## Wheeler, Mary Fanett

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 Author ID: wheeler.mary-fanett Published as: Wheeler, Mary F.; Wheeler, M. F.; Wheeler, Mary Fanett; Wheeler, Mary; Wheeler, M. Homepage: http://users.ices.utexas.edu/~mfw/ External Links: Women in Mathematics · MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 252 Publications since 1964 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 168 Co-Authors with 249 Joint Publications 3,338 Co-Co-Authors
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### 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. 13 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 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 2 Sen, Mrinal K. 2 Shashkov, Mikhail J. 2 Tavakoli, Reza 2 Vassilevski, Yuri V. 2 Vohralík, Martin 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 1 Eigestad, Geir Terje 1 Eslinger, Owen ...and 69 more Co-Authors
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### Serials

 37 SIAM Journal on Numerical Analysis 37 Computational Geosciences 34 Computer Methods in Applied Mechanics and Engineering 15 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 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
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### Fields

 169 Numerical analysis (65-XX) 164 Fluid mechanics (76-XX) 74 Partial differential equations (35-XX) 45 Mechanics of deformable solids (74-XX) 39 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) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-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)

### Citations contained in zbMATH Open

229 Publications have been cited 6,002 times in 2,906 Documents Cited by Year
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
1978
A priori $$L_2$$ error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
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
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
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
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
1983
Compatible algorithms for coupled flow and transport. Zbl 1067.76565
Dawson, Clint; Sun, Shuyu; Wheeler, Mary F.
2004
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
1984
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
2007
A two-grid finite difference scheme for nonlinear parabolic equations. Zbl 0927.65107
Dawson, Clint N.; Wheeler, Mary F.; Woodward, Carol S.
1998
On convergence of block centered finite differences for elliptic problems. Zbl 0644.65062
Weiser, Alan; Wheeler, Mary Fanett
1988
A multipoint flux mixed finite element method. Zbl 1121.76040
Wheeler, Mary F.; Yotov, Ivan
2006
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.
2007
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
1983
Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235
Mikelić, Andro; Wheeler, Mary F.
2013
A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044
Arbogast, Todd; Wheeler, Mary F.
1995
Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043
Sun, Shuyu; Wheeler, Mary F.
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
1996
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.
2005
An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170
Wheeler, M. F.; Wick, T.; Wollner, W.
2014
Galerkin methods for miscible displacement problems in porous media. Zbl 0458.76092
Ewing, Richard E.; Wheeler, Mary Fanett
1980
A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048
Phillips, Phillip Joseph; Wheeler, Mary F.
2008
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
2015
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.
2007
Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan
2000
Some improved error estimates for the modified method of characteristics. Zbl 0693.65062
Dawson, C. N.; Russell, T. F.; Wheeler, M. F.
1989
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
2005
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
2015
Two-grid methods for mixed finite element approximations of nonlinear parabolic equations. Zbl 0817.65080
Dawson, Clint N.; Wheeler, Mary F.
1994
A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087
Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F.
1990
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098
Rivière, B.; Wheeler, M. F.
2003
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
2016
Enhanced cell-centered finite differences for elliptic equations on general geometry. Zbl 0947.65114
Arobogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan
1998
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
2008
Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017
Phillips, Phillip Joseph; Wheeler, Mary F.
2009
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.
2002
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
2003
Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039
Rivière, Béatrice; Wheeler, Mary F.
2003
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.
2007
A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2012
Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115
Mikelić, Andro; Wang, Bin; Wheeler, Mary F.
2014
Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010
Mikelić, A.; Wheeler, M. F.; Wick, Thomas
2015
A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078
Rivière, Béatrice; Wheeler, Mary F.
2000
A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056
Rivière, Béatrice; Wheeler, Mary F.
2002
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
2016
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
2012
Balancing domain decomposition for mixed finite elements. Zbl 0828.65135
Cowsar, Lawrence C.; Mandel, Jan; Wheeler, Mary F.
1995
Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105
Glowinski, Roland; Wheeler, Mary Fanett
1988
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
1974
Mortar upscaling for multiphase flow in porous media. Zbl 1056.76048
Peszyńska, Małgorzata; Wheeler, Mary F.; Yotov, Ivan
2002
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.
2005
Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565
Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof
2000
Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310
Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M.
2003
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.
2002
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
2015
Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089
Russell, Thomas F.; Wheeler, Mary Fanett
1983
A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225
Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan
2010
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.
2016
$$L^{2}(H^{1})$$ norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037
Sun, Shuyu; Wheeler, Mary F.
2005
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
2001
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.
1997
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.
1996
Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids. Zbl 0974.65106
Li, Jichun; Wheeler, Mary F.
2000
Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2014
Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075
Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan
2008
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107
Wheeler, M. F.; Whiteman, J. R.
1987
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.
2013
A $$C^ 1$$ finite element collocation method for elliptic equations. Zbl 0532.65076
Percell, Peter; Wheeler, Mary Fanett
1980
A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1989
A posteriori error estimates for the mortar mixed finite element method. Zbl 1094.65114
Wheeler, Mary F.; Yotov, Ivan
2005
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.
2006
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
2017
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048
Lee, Sanghyun; Wheeler, Mary F.
2017
Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096
Sun, Shuyu; Wheeler, Mary F.
2006
An optimal $$L_\infty$$ error estimate for Galerkin approximations to solutions of two point boundary value problems. Zbl 0266.65061
Wheeler, Mary Fanett
1973
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.
2009
A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
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
1974
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
2008
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069
Vohralík, Martin; Wheeler, Mary F.
2013
Projections of velocity data for the compatibility with transport. Zbl 1091.76041
Sun, Shuyu; Wheeler, Mary F.
2006
Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity. Zbl 1115.74054
Wheeler, Mary F.; Gai, Xiuli
2007
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
2018
$$L_\infty$$ estimates of optimal orders for Galerkin methods for one dimensional second order parabolic and hyperbolic equations. Zbl 0266.65074
Wheeler, Mary Fanett
1973
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.
2012
A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. Zbl 1091.76040
Sun, Shuyu; Wheeler, Mary F.
2006
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
2017
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.
2018
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
2013
A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047
Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun.
2005
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.
2007
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.
2016
A Galerkin procedure for estimating the flux for two-point boundary value problems. Zbl 0292.65046
Wheeler, Mary Fanett
1974
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
2005
Enhanced velocity mixed finite element methods for flow in multiblock domains. Zbl 1023.76023
Wheeler, John A.; Wheeler, Mary F.; Yotov, Ivan
2002
Multigrid on the interface for mortar mixed finite element methods for elliptic problems. Zbl 0970.76059
Wheeler, Mary F.; Yotov, Ivan
2000
Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456
Lee, Sanghyun; Wheeler, Mary F.
2018
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044
Kim, Mi-Young; Wheeler, Mary F.
2014
Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media. Zbl 1461.76008
Lee, Sanghyun; Wheeler, Mary F.
2021
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.
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
2020
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
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.
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
2020
Three-way coupling of multiphase flow and poromechanics in porous media. Zbl 1453.76080
Lu, Xueying; Wheeler, Mary F.
2020
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
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.
2020
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
Multiscale methods for model order reduction of non-linear multiphase flow problems. Zbl 1414.76088
Singh, Gurpreet; Leung, Wingtat; Wheeler, Mary F.
2019
Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396
van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2019
Adaptive numerical homogenization for upscaling single phase flow and transport. Zbl 1452.76080
Amanbek, Yerlan; Singh, Gurpreet; Wheeler, Mary F.; Van Duijn, Hans
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.
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.
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
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.
2019
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
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.
2018
Enriched Galerkin methods for two-phase flow in porous media with capillary pressure. Zbl 1415.76456
Lee, Sanghyun; Wheeler, Mary F.
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.
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.
2018
Convergence analysis of fixed stress split iterative scheme for anisotropic poroelasticity with tensor Biot parameter. Zbl 1406.65084
Dana, Saumik; Wheeler, Mary F.
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
2018
A space-time domain decomposition approach using enhanced velocity mixed finite element method. Zbl 1416.65333
Singh, Gurpreet; Wheeler, Mary F.
2018
An approximate Jacobian nonlinear solver for multiphase flow and transport. Zbl 1416.76126
Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F.
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
2017
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048
Lee, Sanghyun; Wheeler, Mary F.
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
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.
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.
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.
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
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
2016
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
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.
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.
2016
Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2016
Multirate undrained splitting for coupled flow and geomechanics in porous media. Zbl 1387.76100
Kumar, Kundan; Almani, Tameem; Singh, Gurpreet; Wheeler, Mary F.
2016
Compositional flow modeling using a multi-point flux mixed finite element method. Zbl 1395.65091
Singh, Gurpreet; Wheeler, Mary F.
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
2016
A mortar method based on NURBS for curved interfaces. Zbl 1439.74411
Florez, Horacio; Wheeler, Mary F.
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
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
2015
Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010
Mikelić, A.; Wheeler, M. F.; Wick, Thomas
2015
A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
2015
An augmented-Lagrangian method for the phase-field approach for pressurized fractures. Zbl 1296.65170
Wheeler, M. F.; Wick, T.; Wollner, W.
2014
Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115
Mikelić, Andro; Wang, Bin; Wheeler, Mary F.
2014
Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2014
A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044
Kim, Mi-Young; Wheeler, Mary F.
2014
Scalar products in generalized models with $$\mathrm{SU}(3)$$-symmetry. Zbl 1303.82014
Wheeler, M.
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
2014
Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. Zbl 1350.65109
Kim, Mi-Young; Wheeler, Mary F.
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
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
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.
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.
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
2014
Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235
Mikelić, Andro; Wheeler, Mary F.
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.
2013
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069
Vohralík, Martin; Wheeler, Mary F.
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
2013
On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity. Zbl 1297.74121
Liu, Ruijie; Wheeler, Mary F.; Yotov, Ivan
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
2013
Two-phase flow in complicated geometries, modeling the frio data using improved computational meshes. Zbl 1382.76168
Juntunen, Mika; Wheeler, Mary F.
2013
An iterative stochastic ensemble method for parameter estimation of subsurface flow models. Zbl 1426.76631
Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim
2013
Reactive flow and reaction-induced boundary movement in a thin channel. Zbl 1292.76042
Kumar, Kundan; Wheeler, Mary F.; Wick, Thomas
2013
Multiscale modeling of flow and geomechanics. Zbl 1302.76174
Ganis, Benjamin; Liu, Ruijie; Wang, Bin; Wheeler, Mary F.; Yotov, Ivan
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.
2013
A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. Zbl 1277.65100
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2012
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
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.
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.
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
2012
Local velocity postprocessing for multipoint flux method on general hexahedra. Zbl 1277.76048
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2012
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
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.
2011
A multiscale preconditioner for stochastic mortar mixed finite elements. Zbl 1225.76207
Wheeler, Mary F.; Wildey, Tim; Yotov, Ivan
2011
Benchmark 3D: a multipoint flux mixed finite element method on general hexahedra. Zbl 1246.76060
Wheeler, Mary F.; Xue, Guangri; Yotov, Ivan
2011
A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225
Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan
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.
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.
2010
Efficient algorithms for multiscale modeling in porous media. Zbl 1240.76024
Wheeler, Mary F.; Wildey, Tim; Xue, Guangri
2010
Modeling multiphase non-Newtonian polymer flow in IPARS parallel framework. Zbl 1263.76006
Yuan, Changli; Delshad, Mojdeh; Wheeler, Mary F.
2010
Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017
Phillips, Phillip Joseph; Wheeler, Mary F.
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.
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.
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.
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.
2009
A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048
Phillips, Phillip Joseph; Wheeler, Mary F.
2008
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
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
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
2008
Mortar coupling and upscaling of pore-scale models. Zbl 1153.76421
Balhoff, Matthew T.; Thomas, Sunil G.; Wheeler, Mary F.
2008
Discontinuous Galerkin methods. Zbl 1149.65323
Girault, Vivette; Wheeler, Mary F.
2008
Mortar coupling of multiphase flow and reactive transport on non-matching grids. Zbl 1374.76181
Wheeler, Mary F.; Pencheva, Gergina; Thomas, Sunil G.
2008
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
2007
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.
2007
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.
2007
...and 129 more Documents
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### Cited by 3,369 Authors

