Edit Profile (opens in new tab) Wheeler, Mary Fanett Compute Distance To: Compute 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: 255 Publications since 1964 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 170 Co-Authors with 252 Joint Publications 3,998 Co-Co-Authors all top 5 Co-Authors 13 single-authored 33 Yotov, Ivan 23 Dawson, Clint N. 19 Sun, Shuyu 17 Wick, Thomas 16 Rivière, Beatrice M. 14 Arbogast, Todd 14 Douglas, Jim jun. 14 Girault, Vivette 13 Pencheva, Gergina V. 12 Lee, Sanghyun 12 Mikelić, Andro 11 Ganis, Benjamin 11 Singh, Gurpreet 9 Cowsar, Lawrence C. 9 Dupont, Todd F. 9 Kumar, Kundan 8 Wildey, Tim M. 7 Chippada, S. 7 Ewing, Richard Edward 7 Xue, Guangri 6 Liu, Ruijie 6 Thomas, Sunil G. 6 Whiteman, John Robert 5 Dana, Saumik 5 Glowinski, Roland 5 Kendall, Richard P. 5 Obeyesekere, Mandri N. 5 Russell, Thomas F. 4 Almani, Tameem 4 Darlow, Bruce L. 4 Fitzgibbon, William Edward 4 Klie, Hector M. 4 Li, Hanyu 4 Phillips, Phillip Joseph 3 Amanbek, Yerlan 3 Efendiev, Yalchin R. 3 Elsheikh, Ahmed H. 3 Hoteit, Ibrahim 3 Juntunen, Mika 3 Kim, Mi-Young 3 Kinton, Wendy A. 3 Leung, Wingtat 3 Peszyńska, Małgorzata 3 van Duijn, Cornelis Johannes 3 Weiser, Alan 2 Berndt, Markus 2 Carey, Graham Francis 2 Chung, Tsz Shun Eric 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 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 Cheung, Siu Wun 1 Cunningham, Alfred B. 1 Dawnson, C. 1 De Basabe, Jonás D. 1 Dean, Edward Jerome 1 Dean, Raven 1 Delic, George 1 Dogru, Ali H. 1 Downing, James A. 1 Duff, Iain S. 1 Dunn, Roderick J. jun. 1 Eaton, Joe 1 Edelman, Alan Stuart ...and 71 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 5 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 175 Numerical analysis (65-XX) 164 Fluid mechanics (76-XX) 76 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 232 Publications have been cited 6,421 times in 3,109 Documents Cited by ▼ Year ▼ An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058Wheeler, Mary Fanett 343 1978 A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060Wheeler, Mary Fanett 219 1972 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 187 2001 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 177 1999 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 172 1997 The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 160 1983 Compatible algorithms for coupled flow and transport. Zbl 1067.76565Dawson, Clint; Sun, Shuyu; Wheeler, Mary F. 141 2004 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 134 2007 Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0545.76131Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett 130 1984 A two-grid finite difference scheme for nonlinear parabolic equations. Zbl 0927.65107Dawson, Clint N.; Wheeler, Mary F.; Woodward, Carol S. 125 1998 On convergence of block centered finite differences for elliptic problems. Zbl 0644.65062Weiser, Alan; Wheeler, Mary Fanett 114 1988 A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case. Zbl 1117.74015Phillips, Phillip Joseph; Wheeler, Mary F. 111 2007 A multipoint flux mixed finite element method. Zbl 1121.76040Wheeler, Mary F.; Yotov, Ivan 110 2006 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 103 1983 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235Mikelić, Andro; Wheeler, Mary F. 101 2013 A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044Arbogast, Todd; Wheeler, Mary F. 94 1995 Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043Sun, Shuyu; Wheeler, Mary F. 94 2005 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 90 2005 A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Zbl 1423.76239Heister, Timo; Wheeler, Mary F.; Wick, Thomas 86 2015 An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170Wheeler, M. F.; Wick, T.; Wollner, W. 85 2014 Galerkin methods for miscible displacement problems in porous media. Zbl 0458.76092Ewing, Richard E.; Wheeler, Mary Fanett 84 1980 A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media. Zbl 0856.76033Arbogast, Todd; Wheeler, Mary F.; Zhang, Nai-Ying 84 1996 A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048Phillips, Phillip Joseph; Wheeler, Mary F. 78 2008 A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case. Zbl 1117.74016Phillips, Phillip Joseph; Wheeler, Mary F. 77 2007 Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan 71 2000 Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584Sun, Shuyu; Wheeler, Mary F. 70 2005 Some improved error estimates for the modified method of characteristics. Zbl 