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## Wheeler, Mary Fanett

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 Author ID: wheeler.mary-fanett Published as: Wheeler, M.; Wheeler, M. F.; Wheeler, Mary; Wheeler, Mary F.; Wheeler, Mary Fanett Homepage: http://users.ices.utexas.edu/~mfw/ External Links: Women in Mathematics · MGP · Wikidata · dblp · GND
 Documents Indexed: 259 Publications since 1964, including 9 Books Biographic References: 1 Publication
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#### Co-Authors

 12 single-authored 33 Yotov, Ivan 23 Dawson, Clint N. 18 Sun, Shuyu 17 Wick, Thomas 16 Rivière, Beatrice M. 14 Arbogast, Todd 14 Douglas, Jim jun. 13 Pencheva, Gergina V. 12 Girault, Vivette 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 Glowinski, Roland 5 Kendall, Richard P. 5 Obeyesekere, Mandri N. 5 Russell, Thomas F. 4 Almani, Tameem 4 Dana, Saumik 4 Darlow, Bruce L. 4 Fitzgibbon, William Edward 4 Klie, Hector M. 4 Phillips, Phillip Joseph 3 Amanbek, Yerlan 3 Elsheikh, Ahmed H. 3 Hoteit, Ibrahim 3 Juntunen, Mika 3 Kim, Mi-Young 3 Kinton, Wendy A. 3 Leung, Wingtat 3 Martinez, María L. 3 Peszyńska, Małgorzata 3 Ramaswamy, Balasubramaniam 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 Efendiev, Yalchin R. 2 Florez, Horacio 2 Gonzalez, Ruth 2 Jenkins, Eleanor W. 2 Keenan, Philip T. 2 Lacroix, Sébastien 2 Lipnikov, Konstantin N. 2 Mear, Mark E. 2 Min, Baehyun 2 Nakata, Mie 2 Patrick, Charles jun. 2 Patrick, Charles W. 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 Bryant, Steven Jerome 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 ...and 79 more Co-Authors
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#### Serials

 37 SIAM Journal on Numerical Analysis 36 Computational Geosciences 33 Computer Methods in Applied Mechanics and Engineering 14 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 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
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#### Fields

 169 Numerical analysis (65-XX) 162 Fluid mechanics (76-XX) 74 Partial differential equations (35-XX) 44 Mechanics of deformable solids (74-XX) 38 Geophysics (86-XX) 9 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 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