 116 Wheeler, Mary Fanett 63 Rui, Hongxing 54 Sun, Shuyu 49 Chung, Tsz Shun Eric 46 Rivière, Beatrice M. 43 Chen, Yanping 35 Yotov, Ivan 35 Yuan, Yirang 33 Wick, Thomas 32 Radu, Florin Adrian 31 Nordbotten, Jan Martin 27 Efendiev, Yalchin R. 26 Antonietti, Paola Francesca 26 Dawson, Clint N. 26 Huang, Yunqing 24 Kou, Jisheng 24 Park, Eun-Jae 22 Chen, Zhangxin 22 Ewing, Richard Edward 22 Kumar, Kundan 22 Li, Xiaoli 22 Vohralík, Martin 21 Baccouch, Mahboub 21 Pop, Iuliu Sorin 20 Arbogast, Todd 20 Sun, Tongjun 20 Wang, Hong 20 Zhang, Zhimin 19 Pani, Amiya Kumar 18 Cockburn, Bernardo 18 Di Pietro, Daniele Antonio 18 Li, Changfeng 17 Edwards, Michael G. 17 Girault, Vivette 17 Hughes, Thomas J. R. 17 Li, Jichun 17 Mikelić, Andro 17 Tchelepi, Hamdi A. 16 Castelletto, Nicola 16 Douglas, Jim jun. 16 Lazarov, Raytcho D. 16 Zhang, Jiansong 15 Bi, Chunjia 15 Droniou, Jérôme 15 Guo, Hui 15 Lee, Sanghyun 15 Lin, Yanping 15 Ruiz-Baier, Ricardo 15 Yang, Danping 14 Dolejší, Vít 14 Li, Hong 14 Liu, Yang 14 Xu, Jinchao 13 Chen, Chuanjun 13 Fu, Shubin 13 Gudi, Thirupathi 13 Houston, Paul 13 Hu, Xiaozhe 13 Masson, Roland 13 Rodrigo, Carmen 13 Schötzau, Dominik 13 Wohlmuth, Barbara I. 12 Adjerid, Slimane 12 Gaspar, Francisco José 12 He, Yinnian 12 Sun, WaiChing 12 Tavener, Simon J. 12 Yang, Jiming 12 Yang, Yang 11 Brenner, Konstantin 11 Brezzi, Franco 11 Chen, Huanzhen 11 Ern, Alexandre 11 Ganis, Benjamin 11 Ginting, Victor 11 Li, Zi-Cai 11 Lin, Tao 11 Loula, Abimael Fernando Dourado 11 Manzini, Gianmarco 11 Shashkov, Mikhail J. 11 Shi, Dongyang 11 Singh, Gurpreet 11 Vasilyeva, Maria V. 11 Wang, Junping 11 Yang, Qing 10 Bause, Markus 10 Brenner, Susanne Cecelia 10 Galvis, Juan 10 Kumar, Sarvesh 10 Lee, Jeonghun J. 10 Liang, Dong 10 Lipnikov, Konstantin N. 10 Liu, Hailiang 10 Liu, Wei 10 Marini, Luisa Donatella 10 Mazzieri, Ilario 10 Oden, John Tinsley 10 Quarteroni, Alfio M. 10 Shu, Chi-Wang 10 Sun, Weiwei ...and 3,269 more Authors
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### Cited in 205 Serials

