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## Arbogast, Todd

Compute Distance To:
 Author ID: arbogast.todd Published as: Arbogast, T.; Arbogast, Todd; Arobogast, Todd External Links: ORCID
 Documents Indexed: 65 Publications since 1988
all top 5

#### Co-Authors

 10 single-authored 14 Huang, Chieh-Sen 14 Wheeler, Mary Fanett 6 Yotov, Ivan 5 Dawson, Clint N. 4 Douglas, Jim jun. 3 Hung, Chen-Hui 3 Taicher, Abraham L. 3 Tao, Zhen 3 Xiao, Hailong 3 Zhao, Xikai 2 Correa, Maicon R. 2 Estep, Donald J. 2 Hornung, Ulrich 2 Keenan, Philip T. 2 Saaf, Fredrik 2 Sheehan, Bernard N. 2 Tavener, Simon J. 2 Wang, Chong 2 Wang, Wenhao 1 Boyd, Kirsten J. 1 Brunson, Dana S. 1 Bryant, Steve 1 Bryant, Steven Jerome 1 Bui-Thanh, Tan 1 Chen, Zhangxin 1 Cowsar, Lawrence C. 1 Gomez, Mario San Martin 1 Hensley, Jeffrey L. jun. 1 Hesse, Marc Andre 1 Huang, Yunqing 1 Juntunen, Mika 1 Kang, Shinhoo 1 King, Danielle N. 1 Lehr, Heather L. 1 Li, Jichun 1 Loula, Abimael Fernando Dourado 1 Milner, Fabio Augusto 1 Obeyesekere, Mandri N. 1 Pencheva, Gergina V. 1 Pool, Jamie 1 Qiu, Jianxian 1 Quinelato, Thiago O. 1 Russell, Thomas F. 1 Santos, Juan Enrique 1 Xiao, Feng 1 Yang, Song-Ming 1 Zhang, Naiying
all top 5

#### Serials

 15 SIAM Journal on Numerical Analysis 7 Computer Methods in Applied Mechanics and Engineering 7 Computational Geosciences 6 SIAM Journal on Scientific Computing 5 Journal of Computational Physics 2 Journal of Scientific Computing 2 Multiscale Modeling & Simulation 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 48 Numerical analysis (65-XX) 41 Fluid mechanics (76-XX) 34 Partial differential equations (35-XX) 9 Geophysics (86-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

