Edit Profile (opens in new tab) Wheeler, Mary Fanett Co-Author Distance Author ID: wheeler.mary-fanett Published as: Wheeler, Mary F.; Wheeler, M. F.; Wheeler, Mary Fanett; Wheeler, Mary; Wheeler, M. more...less Homepage: http://users.ices.utexas.edu/~mfw/ External Links: Women in Mathematics · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 267 Publications since 1964, including 11 Additional arXiv Preprints 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 172 Co-Authors with 263 Joint Publications 4,286 Co-Co-Authors all top 5 Co-Authors 14 single-authored 33 Yotov, Ivan 23 Dawson, Clint N. 19 Sun, Shuyu 18 Wick, Thomas 16 Rivière, Beatrice M. 14 Arbogast, Todd 14 Douglas, Jim jun. 14 Girault, Vivette 13 Pencheva, Gergina V. 13 Singh, Gurpreet 12 Lee, Sanghyun 12 Mikelić, Andro 11 Ganis, Benjamin 10 Kumar, Kundan 9 Cowsar, Lawrence C. 9 Dupont, Todd F. 8 Dana, Saumik 8 Wildey, Tim M. 7 Chippada, S. 7 Ewing, Richard Edward 7 Xue, Guangri 6 Efendiev, Yalchin R. 6 Liu, Ruijie 6 Thomas, Sunil G. 6 Whiteman, John Robert 5 Almani, Tameem 5 Chung, Tsz Shun Eric 5 Glowinski, Roland 5 Kendall, Richard P. 5 Li, Hanyu 5 Obeyesekere, Mandri N. 5 Russell, Thomas F. 4 Amanbek, Yerlan 4 Darlow, Bruce L. 4 Fitzgibbon, William Edward 4 Klie, Hector M. 4 Leung, Wingtat 4 Phillips, Phillip Joseph 3 Elsheikh, Ahmed H. 3 Hoteit, Ibrahim 3 Juntunen, Mika 3 Kim, Mi-Young 3 Kinton, Wendy A. 3 Leung, Wing T. 3 Peszyńska, Małgorzata 3 van Duijn, Cornelis Johannes 3 Weiser, Alan 2 Berndt, Markus 2 Carey, Graham Francis 2 Cheung, Siu Wun 2 Dean, R. H. 2 Delshad, Mojdeh 2 Florez, Horacio 2 Gonzalez, Ruth 2 Jammoul, Mohamad 2 Jenkins, Eleanor W. 2 Keenan, Philip T. 2 Lacroix, Sébastien 2 Lu, Xueying 2 Mear, Mark E. 2 Min, Baehyun 2 Nakata, Mie 2 Patrick, Charles jun. 2 Percell, Peter B. 2 Périaux, Jacques F. 2 Rachford, Henry H. jun. 2 Saaf, Fredrik J. F. E. 2 Sen, Mrinal K. 2 Shashkov, Mikhail J. 2 Tavakoli, Reza 2 Vasilyeva, Maria V. 2 Vassilevski, Yuri V. 2 Vohralík, Martin 2 Wang, Bin 2 Wang, Chong 2 Wheeler, John Archibald 2 Woodward, Carol S. 2 Young, David M. jun. 1 Aavatsmark, Ivar 1 Al-Hinai, Omar 1 Balhoff, Matthew T. 1 Banaś, Krzysztof 1 Bangerth, Wolfgang 1 Barbeiro, Sílvia 1 Bell, John B. 1 Bischof, Christian H. 1 Bristeau, Marie-Odile 1 Bryant, Steve 1 Celentano, Carlos 1 Chadam, John M. 1 Chamoin, Ludovic 1 Cunningham, Alfred B. 1 Dawnson, C. 1 De Basabe, Jonás D. 1 Dean, Edward Jerome 1 Delic, George 1 Dogru, Ali H. 1 Downing, James A. 1 Duff, Iain S. 1 Dunn, Roderick J. jun. ...and 73 more Co-Authors all top 5 Serials 37 SIAM Journal on Numerical Analysis 37 Computational Geosciences 35 Computer Methods in Applied Mechanics and Engineering 16 Journal of Computational Physics 8 Multiscale Modeling & Simulation 6 Computers & Mathematics with Applications 6 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Scientific Computing 4 Mathematics of Computation 4 Journal of Computational and Applied Mathematics 4 Numerische Mathematik 3 International Journal for Numerical Methods in Engineering 3 RAIRO. Analyse Numérique 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 The IMA Volumes in Mathematics and its Applications 2 Numerical Linear Algebra with Applications 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Parallel Computing 1 Applied Numerical Mathematics 1 Communications in Applied Numerical Methods 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Communications in Numerical Methods in Engineering 1 East-West Journal of Numerical Mathematics 1 Engineering Analysis with Boundary Elements 1 International Journal of Computational Fluid Dynamics 1 Journal of Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Networks and Heterogeneous Media 1 GEM - International Journal on Geomathematics 1 Proceedings in Applied Mathematics all top 5 Fields 176 Numerical analysis (65-XX) 164 Fluid mechanics (76-XX) 77 Partial differential equations (35-XX) 46 Mechanics of deformable solids (74-XX) 40 Geophysics (86-XX) 10 General and overarching topics; collections (00-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 237 Publications have been cited 7,370 times in 3,534 Documents Cited by ▼ Year ▼ An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058 Wheeler, Mary Fanett 372 1978 A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060 Wheeler, Mary Fanett 258 1972 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 201 2001 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 198 1999 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084 Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 191 1997 The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 175 1983 A multiscale mortar mixed finite element method. Zbl 1322.76039 Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 153 2007 Compatible algorithms for coupled flow and transport. Zbl 1067.76565 Dawson, Clint; Sun, Shuyu; Wheeler, Mary F. 151 2004 A two-grid finite difference scheme for nonlinear parabolic equations. Zbl 0927.65107 Dawson, Clint N.; Wheeler, Mary F.; Woodward, Carol S. 143 1998 Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0545.76131 Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett 141 1984 A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case. Zbl 1117.74015 Phillips, Phillip Joseph; Wheeler, Mary F. 130 2007 On convergence of block centered finite differences for elliptic problems. Zbl 0644.65062 Weiser, Alan; Wheeler, Mary Fanett 127 1988 A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Zbl 1423.76239 Heister, Timo; Wheeler, Mary F.; Wick, Thomas 123 2015 A multipoint flux mixed finite element method. Zbl 1121.76040 Wheeler, Mary F.; Yotov, Ivan 120 2006 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235 Mikelić, Andro; Wheeler, Mary F. 117 2013 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 116 1983 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 110 2005 A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044 Arbogast, Todd; Wheeler, Mary F. 101 1995 Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043 Sun, Shuyu; Wheeler, Mary F. 100 2005 A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media. Zbl 0856.76033 Arbogast, Todd; Wheeler, Mary F.; Zhang, Nai-Ying 97 1996 An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170 Wheeler, M. F.; Wick, T.; Wollner, W. 96 2014 A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048 Phillips, Phillip Joseph; Wheeler, Mary F. 92 2008 Galerkin methods for miscible displacement problems in porous media. Zbl 0458.76092 Ewing, Richard E.; Wheeler, Mary Fanett 90 1980 A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case. Zbl 1117.74016 Phillips, Phillip Joseph; Wheeler, Mary F. 87 2007 Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Zbl 1425.74419 Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 83 2016 Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126 Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan 81 2000 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028 Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 81 2015 Two-grid methods for mixed finite element approximations of nonlinear parabolic equations. Zbl 0817.65080 Dawson, Clint N.; Wheeler, Mary F. 78 1994 Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584 Sun, Shuyu; Wheeler, Mary F. 77 2005 Some improved error estimates for the modified method of characteristics. Zbl 0693.65062 Dawson, C. N.; Russell, T. F.; Wheeler, M. F. 73 1989 Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017 Phillips, Phillip Joseph; Wheeler, Mary F. 63 2009 A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087 Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 60 1990 Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035 Girault, V.; Wheeler, M. F. 58 2008 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010 Mikelić, A.; Wheeler, M. F.; Wick, Thomas 56 2015 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098 Rivière, B.; Wheeler, M. F. 55 2003 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039 Rivière, Béatrice; Wheeler, Mary F. 55 2003 Enhanced cell-centered finite differences for elliptic equations on general geometry. Zbl 0947.65114 Arbogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan 54 1998 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072 Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 52 2002 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. 