221 Publications have been cited 5,422 times in 2,619 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
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 two-grid finite difference scheme for nonlinear parabolic equations. Zbl 0927.65107
Dawson, Clint N.; Wheeler, Mary F.; Woodward, Carol S.
1998
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
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 characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044
Arbogast, Todd; Wheeler, Mary F.
1995
Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235
Mikelić, Andro; Wheeler, Mary F.
2013
Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043
Sun, Shuyu; Wheeler, Mary F.
2005
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
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
Galerkin methods for miscible displacement problems in porous media. Zbl 0458.76092
Ewing, Richard E.; Wheeler, Mary Fanett
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.
2007
A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity. Zbl 1155.74048
Phillips, Phillip Joseph; Wheeler, Mary F.
2008
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; 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
Some improved error estimates for the modified method of characteristics. Zbl 0693.65062
Dawson, C. N.; Russell, T. F.; Wheeler, M. F.
1989
Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan
2000
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 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
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098
Rivière, B.; Wheeler, M. F.
2003
Two-grid methods for mixed finite element approximations of nonlinear parabolic equations. Zbl 0817.65080
Dawson, Clint N.; Wheeler, Mary F.
1994
Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105
Glowinski, Roland; Wheeler, Mary Fanett
1988
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
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 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
A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078
Rivière, Béatrice; Wheeler, Mary F.
2000
Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089
Russell, Thomas F.; Wheeler, Mary Fanett
1983
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
Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach. Zbl 1172.74017
Phillips, Phillip Joseph; Wheeler, Mary F.
2009
Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115
Mikelić, Andro; Wang, Bin; Wheeler, Mary F.
2014
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
2008
Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039
Rivière, Béatrice; Wheeler, Mary 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
Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010
Mikelić, A.; Wheeler, M. F.; Wick, Thomas
2015
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 Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056
Rivière, Béatrice; Wheeler, Mary F.
2002
A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
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
Balancing domain decomposition for mixed finite elements. Zbl 0828.65135
Cowsar, Lawrence C.; Mandel, Jan; Wheeler, Mary F.
1995
Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565
Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof
2000
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
2016
Iterative solution methods for modeling multiphase flow in porous media fully implicitly. Zbl 1163.65310
Lacroix, S.; Vassilevski, Yu.; Wheeler, J.; Wheeler, M.
2003
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
$$L^{2}(H^{1})$$ norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037
Sun, Shuyu; Wheeler, Mary F.
2005
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
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
2012
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107
Wheeler, M. F.; Whiteman, J. R.
1987
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
A multipoint flux mixed finite element method on hexahedra. Zbl 1228.65225
Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan
2010
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
Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids. Zbl 0974.65106
Li, Jichun; Wheeler, Mary F.
2000
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
Mortar upscaling for multiphase flow in porous media. Zbl 1056.76048
Peszyńska, Małgorzata; Wheeler, Mary F.; Yotov, Ivan
2002
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 $$C^ 1$$ finite element collocation method for elliptic equations. Zbl 0532.65076
Percell, Peter; Wheeler, Mary Fanett
1980
A posteriori error estimates for the mortar mixed finite element method. Zbl 1094.65114
Wheeler, Mary F.; Yotov, Ivan
2005
A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1989
An optimal $$L_\infty$$ error estimate for Galerkin approximations to solutions of two point boundary value problems. Zbl 0266.65061
Wheeler, Mary Fanett
1973
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048
Lee, Sanghyun; Wheeler, Mary F.
2017
Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. Zbl 1395.65093
Wheeler, Mary; Xue, Guangri; Yotov, Ivan
2014
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
Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096
Sun, Shuyu; Wheeler, Mary F.
2006
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
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 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
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
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 quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Zbl 1393.76069
Vohralík, Martin; Wheeler, Mary F.
2013
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
Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity. Zbl 1115.74054
Wheeler, Mary F.; Gai, Xiuli
2007
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
A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047
Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun.
2005
Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176
Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice
2003
Projections of velocity data for the compatibility with transport. Zbl 1091.76041
Sun, Shuyu; Wheeler, Mary F.
2006
A Galerkin procedure for estimating the flux for two-point boundary value problems. Zbl 0292.65046
Wheeler, Mary Fanett
1974
$$L_\infty$$ estimates of optimal orders for Galerkin methods for one dimensional second order parabolic and hyperbolic equations. Zbl 0266.65074
Wheeler, Mary Fanett
1973
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
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
Enhanced velocity mixed finite element methods for flow in multiblock domains. Zbl 1023.76023
Wheeler, John A.; Wheeler, Mary F.; Yotov, Ivan
2002
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
Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1990
Scalar products in generalized models with $$\mathrm{SU}(3)$$-symmetry. Zbl 1303.82014
Wheeler, M.
2014
Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053
Rivière, Béatrice; Wheeler, Mary F.
2002
Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Zbl 0849.73073
Shaw, S.; Warby, M. K.; Whiteman, J. R.; Dawnson, C.; Wheeler, M. F.
1994
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Zbl 0706.65108
Wheeler, M. F.; Whiteman, J. R.
1987
A local residual finite element procedure for elliptic equations. Zbl 0396.65067
Percell, Peter; Wheeler, Mary Fanett
1978
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
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
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
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
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
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 priori error analysis for transient problems using enhanced velocity approach in the discrete-time setting. Zbl 1458.76062
Amanbek, Yerlan; 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
Multiscale methods for model order reduction of non-linear multiphase flow problems. Zbl 1414.76088
Singh, Gurpreet; Leung, Wingtat; Wheeler, Mary F.
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
An approximate Jacobian nonlinear solver for multiphase flow and transport. Zbl 1416.76126
Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F.
2018
A space-time domain decomposition approach using enhanced velocity mixed finite element method. Zbl 1416.65333
Singh, Gurpreet; Wheeler, Mary F.
2018
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. Zbl 1378.76048
Lee, Sanghyun; Wheeler, Mary F.
2017
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
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
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
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
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
Compositional flow modeling using a multi-point flux mixed finite element method. Zbl 1395.65091
Singh, Gurpreet; Wheeler, Mary F.
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
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 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
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
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
Scalar products in generalized models with $$\mathrm{SU}(3)$$-symmetry. Zbl 1303.82014
Wheeler, M.
2014
A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. Zbl 1361.35044
Kim, Mi-Young; Wheeler, Mary F.
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
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
Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. Zbl 1350.65109
Kim, Mi-Young; Wheeler, Mary F.
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
Multiscale modeling of flow and geomechanics. Zbl 1302.76174
Ganis, Benjamin; Liu, Ruijie; Wang, Bin; Wheeler, Mary F.; Yotov, Ivan
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
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. 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
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
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
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
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
Iteratively coupled mixed and Galerkin finite element methods for poro-elasticity. Zbl 1115.74054
Wheeler, Mary F.; Gai, Xiuli
2007
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
Superconvergence for control-volume mixed finite element methods on rectangular grids. Zbl 1160.65055
Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan
2007
Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport. Zbl 1117.76061
Sun, Shuyu; Wheeler, Mary F.
2007
A multipoint flux mixed finite element method. Zbl 1121.76040
Wheeler, Mary F.; Yotov, Ivan
2006
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
Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096
Sun, Shuyu; Wheeler, Mary F.
2006
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
...and 121 more Documents
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#### Cited by 3,233 Authors