0693.65062Dawson, C. N.; Russell, T. F.; Wheeler, M. F. 70 1989 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 69 2015 Two-grid methods for mixed finite element approximations of nonlinear parabolic equations. Zbl 0817.65080Dawson, Clint N.; Wheeler, Mary F. 65 1994 Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Zbl 1425.74419Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 57 2016 A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 57 1990 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098Rivière, B.; Wheeler, M. F. 52 2003 Enhanced cell-centered finite differences for elliptic equations on general geometry. Zbl 0947.65114Arobogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan 51 1998 Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017Phillips, Phillip Joseph; Wheeler, Mary F. 49 2009 Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035Girault, V.; Wheeler, M. F. 49 2008 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039Rivière, Béatrice; Wheeler, Mary F. 48 2003 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010Mikelić, A.; Wheeler, M. F.; Wick, Thomas 47 2015 Convergence of a symmetric MPFA method on quadrilateral grids. Zbl 1128.65093Aavatsmark, I.; Eigestad, G. T.; Klausen, R. A.; Wheeler, M. F.; Yotov, I. 47 2007 A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100Wheeler, Mary; Xue, Guangri; Yotov, Ivan 45 2012 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 45 2002 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 44 2014 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 44 2003 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 42 2015 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 41 2012 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056Rivière, Béatrice; Wheeler, Mary F. 41 2002 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078Rivière, Béatrice; Wheeler, Mary F. 40 2000 Mortar upscaling for multiphase flow in porous media. Zbl 1056.76048Peszyńska, Małgorzata; Wheeler, Mary F.; Yotov, Ivan 38 2002 Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650Girault, Vivette; Kumar, Kundan; Wheeler, Mary F. 37 2016 Balancing domain decomposition for mixed finite elements. Zbl 0828.65135Cowsar, Lawrence C.; Mandel, Jan; Wheeler, Mary F. 36 1995 Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M. 35 2003 Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105Glowinski, Roland; Wheeler, Mary Fanett 35 1988 Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I. 34 2005 A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E. 34 2015 A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems. Zbl 1337.65128Lee, Sanghyun; Lee, Young-Ju; Wheeler, Mary F. 33 2016 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 33 1974 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 33 2002 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 32 2000 A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan 32 2010 A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver. Zbl 0941.76062Dawson, Clint N.; Klíe, Héctor; Wheeler, Mary F.; Woodward, Carol S. 30 1997 Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089Russell, Thomas F.; Wheeler, Mary Fanett 29 1983 A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. Zbl 0859.65097Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 29 1996 Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F. 29 2001 A \(C^ 1\) finite element collocation method for elliptic equations. Zbl 0532.65076Percell, Peter; Wheeler, Mary Fanett 28 1980 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 28 2008 \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037Sun, Shuyu; Wheeler, Mary F. 28 2005 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 27 2013 Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093Wheeler, Mary; Xue, Guangri; Yotov, Ivan 27 2014 On optimization algorithms for the reservoir oil well placement problem. Zbl 1197.76123Bangerth, W.; Klie, H.; Wheeler, M. F.; Stoffa, P. L.; Sen, M. K. 27 2006 Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids. Zbl 0974.65106Li, Jichun; Wheeler, Mary F. 27 2000 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107Wheeler, M. F.; Whiteman, J. R. 27 1987 A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084Glowinski, R.; Kinton, W.; Wheeler, M. F. 27 1989 Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. Zbl 1388.76140Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 27 2017 Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048Lee, Sanghyun; Wheeler, Mary