52 2007 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114 Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 52 2003 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056 Rivière, Béatrice; Wheeler, Mary F. 50 2002 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287 Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 49 2015 A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100 Wheeler, Mary; Xue, Guangri; Yotov, Ivan 49 2012 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115 Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 47 2014 Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089 Russell, Thomas F.; Wheeler, Mary Fanett 47 1983 Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105 Glowinski, Roland; Wheeler, Mary Fanett 46 1988 A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems. Zbl 1337.65128 Lee, Sanghyun; Lee, Young-Ju; Wheeler, Mary F. 45 2016 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078 Rivière, Béatrice; Wheeler, Mary F. 44 2000 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082 Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 44 2012 Mortar upscaling for multiphase flow in porous media. Zbl 1056.76048 Peszyńska, Małgorzata; Wheeler, Mary F.; Yotov, Ivan 43 2002 Balancing domain decomposition for mixed finite elements. Zbl 0828.65135 Cowsar, Lawrence C.; Mandel, Jan; Wheeler, Mary F. 43 1995 Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310 Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M. 42 2003 Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650 Girault, Vivette; Kumar, Kundan; Wheeler, Mary F. 40 2016 A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194 Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E. 39 2015 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. 38 2016 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 36 1974 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036 Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 36 2002 Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359 Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 36 2016 A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225 Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan 36 2010 A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver. Zbl 0941.76062 Dawson, Clint N.; Klíe, Héctor; Wheeler, Mary F.; Woodward, Carol S. 35 1997 Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. Zbl 1388.76140 Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 35 2017 Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030 Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I. 35 2005 Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids. Zbl 0974.65106 Li, Jichun; Wheeler, Mary F. 33 2000 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565 Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 33 2000 Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093 Wheeler, Mary; Xue, Guangri; Yotov, Ivan 33 2014 Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583 Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F. 33 2001 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030 Mikelić, Andro; Wheeler, Mary F. 33 2012 A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084 Glowinski, R.; Kinton, W.; Wheeler, M. F. 32 1989 A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. Zbl 0859.65097 Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 31 1996 \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037 Sun, Shuyu; Wheeler, Mary F. 30 2005 A \(C^ 1\) finite element collocation method for elliptic equations. Zbl 0532.65076 Percell, Peter; Wheeler, Mary Fanett 30 1980 Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048 Lee, Sanghyun; Wheeler, Mary F. 29 2017 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059 Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 28 2013 A posteriori error estimates for the mortar mixed finite element method. Zbl 1094.65114 Wheeler, Mary F.; Yotov, Ivan 28 2005 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075 Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 28 2008 On optimization algorithms for the reservoir oil well placement problem. Zbl 1197.76123 Bangerth, W.; Klie, H.; Wheeler, M. F.; Stoffa, P. L.; Sen, M. K. 28 2006 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107 Wheeler, M. F.; Whiteman, J. R. 27 1987 Projections of velocity data for the compatibility with transport. Zbl 1091.76041 Sun, Shuyu; Wheeler, Mary F. 27 2006 A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069 Vohralík, Martin; Wheeler, Mary F. 25 2013 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 25 2005 Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456 Lee, Sanghyun; Wheeler, Mary F. 24 2018 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084 Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 24 2018 Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216 Mikelić, A.; Wheeler, M. F.; Wick, T. 24 2019 Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method. Zbl 1229.76053 Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. 