 114 Wheeler, Mary Fanett 60 Rui, Hongxing 52 Sun, Shuyu 41 Rivière, Beatrice M. 34 Chen, Yanping 34 Chung, Tsz Shun Eric 32 Yotov, Ivan 31 Yuan, Yirang 28 Nordbotten, Jan Martin 28 Radu, Florin Adrian 27 Wick, Thomas 25 Dawson, Clint N. 24 Efendiev, Yalchin R. 23 Ewing, Richard Edward 23 Kou, Jisheng 22 Antonietti, Paola Francesca 22 Huang, Yunqing 22 Vohralík, Martin 21 Baccouch, Mahboub 21 Park, Eun-Jae 20 Arbogast, Todd 20 Chen, Zhangxin 20 Kumar, Kundan 20 Li, Xiaoli 20 Wang, Hong 19 Li, Jichun 19 Zhang, Zhimin 18 Cockburn, Bernardo 18 Di Pietro, Daniele Antonio 18 Edwards, Michael G. 18 Mikelić, Andro 18 Pani, Amiya Kumar 17 Guo, Hui 17 Hughes, Thomas J. R. 17 Lin, Yanping 16 Douglas, Jim jun. 15 Bi, Chunjia 15 Lazarov, Raytcho D. 15 Pop, Iuliu Sorin 15 Sun, Tongjun 15 Tchelepi, Hamdi A. 14 Dolejší, Vít 14 Girault, Vivette 14 Li, Changfeng 14 Li, Hong 14 Liu, Yang 14 Ruiz-Baier, Ricardo 14 Zhang, Jiansong 13 Hu, Xiaozhe 13 Lee, Sanghyun 13 Rodrigo, Carmen 13 Schötzau, Dominik 13 Wohlmuth, Barbara I. 13 Yang, Danping 12 Chen, Huanzhen 12 Gaspar, Francisco José 12 Gudi, Thirupathi 12 Tavener, Simon J. 12 Wang, Junping 11 Adjerid, Slimane 11 Brezzi, Franco 11 Castelletto, Nicola 11 Chen, Chuanjun 11 Ganis, Benjamin 11 He, Yinnian 11 Houston, Paul 11 Li, Zi-Cai 11 Lipnikov, Konstantin N. 11 Liu, Wei 11 Loula, Abimael Fernando Dourado 11 Oden, John Tinsley 11 Shashkov, Mikhail J. 11 Singh, Gurpreet 11 Yang, Jiming 10 Babuška, Ivo 10 Brenner, Susanne Cecelia 10 Droniou, Jérôme 10 Ferreira, José Augusto 10 Galvis, Juan 10 Ginting, Victor 10 Kumar, Sarvesh 10 Lin, Tao 10 Marini, Luisa Donatella 10 Shi, Dongyang 10 Shu, Chi-Wang 10 Sun, WaiChing 10 Winther, Ragnar 10 Xu, Jinchao 9 Beirão da Veiga, Lourenço 9 Dupont, Todd F. 9 Larson, Mats G. 9 Manzini, Gianmarco 9 Pal, Mayur 9 Pencheva, Gergina V. 9 Quarteroni, Alfio M. 9 Scovazzi, Guglielmo 9 Sun, Pengtao 9 Wihler, Thomas Pascal 9 Wildey, Tim M. 9 Yang, Qing ...and 3,133 more Authors
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#### Cited in 194 Serials