F. 26 2017 Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096Sun, Shuyu; Wheeler, Mary F. 24 2006 A posteriori error estimates for the mortar mixed finite element method. Zbl 1094.65114Wheeler, Mary F.; Yotov, Ivan 24 2005 Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. Zbl 1439.74183Almani, T.; Kumar, K.; Dogru, A.; Singh, G.; Wheeler, M. F. 22 2016 Stochastic collocation and mixed finite elements for flow in porous media. Zbl 1194.76242Ganis, Benjamin; Klie, Hector; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan; Zhang, Dongxiao 22 2008 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 22 1974 Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method. Zbl 1229.76053Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. 22 2009 Projections of velocity data for the compatibility with transport. Zbl 1091.76041Sun, Shuyu; Wheeler, Mary F. 22 2006 An optimal \(L_\infty\) error estimate for Galerkin approximations to solutions of two point boundary value problems. Zbl 0266.65061Wheeler, Mary Fanett 22 1973 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 21 1978 A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069Vohralík, Martin; Wheeler, Mary F. 21 2013 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 21 2018 A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs. Zbl 1375.76085Dana, Saumik; Ganis, Benjamin; Wheeler, Mary F. 21 2018 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030Mikelić, Andro; Wheeler, Mary F. 21 2012 A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun. 20 2005 Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity. Zbl 1115.74054Wheeler, Mary F.; Gai, Xiuli 20 2007 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 19 2017 A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. Zbl 1091.76040Sun, Shuyu; Wheeler, Mary F. 19 2006 \(L_\infty\) estimates of optimal orders for Galerkin methods for one dimensional second order parabolic and hyperbolic equations. Zbl 0266.65074Wheeler, Mary Fanett 19 1973 A multiscale mortar mixed finite element method for slightly compressible flows in porous media. Zbl 1344.76055Kim, Mi-Young; Park, Eun-Jae; Thomas, Sunil G.; Wheeler, Mary F. 18 2007 Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling. Zbl 1267.65165Pencheva, Gergina V.; Vohralík, Martin; Wheeler, Mary F.; Wildey, Tim 18 2013 A Galerkin procedure for estimating the flux for two-point boundary value problems. Zbl 0292.65046Wheeler, Mary Fanett 17 1974 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 17 2005 Multigrid on the interface for mortar mixed finite element methods for elliptic problems. Zbl 0970.76059Wheeler, Mary F.; Yotov, Ivan 16 2000 A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044Kim, Mi-Young; Wheeler, Mary F. 16 2014 Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456Lee, Sanghyun; Wheeler, Mary F. 16 2018 Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T. 16 2011 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 16 2003 Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media. Zbl 1461.76008Lee, Sanghyun; Wheeler, Mary F. 2 2021 A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media. Zbl 07351751Jammoul, Mohamad; Wheeler, Mary F.; Wick, Thomas 2 2021 Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. Zbl 1447.65077Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F. 12 2020 Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary 10 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 1442.74216Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun 9 2020 Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. Zbl 1454.76007Wang, Min; Cheung, Siu Wun; Leung, Wing Tat; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary 7 2020 Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method. Zbl 1437.76019Amanbek, Yerlan; Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. 