56 Publications have been cited 1,430 times in 1,037 Documents Cited by Year
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
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
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
2007
A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044
Arbogast, Todd; Wheeler, Mary F.
1995
A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Zbl 1186.76660
Arbogast, Todd; Brunson, Dana S.
2007
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
On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127
Arbogast, Todd; Chen, Zhangxin
1995
Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems. Zbl 1078.65092
Arbogast, Todd
2004
Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow. Zbl 1094.76532
Arbogast, Todd
2002
Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan
2000
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
Homogenization of a Darcy-Stokes system modeling vuggy porous media. Zbl 1197.76122
Arbogast, Todd; Lehr, Heather L.
2006
Subgrid upscaling and mixed multiscale finite elements. Zbl 1120.65122
Arbogast, Todd; Boyd, Kirsten J.
2006
The existence of weak solutions to single porosity and simple dual- porosity models of two-phase incompressible flow. Zbl 0783.76090
Arbogast, Todd
1992
Numerical subgrid upscaling of two-phase flow in porous media. Zbl 1072.76560
Arbogast, Todd
2000
A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. Zbl 1338.76047
Arbogast, Todd; Gomez, Mario San Martin
2009
A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016
Arbogast, Todd; Milner, Fabio A.
1989
Two families of $$H(\operatorname{div})$$ mixed finite elements on quadrilaterals of minimal dimension. Zbl 1353.65118
Arbogast, Todd; Correa, Maicon R.
2016
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 fully mass and volume conserving implementation of a characteristic method for transport problems. Zbl 1293.76097
Arbogast, Todd; Huang, Chieh-Sen
2006
Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110
Arbogast, T.; Douglas, J. jun.; Hornung, U.
1991
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083
Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian
2012
A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. Zbl 0923.76100
Arbogast, Todd; Yotov, Ivan
1997
A family of rectangular mixed elements with a continuous flux for second order elliptic problems. Zbl 1081.65106
Arbogast, Todd; Wheeler, Mary F.
2005
Numerical methods for the simulation of flow in root-soil systems. Zbl 0792.76103
Arbogast, Todd; Obeyesekere, Mandri; Wheeler, Mary F.
1993
A multiscale mortar mixed space based on homogenization for heterogeneous elliptic problems. Zbl 1267.65192
Arbogast, Todd; Xiao, Hailong
2013
Convergence of a fully conservative volume corrected characteristic method for transport problems. Zbl 1215.35102
Arbogast, Todd; Wang, Wen-Hao
2010
Mixed methods using standard conforming finite elements. Zbl 1229.76052
Li, Jichun; Arbogast, Todd; Huang, Yunqing
2009
Analysis of the simulation of single phase flow through a naturally fractured reservoir. Zbl 0668.76130
Arbogast, Todd
1989
Mixed multiscale methods for heterogeneous elliptic problems. Zbl 1248.65119
Arbogast, Todd
2012
A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516
Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd
1991
Accuracy of WENO and adaptive order WENO reconstructions for solving conservation laws. Zbl 1394.65068
Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai
2018
A linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1457.65177
Arbogast, Todd; Taicher, Abraham L.
2016
Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity. Zbl 1383.76330
Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L.
2017
Homogenization-based mixed multiscale finite elements for problems with anisotropy. Zbl 1228.65219
Arbogast, Todd
2011
A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures. Zbl 1396.76065
Arbogast, Todd; Taicher, Abraham L.
2017
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. Zbl 1354.65166
Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui
2016
Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. Zbl 1425.65042
Arbogast, Todd; Xiao, Hailong
2015
A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. Zbl 1322.65093
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S.
2015
Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. Zbl 1236.65119
Arbogast, Todd; Wang, Wen-Hao
2011
A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. Zbl 1188.65135
Arbogast, Todd; Huang, Chieh-Sen
2010
Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation. Zbl 0866.76041
Arbogast, Todd; Bryant, Steve; Dawson, Clint; Saaf, Fredrik; Wang, Chong; Wheeler, Mary
1996
Construction of $$H({\operatorname{div}})$$-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031
Arbogast, Todd; Tao, Zhen
2019
An Eulerian-Lagrangian weighted essentially nonoscillatory scheme for nonlinear conservation laws. Zbl 1367.65124
Huang, Chieh-Sen; Arbogast, Todd
2017
Fifth order multi-moment WENO schemes for hyperbolic conservation laws. Zbl 1325.65123
Huang, Chieh-Sen; Xiao, Feng; Arbogast, Todd
2015
A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching. Zbl 1303.65093
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S.
2014
Multiscale mortar mixed methods for heterogeneous elliptic problems. Zbl 1280.65136
Arbogast, Todd; Tao, Zhen; Xiao, Hailong
2013
Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements. Zbl 1146.65068
Arbogast, Todd; Huang, Chieh-Sen; Yang, Song-Ming
2007
An overview of subgrid upscaling for elliptic problems in mixed form. Zbl 1040.65093
Arbogast, Todd
2003
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. Zbl 1349.65303
Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui
2014
A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135
Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F.
2012
A parallel numerical model for subsurface contaminant transport with biodegradation kinetics. Zbl 0828.76047
Arbogast, Todd; Wheeler, Mary F.
1994
The double porosity model for single phase flow in naturally fractured reservoirs. Zbl 0701.76094
Arbogast, Todd
1988
Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103
Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E.
1988
On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir. Zbl 0668.76131
Arbogast, Todd
1989
The application of mixed methods to subsurface simulation. Zbl 0898.76052
Arbogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan
1997
Construction of $$H({\operatorname{div}})$$-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031
Arbogast, Todd; Tao, Zhen
2019
Accuracy of WENO and adaptive order WENO reconstructions for solving conservation laws. Zbl 1394.65068
Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai
2018
Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity. Zbl 1383.76330
Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L.
2017
A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures. Zbl 1396.76065
Arbogast, Todd; Taicher, Abraham L.
2017
An Eulerian-Lagrangian weighted essentially nonoscillatory scheme for nonlinear conservation laws. Zbl 1367.65124
Huang, Chieh-Sen; Arbogast, Todd
2017
Two families of $$H(\operatorname{div})$$ mixed finite elements on quadrilaterals of minimal dimension. Zbl 1353.65118
Arbogast, Todd; Correa, Maicon R.
2016
A linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1457.65177
Arbogast, Todd; Taicher, Abraham L.
2016
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. Zbl 1354.65166
Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui
2016
Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. Zbl 1425.65042
Arbogast, Todd; Xiao, Hailong
2015
A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. Zbl 1322.65093
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S.
2015
Fifth order multi-moment WENO schemes for hyperbolic conservation laws. Zbl 1325.65123
Huang, Chieh-Sen; Xiao, Feng; Arbogast, Todd
2015
A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching. Zbl 1303.65093
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S.
2014
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. Zbl 1349.65303
Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui
2014
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 multiscale mortar mixed space based on homogenization for heterogeneous elliptic problems. Zbl 1267.65192
Arbogast, Todd; Xiao, Hailong
2013
Multiscale mortar mixed methods for heterogeneous elliptic problems. Zbl 1280.65136
Arbogast, Todd; Tao, Zhen; Xiao, Hailong
2013
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083
Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian
2012
Mixed multiscale methods for heterogeneous elliptic problems. Zbl 1248.65119
Arbogast, Todd
2012
A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135
Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F.
2012
Homogenization-based mixed multiscale finite elements for problems with anisotropy. Zbl 1228.65219
Arbogast, Todd
2011
Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. Zbl 1236.65119
Arbogast, Todd; Wang, Wen-Hao
2011
Convergence of a fully conservative volume corrected characteristic method for transport problems. Zbl 1215.35102
Arbogast, Todd; Wang, Wen-Hao
2010
A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. Zbl 1188.65135
Arbogast, Todd; Huang, Chieh-Sen
2010
A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. Zbl 1338.76047
Arbogast, Todd; Gomez, Mario San Martin
2009
Mixed methods using standard conforming finite elements. Zbl 1229.76052
Li, Jichun; Arbogast, Todd; Huang, Yunqing
2009
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
2007
A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Zbl 1186.76660
Arbogast, Todd; Brunson, Dana S.
2007
Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements. Zbl 1146.65068
Arbogast, Todd; Huang, Chieh-Sen; Yang, Song-Ming
2007
Homogenization of a Darcy-Stokes system modeling vuggy porous media. Zbl 1197.76122
Arbogast, Todd; Lehr, Heather L.
2006
Subgrid upscaling and mixed multiscale finite elements. Zbl 1120.65122
Arbogast, Todd; Boyd, Kirsten J.
2006
A fully mass and volume conserving implementation of a characteristic method for transport problems. Zbl 1293.76097
Arbogast, Todd; Huang, Chieh-Sen
2006
A family of rectangular mixed elements with a continuous flux for second order elliptic problems. Zbl 1081.65106
Arbogast, Todd; Wheeler, Mary F.
2005
Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems. Zbl 1078.65092
Arbogast, Todd
2004
An overview of subgrid upscaling for elliptic problems in mixed form. Zbl 1040.65093
Arbogast, Todd
2003
Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow. Zbl 1094.76532
Arbogast, Todd
2002
Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan
2000
Numerical subgrid upscaling of two-phase flow in porous media. Zbl 1072.76560
Arbogast, Todd
2000
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
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
A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. Zbl 0923.76100
Arbogast, Todd; Yotov, Ivan
1997
The application of mixed methods to subsurface simulation. Zbl 0898.76052
Arbogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan
1997
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
Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation. Zbl 0866.76041
Arbogast, Todd; Bryant, Steve; Dawson, Clint; Saaf, Fredrik; Wang, Chong; Wheeler, Mary
1996
A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044
Arbogast, Todd; Wheeler, Mary F.
1995
On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127
Arbogast, Todd; Chen, Zhangxin
1995
A parallel numerical model for subsurface contaminant transport with biodegradation kinetics. Zbl 0828.76047
Arbogast, Todd; Wheeler, Mary F.
1994
Numerical methods for the simulation of flow in root-soil systems. Zbl 0792.76103
Arbogast, Todd; Obeyesekere, Mandri; Wheeler, Mary F.
1993
The existence of weak solutions to single porosity and simple dual- porosity models of two-phase incompressible flow. Zbl 0783.76090
Arbogast, Todd
1992
Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110
Arbogast, T.; Douglas, J. jun.; Hornung, U.
1991
A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516
Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd
1991
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016
Arbogast, Todd; Milner, Fabio A.
1989
Analysis of the simulation of single phase flow through a naturally fractured reservoir. Zbl 0668.76130
Arbogast, Todd
1989
On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir. Zbl 0668.76131
Arbogast, Todd
1989
The double porosity model for single phase flow in naturally fractured reservoirs. Zbl 0701.76094
Arbogast, Todd
1988
Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103
Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E.
1988
all top 5