 343 Computer Methods in Applied Mechanics and Engineering 189 Journal of Computational Physics 176 Journal of Computational and Applied Mathematics 149 Computational Geosciences 143 Journal of Scientific Computing 138 Computers & Mathematics with Applications 103 Mathematics of Computation 101 Numerische Mathematik 100 Numerical Methods for Partial Differential Equations 98 Applied Numerical Mathematics 77 Applied Mathematics and Computation 51 SIAM Journal on Scientific Computing 44 SIAM Journal on Numerical Analysis 41 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 39 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Numerical Algorithms 22 Computers and Fluids 22 International Journal for Numerical Methods in Engineering 22 Applied Mathematical Modelling 21 International Journal for Numerical Methods in Fluids 20 Mathematics and Computers in Simulation 20 Computational Mechanics 19 Advances in Computational Mathematics 19 Multiscale Modeling & Simulation 17 RAIRO. Modélisation Mathématique et Analyse Numérique 17 Applications of Mathematics 17 Engineering Analysis with Boundary Elements 16 Calcolo 15 Journal of Mathematical Analysis and Applications 12 Applicable Analysis 12 Mathematical Methods in the Applied Sciences 12 Numerical Functional Analysis and Optimization 12 Science China. Mathematics 11 Abstract and Applied Analysis 11 GEM - International Journal on Geomathematics 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 International Journal of Computer Mathematics 9 Computational and 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 BIT 8 Computing 8 Archives of Computational Methods in Engineering 8 Computational Methods in Applied Mathematics 7 Nuclear Physics. B 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 Journal of Theoretical Biology 5 International Journal of Engineering Science 5 Computing and Visualization in Science 5 International Journal of Computational Fluid Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 5 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Results in Applied Mathematics 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Biology 4 Journal of Differential Equations 4 Journal of Optimization Theory and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Acta Applicandae Mathematicae 4 Japan Journal of Industrial and Applied Mathematics 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 Advances in Difference Equations 4 S$$\vec{\text{e}}$$MA Journal 3 Journal of Fluid Mechanics 3 Journal of the Mechanics and Physics of Solids 3 Bulletin of Mathematical Biology 3 Meccanica 3 Mathematical and Computer Modelling 3 ETNA. Electronic Transactions on Numerical Analysis 3 Discrete Dynamics in Nature and Society 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Biosciences and Engineering 3 Boundary Value Problems 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 3 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 3 East Asian Journal on Applied Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Electronic Research Archive 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Engineering Mathematics 2 Mathematical Biosciences ...and 94 more Serials
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#### Cited in 42 Fields

 2,041 Numerical analysis (65-XX) 1,092 Fluid mechanics (76-XX) 1,026 Partial differential equations (35-XX) 478 Mechanics of deformable solids (74-XX) 141 Geophysics (86-XX) 73 Biology and other natural sciences (92-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 47 Classical thermodynamics, heat transfer (80-XX) 44 Integral equations (45-XX) 43 Optics, electromagnetic theory (78-XX) 41 Statistical mechanics, structure of matter (82-XX) 25 Ordinary differential equations (34-XX) 23 Systems theory; control (93-XX) 22 Probability theory and stochastic processes (60-XX) 17 Statistics (62-XX) 15 Quantum theory (81-XX) 15 Operations research, mathematical programming (90-XX) 14 Real functions (26-XX) 11 Computer science (68-XX) 7 Potential theory (31-XX) 6 Operator theory (47-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

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