5 2020 A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158Girault, Vivette; Lu, Xueying; Wheeler, Mary F. 5 2020 Three-way coupling of multiphase flow and poromechanics in porous media. Zbl 1453.76080Lu, Xueying; Wheeler, Mary F. 4 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 1433.74093Dana, Saumik; Ita, Joel; Wheeler, Mary F. 2 2020 Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems. Zbl 1453.76076Li, Hanyu; Leung, Wing Tat; Wheeler, Mary F. 1 2020 A DG-based interface element method for modeling hydraulic fracturing in porous media. Zbl 07337139Liu, Ruijie; Liu, Zhijun; Wheeler, Mary F. 1 2020 Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216Mikelić, A.; Wheeler, M. F.; Wick, T. 15 2019 Multiscale methods for model order reduction of non-linear multiphase flow problems. Zbl 1414.76088Singh, Gurpreet; Leung, Wingtat; Wheeler, Mary F. 6 2019 Adaptive numerical homogenization for upscaling single phase flow and transport. Zbl 1452.76080Amanbek, Yerlan; Singh, Gurpreet; Wheeler, Mary F.; Van Duijn, Hans 5 2019 Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 5 2019 A priori error analysis for transient problems using enhanced velocity approach in the discrete-time setting. Zbl 1458.76062Amanbek, Yerlan; Wheeler, Mary F. 4 2019 Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. Zbl 1416.35263Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet 3 2019 Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. Zbl 1443.65190Almani, Tameem; Kumar, Kundan; Singh, Gurpreet; Wheeler, M. F. 2 2019 Adaptive mesh refinement with an enhanced velocity mixed finite element method on semi-structured grids using a fully coupled solver. Zbl 1411.76061Ganis, Benjamin; Pencheva, Gergina; Wheeler, Mary F. 2 2019 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 21 2018 A multiscale fixed stress split iterative scheme for coupled flow and poromechanics in deep subsurface reservoirs. Zbl 1375.76085Dana, Saumik; Ganis, Benjamin; Wheeler, Mary F. 21 2018 Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456Lee, Sanghyun; Wheeler, Mary F. 16 2018 Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media. Zbl 1440.74122Dana, Saumik; Wheeler, Mary F. 9 2018 Convergence analysis of fixed stress split iterative scheme for anisotropic poroelasticity with tensor Biot parameter. Zbl 1406.65084Dana, Saumik; Wheeler, Mary F. 7 2018 Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm. Zbl 1405.76055Lee, Sanghyun; Min, Baehyun; Wheeler, Mary F. 7 2018 Enriched Galerkin finite element approximation for elastic wave propagation in fractured media. Zbl 1415.65232Vamaraju, Janaki; Sen, Mrinal K.; De Basabe, Jonas; Wheeler, Mary 3 2018 A space-time domain decomposition approach using enhanced velocity mixed finite element method. Zbl 1416.65333Singh, Gurpreet; Wheeler, Mary F. 3 2018 An approximate Jacobian nonlinear solver for multiphase flow and transport. Zbl 1416.76126Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. 1 2018 Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. Zbl 1388.76140Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 27 2017 Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048Lee, Sanghyun; Wheeler, Mary F. 26 2017 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 19 2017 Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics. Zbl 1396.76047Almani, T.; Kumar, Kundan; Wheeler, M. F. 7 2017 Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media. Zbl 1439.76158Odsæter, Lars H.; Wheeler, Mary F.; Kvamsdal, Trond; Larson, Mats G. 7 2017 A parallel framework for a multipoint flux mixed finite element equation of state compositional flow simulator. Zbl 1396.76050Ganis, Benjamin; Singh, Gurpreet; Wheeler, Mary F. 2 2017 A generalized mimetic finite difference method and two-point flux schemes over Voronoi diagrams. Zbl 1398.76148Al-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 1425.74419Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas 57 2016 Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650Girault, Vivette; Kumar, Kundan; Wheeler, Mary F. 37 2016 A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems. Zbl 1337.65128Lee, Sanghyun; Lee, Young-Ju; Wheeler, Mary F. 33 2016 Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. Zbl 1439.74183Almani, T.; Kumar, K.; Dogru, A.; Singh, G.; Wheeler, M. F. 22 2016 Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 14 2016 Multirate undrained splitting for coupled flow and geomechanics in porous media. Zbl 1387.76100Kumar, Kundan; Almani, Tameem; Singh, Gurpreet; Wheeler, Mary F. 8 2016 Compositional flow modeling using a multi-point flux mixed finite element method. Zbl 1395.65091Singh, Gurpreet; Wheeler, Mary F. 6 2016 A mortar method based on NURBS for curved interfaces. Zbl 1439.74411Florez, Horacio; Wheeler, Mary F. 2 2016 Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity. Zbl 1387.74111Mital, Prashant; Wick, Thomas; Wheeler, Mary F.; Pencheva, Gergina 2 2016 A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Zbl 1423.76239Heister, Timo; Wheeler, Mary F.; Wick, Thomas 86 2015 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 69 2015 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010Mikelić, A.; Wheeler, M. F.; Wick, Thomas 