24 2009 A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs. Zbl 1375.76085 Dana, Saumik; Ganis, Benjamin; Wheeler, Mary F. 24 2018 Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096 Sun, Shuyu; Wheeler, Mary F. 24 2006 Stochastic collocation and mixed finite elements for flow in porous media. Zbl 1194.76242 Ganis, Benjamin; Klie, Hector; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan; Zhang, Dongxiao 24 2008 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 23 1974 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188 Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 22 2017 An optimal \(L_\infty\) error estimate for Galerkin approximations to solutions of two point boundary value problems. Zbl 0266.65061 Wheeler, Mary Fanett 22 1973 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 22 1978 A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047 Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun. 22 2005 Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling. Zbl 1267.65165 Pencheva, Gergina V.; Vohralík, Martin; Wheeler, Mary F.; Wildey, Tim 22 2013 Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity. Zbl 1115.74054 Wheeler, Mary F.; Gai, Xiuli 22 2007 Multigrid on the interface for mortar mixed finite element methods for elliptic problems. Zbl 0970.76059 Wheeler, Mary F.; Yotov, Ivan 21 2000 A multiscale mortar mixed finite element method for slightly compressible flows in porous media. Zbl 1344.76055 Kim, Mi-Young; Park, Eun-Jae; Thomas, Sunil G.; Wheeler, Mary F. 20 2007 \(L_\infty\) estimates of optimal orders for Galerkin methods for one dimensional second order parabolic and hyperbolic equations. Zbl 0266.65074 Wheeler, Mary Fanett 19 1973 A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. Zbl 1091.76040 Sun, Shuyu; Wheeler, Mary F. 19 2006 A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044 Kim, Mi-Young; Wheeler, Mary F. 19 2014 A Galerkin procedure for estimating the flux for two-point boundary value problems. Zbl 0292.65046 Wheeler, Mary Fanett 18 1974 Space-time geometric multigrid method for nonlinear advection-diffusion problems. Zbl 07574239 Li, Hanyu; Wheeler, Mary F. 1 2022 Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics. Zbl 1484.76040 Dana, Saumik; Jammoul, Mohamad; Wheeler, Mary F. 1 2022 A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media. Zbl 1524.74401 Jammoul, Mohamad; Wheeler, Mary F.; Wick, Thomas 3 2021 Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media. Zbl 1461.76008 Lee, Sanghyun; Wheeler, Mary F. 2 2021 Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041 Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary 17 2020 IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media. Zbl 1442.74216 Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun 15 2020 Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. Zbl 1447.65077 Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F. 15 2020 A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 1506.76075 Girault, Vivette; Lu, Xueying; Wheeler, Mary F. 10 2020 Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. Zbl 1454.76007 Wang, Min; Cheung, Siu Wun; Leung, Wing Tat; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary 10 2020 Three-way coupling of multiphase flow and poromechanics in porous media. Zbl 1453.76080 Lu, Xueying; Wheeler, Mary F. 7 2020 Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method. Zbl 1437.76019 Amanbek, Yerlan; Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. 7 2020 Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems. Zbl 1453.76076 Li, Hanyu; Leung, Wing Tat; Wheeler, Mary F. 3 2020 A DG-based interface element method for modeling hydraulic fracturing in porous media. Zbl 1506.74358 Liu, Ruijie; Liu, Zhijun; Wheeler, Mary F. 2 2020 The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered algorithm for consolidation in heterogeneous porous media. Zbl 1433.74093 Dana, Saumik; Ita, Joel; Wheeler, Mary F. 2 2020 Special issue: advanced numerical modeling and algorithms for multiphase flow and transport. Zbl 07505597 Firoozabadi, Abbas (ed) 1 2020 Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216 Mikelić, A.; Wheeler, M. F.; Wick, T. 24 2019 Adaptive numerical homogenization for upscaling single phase flow and transport. Zbl 1452.76080 Amanbek, Yerlan; Singh, Gurpreet; Wheeler, Mary F.; Van Duijn, Hans 13 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. 