 382 Computer Methods in Applied Mechanics and Engineering 208 Journal of Computational Physics 184 Journal of Computational and Applied Mathematics 165 Computational Geosciences 158 Journal of Scientific Computing 149 Computers & Mathematics with Applications 105 Mathematics of Computation 104 Numerische Mathematik 100 Numerical Methods for Partial Differential Equations 98 Applied Numerical Mathematics 82 Applied Mathematics and Computation 63 SIAM Journal on Scientific Computing 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 48 SIAM Journal on Numerical Analysis 41 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Numerical Algorithms 26 Computers and Fluids 26 Mathematics and Computers in Simulation 26 Computational Mechanics 22 International Journal for Numerical Methods in Engineering 22 Advances in Applied Mathematics and Mechanics 21 International Journal for Numerical Methods in Fluids 21 Applied Mathematical Modelling 21 Advances in Computational Mathematics 20 Communications in Computational Physics 18 Applications of Mathematics 17 Calcolo 17 RAIRO. Modélisation Mathématique et Analyse Numérique 17 Engineering Analysis with Boundary Elements 17 Multiscale Modeling & Simulation 17 International Journal of Numerical Analysis and Modeling 15 Applicable Analysis 14 Journal of Mathematical Analysis and Applications 14 Science China. Mathematics 13 Numerical Functional Analysis and Optimization 13 International Journal of Computer Mathematics 12 Mathematical Methods in the Applied Sciences 12 Computational and Applied Mathematics 12 GEM - International Journal on Geomathematics 11 BIT 11 Abstract and Applied Analysis 11 Computational Methods in Applied Mathematics 10 Acta Mathematicae Applicatae Sinica. English Series 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 9 Journal of Numerical Mathematics 9 Journal of Applied Mathematics and Computing 8 Computing 8 Archives of Computational Methods in Engineering 7 Applied Mathematics Letters 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 International Journal of Computational Methods 6 RAIRO. Analyse Numérique 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical Problems in Engineering 6 International Journal of Computational Fluid Dynamics 6 Boundary Value Problems 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Journal of the Mechanics and Physics of Solids 5 Journal of Differential Equations 5 Japan Journal of Industrial and Applied Mathematics 5 Computing and Visualization in Science 5 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Difference Equations 5 Journal of Theoretical Biology 5 Results in Applied Mathematics 4 Archive for Rational Mechanics and Analysis 4 International Journal of Engineering Science 4 Journal of Fluid Mechanics 4 Journal of Mathematical Biology 4 Journal of Optimization Theory and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Acta Applicandae Mathematicae 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 S$$\vec{\text{e}}$$MA Journal 4 Communications on Applied Mathematics and Computation 4 Electronic Research Archive 3 Bulletin of Mathematical Biology 3 Meccanica 3 Systems & Control Letters 3 Mathematical and Computer Modelling 3 ETNA. Electronic Transactions on Numerical Analysis 3 Discrete Dynamics in Nature and Society 3 European Journal of Mechanics. A. Solids 3 Mathematical Modelling and Analysis 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Biosciences and Engineering 3 GAMM-Mitteilungen 3 Mathematical Geosciences 3 Advances in Mathematical Physics 3 Advances in Numerical Analysis 3 Mathematical Control and Related Fields 3 Journal of the Korean Society for Industrial and Applied Mathematics ...and 105 more Serials
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### Cited in 38 Fields

 2,248 Numerical analysis (65-XX) 1,262 Fluid mechanics (76-XX) 1,105 Partial differential equations (35-XX) 560 Mechanics of deformable solids (74-XX) 165 Geophysics (86-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 77 Biology and other natural sciences (92-XX) 52 Classical thermodynamics, heat transfer (80-XX) 44 Integral equations (45-XX) 43 Optics, electromagnetic theory (78-XX) 36 Statistical mechanics, structure of matter (82-XX) 28 Ordinary differential equations (34-XX) 27 Systems theory; control (93-XX) 26 Probability theory and stochastic processes (60-XX) 25 Operations research, mathematical programming (90-XX) 22 Statistics (62-XX) 19 Computer science (68-XX) 15 Real functions (26-XX) 8 Operator theory (47-XX) 7 Potential theory (31-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)

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