47 2015 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 42 2015 A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E. 34 2015 An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170Wheeler, M. F.; Wick, T.; Wollner, W. 85 2014 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 44 2014 Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093Wheeler, Mary; Xue, Guangri; Yotov, Ivan 27 2014 A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044Kim, Mi-Young; Wheeler, Mary F. 16 2014 Scalar products in generalized models with \(\mathrm{SU}(3)\)-symmetry. Zbl 1303.82014Wheeler, M. 13 2014 Modeling fluid injection in fractures with a reservoir simulator coupled to a boundary element method. Zbl 1392.76078Ganis, Benjamin; Mear, Mark E.; Sakhaee-Pour, A.; Wheeler, Mary F.; Wick, Thomas 11 2014 A global Jacobian method for mortar discretizations of a fully implicit two-phase flow model. Zbl 1312.76027Ganis, Benjamin; Kumar, Kundan; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 10 2014 Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. Zbl 1350.65109Kim, Mi-Young; Wheeler, Mary F. 10 2014 Solving global problem by considering multitude of local problems: application to fluid flow in anisotropic porous media using the multipoint flux approximation. Zbl 1293.76096Salama, Amgad; Sun, Shuyu; Wheeler, Mary F. 4 2014 Hybrid nested sampling algorithm for Bayesian model selection applied to inverse subsurface flow problems. Zbl 1349.76815Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim 4 2014 A global Jacobian method for mortar discretizations of nonlinear porous media flows. Zbl 1457.65090Ganis, Benjamin; Juntunen, Mika; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 2 2014 Spline-based reservoir’s geometry reconstruction and mesh generation for coupled flow and mechanics simulation. Zbl 1392.86008Florez, Horacio; Manzanilla-Morillo, Raul; Florez, Jorge; Wheeler, Mary F. 2 2014 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235Mikelić, Andro; Wheeler, Mary F. 101 2013 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 27 2013 A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069Vohralík, Martin; Wheeler, Mary F. 21 2013 Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling. Zbl 1267.65165Pencheva, Gergina V.; Vohralík, Martin; Wheeler, Mary F.; Wildey, Tim 18 2013 On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity. Zbl 1297.74121Liu, Ruijie; Wheeler, Mary F.; Yotov, Ivan 10 2013 Boosting iterative stochastic ensemble method for nonlinear calibration of subsurface flow models. Zbl 1286.62079Elsheikh, 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 1382.76168Juntunen, Mika; Wheeler, Mary F. 5 2013 Multiscale modeling of flow and geomechanics. Zbl 1302.76174Ganis, Benjamin; Liu, Ruijie; Wang, Bin; Wheeler, Mary F.; Yotov, Ivan 4 2013 An iterative stochastic ensemble method for parameter estimation of subsurface flow models. Zbl 1426.76631Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim 4 2013 Reactive flow and reaction-induced boundary movement in a thin channel. Zbl 1292.76042Kumar, Kundan; Wheeler, Mary F.; Wick, Thomas 4 2013 Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R. 2 2013 A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100Wheeler, Mary; Xue, Guangri; Yotov, Ivan 45 2012 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 41 2012 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030Mikelić, Andro; Wheeler, Mary F. 21 2012 Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283Mikelić, Andro; Wheeler, Mary F. 14 2012 A frozen Jacobian multiscale mortar preconditioner for nonlinear interface operators. Zbl 1255.76132Ganis, Benjamin; Pencheva, Gergina; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan 8 2012 Local velocity postprocessing for multipoint flux method on general hexahedra. Zbl 1277.76048Wheeler, Mary; Xue, Guangri; Yotov, Ivan 2 2012 Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T. 16 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 1348.76101Thomas, Sunil G.; Wheeler, Mary F. 9 2011 A multiscale preconditioner for stochastic mortar mixed finite elements. Zbl 1225.76207Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan 8 2011 Benchmark 3D: a multipoint flux mixed finite element method on general hexahedra. Zbl 1246.76060Wheeler, Mary F.; Xue, Guangri; Yotov, Ivan 1 2011 A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan 32 2010 A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems. Zbl 1225.74096Liu, 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 1381.76333Barbeiro, Sílvia; Wheeler, Mary F. 6 2010 Efficient algorithms for multiscale modeling in porous media. Zbl 1240.76024Wheeler, Mary F.; Wildey, Tim; Xue, Guangri 3 2010 Modeling multiphase non-Newtonian polymer flow in IPARS parallel framework. Zbl 1263.76006Yuan, Changli; Delshad, Mojdeh; Wheeler, Mary F. 1 2010 Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017Phillips, Phillip Joseph; Wheeler, Mary F. 49 2009 Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method. Zbl 1229.76053Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. 