7 2019 Multiscale methods for model order reduction of non-linear multiphase flow problems. Zbl 1414.76088 Singh, Gurpreet; Leung, Wingtat; Wheeler, Mary F. 6 2019 Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396 van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 6 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 5 2019 A priori error analysis for transient problems using enhanced velocity approach in the discrete-time setting. Zbl 1458.76062 Amanbek, Yerlan; Wheeler, Mary F. 4 2019 Adaptive mesh refinement with an enhanced velocity mixed finite element method on semi-structured grids using a fully coupled solver. Zbl 1411.76061 Ganis, Benjamin; Pencheva, Gergina; Wheeler, Mary F. 3 2019 Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456 Lee, Sanghyun; Wheeler, Mary F. 24 2018 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084 Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 24 2018 A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs. Zbl 1375.76085 Dana, Saumik; Ganis, Benjamin; Wheeler, Mary F. 24 2018 Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media. Zbl 1440.74122 Dana, Saumik; Wheeler, Mary F. 13 2018 Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm. Zbl 1405.76055 Lee, Sanghyun; Min, Baehyun; Wheeler, Mary F. 7 2018 Convergence analysis of fixed stress split iterative scheme for anisotropic poroelasticity with tensor Biot parameter. Zbl 1406.65084 Dana, Saumik; Wheeler, Mary F. 7 2018 A space-time domain decomposition approach using enhanced velocity mixed finite element method. Zbl 1416.65333 Singh, Gurpreet; Wheeler, Mary F. 5 2018 Enriched Galerkin finite element approximation for elastic wave propagation in fractured media. Zbl 1415.65232 Vamaraju, Janaki; Sen, Mrinal K.; De Basabe, Jonas; Wheeler, Mary 4 2018 An approximate Jacobian nonlinear solver for multiphase flow and transport. Zbl 1416.76126 Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. 2 2018 Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. Zbl 1388.76140 Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 35 2017 Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048 Lee, Sanghyun; Wheeler, Mary F. 29 2017 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188 Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 22 2017 Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media. Zbl 1439.76158 Odsæter, Lars H.; Wheeler, Mary F.; Kvamsdal, Trond; Larson, Mats G. 14 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. 8 2017 A parallel framework for a multipoint flux mixed finite element equation of state compositional flow simulator. Zbl 1396.76050 Ganis, Benjamin; Singh, Gurpreet; Wheeler, Mary F. 2 2017 A generalized mimetic finite difference method and two-point flux schemes over Voronoi diagrams. Zbl 1398.76148 Al-Hinai, Omar; Wheeler, Mary F.; Yotov, Ivan 2 2017 Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Zbl 1425.74419 Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 83 2016 A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems. Zbl 1337.65128 Lee, Sanghyun; Lee, Young-Ju; Wheeler, Mary F. 45 2016 Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650 Girault, Vivette; Kumar, Kundan; Wheeler, Mary F. 40 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. 38 2016 Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359 Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 36 2016 Multirate undrained splitting for coupled flow and geomechanics in porous media. Zbl 1387.76100 Kumar, Kundan; Almani, Tameem; Singh, Gurpreet; Wheeler, Mary F. 9 2016 Compositional flow modeling using a multi-point flux mixed finite element method. Zbl 1395.65091 Singh, Gurpreet; Wheeler, Mary F. 6 2016 Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity. Zbl 1387.74111 Mital, Prashant; Wick, Thomas; Wheeler, Mary F.; Pencheva, Gergina 3 2016 A mortar method based on NURBS for curved interfaces. Zbl 1439.74411 Florez, Horacio; Wheeler, Mary F. 3 2016 A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Zbl 1423.76239 Heister, Timo; Wheeler, Mary F.; Wick, Thomas 123 2015 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028 Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 81 2015 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010 Mikelić, A.; Wheeler, M. F.; Wick, Thomas 56 2015 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287 Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 49 2015 A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194 Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E. 39 2015 An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170 