 0859.76048Aavatsmark, Ivar; Barkve, T.; Bøe, Ø.; Mannseth, T. 85 1996 Monotonicity of control volume methods. Zbl 1215.76090Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T. 76 2007 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114Aavatsmark, 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 0951.65082Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 59 1998 Convergence of a symmetric MPFA method on quadrilateral grids. Zbl 1128.65093Aavatsmark, 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 1124.65101Aavatsmark, Ivar 22 2007 Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids. Zbl 1158.65331Aavatsmark, I.; Eigestad, G. T. 18 2006 Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409Keilegavlen, 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 1110.65106Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae 11 2006 Symmetry and M-matrix issues for the O-method on an unstructured grid. Zbl 1094.76551Eigestad, G. T.; Aavatsmark, I.; Espedal, M. 9 2002 Monotonicity for MPFA methods on triangular grids. Zbl 1333.76084Keilegavlen, Eirik; Aavatsmark, Ivar 8 2011 Control-volume discretization method for quadrilateral grids with faults and local refinements. Zbl 0978.86001Aavatsmark, Ivar; Reiso, Edel; Teigland, Rune 7 2001 Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd 7 2014 Discretization on triangular grids for general media. Zbl 0925.76320Aavatsmark, I.; Barkve, T.; Bøe, Ø.; Mannseth, T. 5 1996 Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325Mundal, 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 1159.86305Eydinov, Dmitry; Aanonsen, Sigurd Ivar; Haukås, Jarle; Aavatsmark, Ivar 4 2008 Numerical convergence on adaptive grids for control volume methods. Zbl 1135.65389Khattri, S. K.; Aavatsmark, I. 4 2008 Comparison of monotonicity for some multipoint flux approximation methods. Zbl 1422.65301Aavatsmark, Ivar 4 2008 Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162Sandvin, 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 1124.76310Aadland, T.; Aavatsmark, I.; Dahle, H. K. 3 2005 Interpretation of well-cell pressures on stretched hexagonal grids in numerical reservoir simulation. Zbl 1349.86017Aavatsmark, Ivar 3 2016 Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Zbl 1381.76385Mundal, Sissel Slettemark; Keilegavlen, Eirik; Aavatsmark, Ivar 3 2010 Equivalent well-cell radius for hexagonal \(\boldsymbol{K}\)-orthogonal grids in numerical reservoir simulation. Zbl 1386.86018Aavatsmark, Ivar 2 2016 Interpretation of well-cell pressures on hexagonal grids in numerical reservoir simulation. Zbl 1349.86016Aavatsmark, Ivar 2 2016 Mathematical introduction to the thermodynamics of mixtures. (Mathematische Einführung in die Thermodynamik der Gemische.) Zbl 0829.73001Aavatsmark, Ivar 1 1995 Kapillarenergie als Entropiefunktion. (Capillary energy as entropy function). Zbl 0696.76118Aavatsmark, I. 1 1989 Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar 1 2012 Interpretation of well-cell pressures on stretched hexagonal grids in numerical reservoir simulation. Zbl 1349.86017Aavatsmark, Ivar 3 2016 Equivalent well-cell radius for hexagonal \(\boldsymbol{K}\)-orthogonal grids in numerical reservoir simulation. Zbl 1386.86018Aavatsmark, Ivar 2 2016 Interpretation of well-cell pressures on hexagonal grids in numerical reservoir simulation. Zbl 1349.86016Aavatsmark, Ivar 2 2016 Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. Zbl 1392.76076Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd 7 2014 Treatment of tensorial relative permeabilities with multipoint flux approximation. Zbl 1277.76109Wolff, Markus; Flemisch, Bernd; Helmig, Rainer; Aavatsmark, Ivar 1 2012 Monotonicity for MPFA methods on triangular grids. Zbl 1333.76084Keilegavlen, Eirik; Aavatsmark, Ivar 8 2011 Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. Zbl 1348.76162Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar 3 2011 Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Zbl 1381.76385Mundal, Sissel Slettemark; Keilegavlen, Eirik; Aavatsmark, Ivar 3 2010 Sufficient criteria are necessary for monotone control volume methods. Zbl 1173.76409Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar 15 2009 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114Aavatsmark, 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 1422.65325Mundal, 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 1159.86305Eydinov, Dmitry; Aanonsen, Sigurd Ivar; Haukås, Jarle; Aavatsmark, Ivar 4 2008 Numerical convergence on adaptive grids for control volume methods. Zbl 1135.65389Khattri, S. K.; Aavatsmark, I. 4 2008 Comparison of monotonicity for some multipoint flux approximation methods. Zbl 1422.65301Aavatsmark, Ivar 4 2008 Monotonicity of control volume methods. Zbl 1215.76090Nordbotten, J. M.; Aavatsmark, I.; Eigestad, G. T. 76 2007 Convergence of a symmetric MPFA method on quadrilateral grids. Zbl 1128.65093Aavatsmark, 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 1124.65101Aavatsmark, Ivar 22 2007 Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids. Zbl 1158.65331Aavatsmark, I.; Eigestad, G. T. 18 2006 Numerical convergence of the MPFA \(O\)-method for general quadrilateral grids in two and three dimensions. Zbl 1110.65106Aavatsmark, 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 1124.76310Aadland, T.; Aavatsmark, I.; Dahle, H. K. 3 2005 An introduction to multipoint flux approximations for quadrilateral grids. Zbl 1094.76550Aavatsmark, Ivar 166 2002 Symmetry and M-matrix issues for the O-method on an unstructured grid. Zbl 1094.76551Eigestad, G. T.; Aavatsmark, I.; Espedal, M. 9 2002 Control-volume discretization method for quadrilateral grids with faults and local refinements. Zbl 0978.86001Aavatsmark, Ivar; Reiso, Edel; Teigland, Rune 7 2001 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 107 1998 Discretization on unstructured grids for inhomogeneous, anisotropic media. II: Discussion and numerical results. Zbl 0951.65082Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 59 1998 Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. Zbl 0859.76048Aavatsmark, Ivar; Barkve, T.; Bøe, Ø.; Mannseth, T. 85 1996 Discretization on triangular grids for general media. Zbl 0925.76320Aavatsmark, I.; Barkve, T.; Bøe, Ø.; Mannseth, T. 5 1996 Mathematical introduction to the thermodynamics of mixtures. (Mathematische Einführung in die Thermodynamik der Gemische.) Zbl 0829.73001Aavatsmark, Ivar 1 1995 Kapillarenergie als Entropiefunktion. (Capillary energy as entropy function). Zbl 0696.76118Aavatsmark, I. 1 1989 all cited Publications top 5 cited Publications 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 all top 5 Cited in 16 Fields 273 Numerical analysis (65-XX) 214 Fluid mechanics (76-XX) 104 Partial differential equations (35-XX) 44 Geophysics (86-XX) 27 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year