22 2009 On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems. Zbl 1230.74189Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. 15 2009 Domain decomposition for linear elasticity with DG jumps and mortars. Zbl 1227.74069Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M. 7 2009 An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions. Zbl 1227.65085Wang, Kaixin; Wang, Hong; Sun, Shuyu; Wheeler, Mary F. 6 2009 A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048Phillips, Phillip Joseph; Wheeler, Mary F. 78 2008 Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035Girault, V.; Wheeler, M. F. 49 2008 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 28 2008 Stochastic collocation and mixed finite elements for flow in porous media. Zbl 1194.76242Ganis, Benjamin; Klie, Hector; Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan; Zhang, Dongxiao 22 2008 Mortar coupling and upscaling of pore-scale models. Zbl 1153.76421Balhoff, Matthew T.; Thomas, Sunil G.; Wheeler, Mary F. 13 2008 Discontinuous Galerkin methods. Zbl 1149.65323Girault, Vivette; Wheeler, Mary F. 6 2008 Mortar coupling of multiphase flow and reactive transport on non-matching grids. Zbl 1374.76181Wheeler, Mary F.; Pencheva, Gergina; Thomas, Sunil G. 2 2008 ...and 132 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,642 Authors 118 Wheeler, Mary Fanett 67 Rui, Hongxing 57 Sun, Shuyu 54 Chung, Tsz Shun Eric 48 Rivière, Beatrice M. 46 Chen, Yanping 39 Yotov, Ivan 37 Wick, Thomas 37 Yuan, Yirang 32 Radu, Florin Adrian 31 Nordbotten, Jan Martin 30 Antonietti, Paola Francesca 28 Efendiev, Yalchin R. 27 Dawson, Clint N. 27 Kou, Jisheng 26 Huang, Yunqing 26 Park, Eun-Jae 24 Li, Xiaoli 23 Baccouch, Mahboub 23 Kumar, Kundan 23 Vohralík, Martin 22 Chen, Zhangxin 22 Ewing, Richard Edward 22 Pop, Iuliu Sorin 21 Arbogast, Todd 20 Li, Changfeng 20 Pani, Amiya Kumar 20 Sun, Tongjun 20 Wang, Hong 20 Zhang, Zhimin 18 Cockburn, Bernardo 18 Di Pietro, Daniele Antonio 18 Girault, Vivette 18 Guo, Hui 18 Mikelić, Andro 18 Ruiz-Baier, Ricardo 17 Edwards, Michael G. 17 Fu, Shubin 17 Hughes, Thomas J. R. 17 Li, Jichun 17 Tchelepi, Hamdi A. 17 Zhang, Jiansong 16 Castelletto, Nicola 16 Douglas, Jim jun. 16 Lazarov, Raytcho D. 16 Lee, Sanghyun 16 Lin, Yanping 15 Bi, Chunjia 15 Chen, Chuanjun 15 Droniou, Jérôme 15 Houston, Paul 15 Yang, Danping 14 Dolejší, Vít 14 Hu, Xiaozhe 14 Li, Hong 14 Liu, Yang 14 Masson, Roland 14 Xu, Jinchao 14 Yang, Yang 13 Gudi, Thirupathi 13 He, Yinnian 13 Liu, Wei 13 Mazzieri, Ilario 13 Rodrigo, Carmen 13 Schötzau, Dominik 13 Wohlmuth, Barbara I. 13 Yang, Jiming 13 Zhao, Lina 12 Adjerid, Slimane 12 Gaspar, Francisco José 12 Leung, Wingtat 12 Manzini, Gianmarco 12 Shi, Dongyang 12 Sun, WaiChing 12 Tavener, Simon J. 12 Vasilyeva, Maria V. 12 Wang, Junping 11 Bause, Markus 11 Brenner, Konstantin 11 Brezzi, Franco 11 Chen, Huanzhen 11 Chen, Luoping 11 Ern, Alexandre 11 Galvis, Juan 11 Ganis, Benjamin 11 Ginting, Victor 11 Kumar, Sarvesh 11 Li, Zi-Cai 11 Lin, Tao 11 Loula, Abimael Fernando Dourado 11 Quarteroni, Alfio M. 11 Shashkov, Mikhail J. 11 Shu, Chi-Wang 11 Singh, Gurpreet 11 Wang, Fei 11 Xu, Da 11 Yang, Qing 10 Brenner, Susanne Cecelia 10 Feng, Xinlong 10 Hu, Hanzhang ...and 3,542 more Authors all top 5 Cited in 214 Serials 405 Computer Methods in Applied Mechanics and Engineering 238 Journal of Computational Physics 194 Journal of Computational and Applied Mathematics 171 Computational Geosciences 170 Journal of Scientific Computing 164 Computers & Mathematics with Applications 109 Mathematics of Computation 105 Numerische Mathematik 102 Applied Numerical Mathematics 100 Numerical Methods for Partial Differential Equations 83 Applied Mathematics and Computation 71 SIAM Journal on Scientific Computing 49 SIAM Journal on Numerical Analysis 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 M\(^3\)AS. 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