Wheeler, M. F.; Wick, T.; Wollner, W. 96 2014 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115 Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 47 2014 Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093 Wheeler, Mary; Xue, Guangri; Yotov, Ivan 33 2014 A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044 Kim, Mi-Young; Wheeler, Mary F. 19 2014 Scalar products in generalized models with \(\mathrm{SU}(3)\)-symmetry. Zbl 1303.82014 Wheeler, M. 15 2014 Modeling fluid injection in fractures with a reservoir simulator coupled to a boundary element method. Zbl 1392.76078 Ganis, Benjamin; Mear, Mark E.; Sakhaee-Pour, A.; Wheeler, Mary F.; Wick, Thomas 12 2014 Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. Zbl 1350.65109 Kim, Mi-Young; Wheeler, Mary F. 11 2014 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 11 2014 Spline-based reservoir’s geometry reconstruction and mesh generation for coupled flow and mechanics simulation. Zbl 1392.86008 Florez, Horacio; Manzanilla-Morillo, Raul; Florez, Jorge; Wheeler, Mary F. 5 2014 A global Jacobian method for mortar discretizations of nonlinear porous media flows. Zbl 1457.65090 Ganis, Benjamin; Juntunen, Mika; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 5 2014 Solving global problem by considering multitude of local problems: application to fluid flow in anisotropic porous media using the multipoint flux approximation. Zbl 1293.76096 Salama, Amgad; Sun, Shuyu; Wheeler, Mary F. 4 2014 Hybrid nested sampling algorithm for Bayesian model selection applied to inverse subsurface flow problems. Zbl 1349.76815 Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim 4 2014 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235 Mikelić, Andro; Wheeler, Mary F. 117 2013 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059 Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 28 2013 A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069 Vohralík, Martin; Wheeler, Mary F. 25 2013 Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling. Zbl 1267.65165 Pencheva, Gergina V.; Vohralík, Martin; Wheeler, Mary F.; Wildey, Tim 22 2013 On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity. Zbl 1297.74121 Liu, Ruijie; Wheeler, Mary F.; Yotov, Ivan 11 2013 Reactive flow and reaction-induced boundary movement in a thin channel. Zbl 1292.76042 Kumar, Kundan; Wheeler, Mary F.; Wick, Thomas 6 2013 Boosting iterative stochastic ensemble method for nonlinear calibration of subsurface flow models. Zbl 1286.62079 Elsheikh, Ahmed H.; Tavakoli, Reza; Wheeler, Mary F.; Hoteit, Ibrahim 6 2013 Two-phase flow in complicated geometries, modeling the frio data using improved computational meshes. Zbl 1382.76168 Juntunen, Mika; Wheeler, Mary F. 5 2013 An iterative stochastic ensemble method for parameter estimation of subsurface flow models. Zbl 1426.76631 Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim 4 2013 Multiscale modeling of flow and geomechanics. Zbl 1302.76174 Ganis, Benjamin; Liu, Ruijie; Wang, Bin; Wheeler, Mary F.; Yotov, Ivan 4 2013 Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151 Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R. 3 2013 A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100 Wheeler, Mary; Xue, Guangri; Yotov, Ivan 49 2012 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082 Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 44 2012 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030 Mikelić, Andro; Wheeler, Mary F. 33 2012 Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283 Mikelić, Andro; Wheeler, Mary F. 16 2012 A frozen Jacobian multiscale mortar preconditioner for nonlinear interface operators. Zbl 1255.76132 Ganis, Benjamin; Pencheva, Gergina; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan 10 2012 Local velocity postprocessing for multipoint flux method on general hexahedra. Zbl 1277.76048 Wheeler, Mary; Xue, Guangri; Yotov, Ivan 2 2012 Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153 Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T. 18 2011 A multiscale preconditioner for stochastic mortar mixed finite elements. Zbl 1225.76207 Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan 9 2011 Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids. Analysis and applications to transport of reactive species in multiphase flow through porous mediaEnhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media. (Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media.) Zbl 1348.76101 Thomas, Sunil G.; Wheeler, Mary F. 9 2011 Benchmark 3D: a multipoint flux mixed finite element method on general hexahedra. Zbl 1246.76060 Wheeler, Mary F.; Xue, Guangri; Yotov, Ivan 1 2011 A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225 Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan 36 2010 A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems. Zbl 1225.74096 Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. 8 2010 A priori error estimates for the numerical solution of a coupled geomechanics and reservoir flow model with stress-dependent permeability. Zbl 1381.76333 Barbeiro, Sílvia; Wheeler, Mary F. 8 2010 Efficient algorithms for multiscale modeling in porous media. Zbl 1240.76024 Wheeler, Mary F.; Wildey, Tim; Xue, Guangri 4 2010 Modeling multiphase non-Newtonian polymer flow in IPARS parallel framework. Zbl 1263.76006 Yuan, Changli; Delshad, Mojdeh; Wheeler, Mary F. 1 2010 Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017 Phillips, Phillip Joseph; Wheeler, Mary F. 63 2009 Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method. Zbl 1229.76053 Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. 24 2009 On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems. Zbl 1230.74189 Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. 17 2009 Domain decomposition for linear elasticity with DG jumps and mortars. Zbl 1227.74069 Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M. 10 2009 An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions. Zbl 1227.65085 Wang, Kaixin; Wang, Hong; Sun, Shuyu; Wheeler, Mary F. 6 2009 A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048 Phillips, Phillip Joseph; Wheeler, Mary F. 92 2008 Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035 Girault, V.; Wheeler, M. F. 58 2008 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075 Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 28 2008 Stochastic collocation and mixed finite elements for flow in porous media. Zbl 1194.76242 Ganis, Benjamin; Klie, Hector; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan; Zhang, Dongxiao 24 2008 ...and 137 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,132 Authors 126 Wheeler, Mary Fanett 79 Rui, Hongxing 65 Sun, Shuyu 61 Chung, Tsz Shun Eric 51 Rivière, Beatrice M. 49 Chen, Yanping 45 Wick, Thomas 43 Yotov, Ivan 41 Radu, Florin Adrian 41 Yuan, Yirang 35 Antonietti, Paola Francesca 35 Nordbotten, Jan Martin 31 Efendiev, Yalchin R. 31 Huang, Yunqing 30 Kou, Jisheng 29 Li, Xiaoli 27 Dawson, Clint N. 27 Park, Eun-Jae 26 Baccouch, Mahboub 26 Kumar, Kundan 26 Pop, Iuliu Sorin 25 Vohralík, Martin 24 Chen, Zhangxin 24 Li, Changfeng 23 Sun, Tongjun 22 Arbogast, Todd 22 Ewing, Richard Edward 22 Pani, Amiya Kumar 21 Fu, Shubin 21 Mikelić, Andro 21 Ruiz-Baier, Ricardo 21 Wang, Hong 20 Guo, Hui 20 Lee, Sanghyun 20 Zhang, Jiansong 20 Zhang, Zhimin 19 Castelletto, Nicola 19 Girault, Vivette 19 Li, Jichun 18 Cockburn, Bernardo 18 Di Pietro, Daniele Antonio 18 Tchelepi, Hamdi A. 18 Zhao, Lina 17 Edwards, Michael G. 17 Hughes, Thomas J. R. 17 Lin, Yanping 16 Chen, Chuanjun 16 Douglas, Jim jun. 16 Hu, Xiaozhe 16 Lazarov, Raytcho D. 16 Masson, Roland 16 Mazzieri, Ilario 16 Yang, Haijian 16 Yang, Jiming 15 Bi, Chunjia 15 Droniou, Jérôme 15 Houston, Paul 15 Vasilyeva, Maria V. 15 Xu, Jinchao 15 Yang, Danping 15 Yang, Yang 14 Bause, Markus 14 Dolejší, Vít 14 Li, Hong 14 Liu, Wei 14 Liu, Yang 14 Rodrigo, Carmen 14 Shi, Dongyang 13 Chen, Luoping 13 Gaspar, Francisco José 13 Gudi, Thirupathi 13 He, Yinnian 13 Hu, Hanzhang 13 Lee, Jeonghun J. 13 Schötzau, Dominik 13 Sun, WaiChing 13 Wang, Junping 13 Wohlmuth, Barbara I. 13 Yang, Qing 12 Adjerid, Slimane 12 Brenner, Susanne Cecelia 12 Feng, Xinlong 12 Fu, Hongfei 12 Galvis, Juan 12 Ge, Zhihao 12 Kumar, Sarvesh 12 Leung, Wingtat 12 Manzini, Gianmarco 12 Song, Huailing 12 Sun, Weiwei 12 Tavener, Simon J. 12 Wang, Fei 12 Wang, Xiuhua 12 Xu, Da 12 Yang, Chao 11 Brenner, Konstantin 11 Brezzi, Franco 11 Chen, Huanzhen 11 Ern, Alexandre 11 Ganis, Benjamin ...and 4,032 more Authors all top 5 Cited in 236 Serials 469 Computer Methods in Applied Mechanics and Engineering 271 Journal of Computational Physics 215 Journal of Computational and Applied Mathematics 202 Computers & Mathematics with Applications 189 Journal of Scientific Computing 178 Computational Geosciences 129 Numerical Methods for Partial Differential Equations 112 Mathematics of Computation 108 Applied Numerical Mathematics 105 Numerische Mathematik 86 Applied Mathematics and Computation 80 SIAM Journal on Scientific Computing 56 SIAM Journal on Numerical Analysis 56 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 38 International Journal for Numerical Methods in Engineering 35 Numerical Algorithms 32 Computers and Fluids 32 Mathematics and Computers in Simulation 30 Computational Mechanics 29 Advances in Computational Mathematics 28 Advances in Applied Mathematics and Mechanics 27 Multiscale Modeling & Simulation 26 Applied Mathematical Modelling 24 Applicable Analysis 23 Communications in Computational Physics 22 Calcolo 22 Computational and Applied Mathematics 21 International Journal for Numerical Methods in Fluids 21 Applications of Mathematics 20 International Journal of Numerical Analysis and Modeling 19 Engineering Analysis with Boundary Elements 18 Mathematical Methods in the Applied Sciences 18 International Journal of Computer Mathematics 17 Journal of Mathematical Analysis and Applications 17 RAIRO. Modélisation Mathématique et Analyse Numérique 17 Computational Methods in Applied Mathematics 14 Journal of Applied Mathematics and Computing 14 Science China. Mathematics 13 BIT 13 Numerical Functional Analysis and Optimization 13 Journal of Numerical Mathematics 13 GEM - International Journal on Geomathematics 12 Applied Mathematics Letters 12 Communications in Nonlinear Science and Numerical Simulation 11 Acta Mathematicae Applicatae Sinica. English Series 11 Abstract and Applied Analysis 11 International Journal of Computational Methods 10 Communications in Numerical Methods in Engineering 10 Numerical Linear Algebra with Applications 10 Journal of Applied Mathematics 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Computing 8 Journal of Computational Mathematics 8 Archives of Computational Methods in Engineering 7 Applied Mathematics. Series B (English Edition) 7 International Journal of Numerical Methods for Heat & Fluid Flow 7 Journal of Systems Science and Complexity 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Theoretical Biology 6 RAIRO. Analyse Numérique 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical Problems in Engineering 6 International Journal of Computational Fluid Dynamics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 European Journal of Mechanics. A. Solids 6 Boundary Value Problems 6 GAMM-Mitteilungen 6 AMM. Applied Mathematics and Mechanics. (English Edition) 6 Communications on Applied Mathematics and Computation 6 Results in Applied Mathematics 5 International Journal of Engineering Science 5 Journal of Fluid Mechanics 5 Journal of the Mechanics and Physics of Solids 5 Journal of Differential Equations 5 Journal of Optimization Theory and Applications 5 Japan Journal of Industrial and Applied Mathematics 5 ETNA. Electronic Transactions on Numerical Analysis 5 Russian Journal of Numerical Analysis and Mathematical Modelling 5 Computing and Visualization in Science 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Advances in Difference Equations 5 Electronic Research Archive 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Biology 4 Meccanica 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Systems & Control Letters 4 Acta Applicandae Mathematicae 4 Mathematical Modelling and Analysis 4 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Biosciences and Engineering 4 Mathematical Geosciences 4 Mathematical Control and Related Fields 4 Journal of the Korean Society for Industrial and Applied Mathematics 4 S\(\vec{\text{e}}\)MA Journal 4 SIAM/ASA Journal on Uncertainty Quantification 3 Computer Physics Communications 3 Bulletin of Mathematical Biology 3 SIAM Journal on Control and Optimization ...and 136 more Serials all top 5 Cited in 39 Fields 2,774 Numerical analysis (65-XX) 1,542 Fluid mechanics (76-XX) 1,383 Partial differential equations (35-XX) 767 Mechanics of deformable solids (74-XX) 193 Geophysics (86-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 93 Biology and other natural sciences (92-XX) 57 Classical thermodynamics, heat transfer (80-XX) 53 Integral equations (45-XX) 48 Optics, electromagnetic theory (78-XX) 40 Statistical mechanics, structure of matter (82-XX) 35 Systems theory; control (93-XX) 31 Computer science (68-XX) 30 Ordinary differential equations (34-XX) 29 Probability theory and stochastic processes (60-XX) 29 Operations research, mathematical programming (90-XX) 25 Real functions (26-XX) 25 Statistics (62-XX) 12 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Potential theory (31-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.