#### Cited by 1,390 Authors

 38 Wheeler, Mary Fanett 34 Chung, Tsz Shun Eric 33 Efendiev, Yalchin R. 31 Rui, Hongxing 30 Arbogast, Todd 27 Chen, Zhangxin 20 Sun, Shuyu 20 Yotov, Ivan 19 Vohralík, Martin 15 Radu, Florin Adrian 14 Amaziane, Brahim 14 Suárez-Grau, Francisco Javier 14 Yuan, Yirang 13 Li, Xiaoli 13 Pankratov, Leonid S. 12 Nordbotten, Jan Martin 12 Pop, Iuliu Sorin 11 Chen, Jinru 11 Kou, Jisheng 11 Valentin, Frédéric 11 Wang, Hong 10 Galvis, Juan 10 He, Xiaoming 10 Jenny, Patrick 10 Leung, Wingtat 10 Park, Eun-Jae 9 Edwards, Michael G. 9 Huang, Chieh-Sen 9 Jiang, Lijian 9 Piatnitski, Andrey L. 9 Shashkov, Mikhail J. 9 Tavener, Simon J. 9 Tchelepi, Hamdi A. 8 Fu, Shubin 8 Hou, Thomas Yizhao 8 Hou, Yanren 8 Li, Jian 8 Murad, Márcio Arab 8 Presho, Michael 7 Casado-Díaz, Juan 7 Eymard, Robert 7 Ginting, Victor 7 Knabner, Peter 7 Li, Changfeng 7 Lipnikov, Konstantin N. 7 Liu, Jiangguo 7 Loula, Abimael Fernando Dourado 7 Milner, Fabio Augusto 7 Showalter, Ralph E. 7 Sun, Tongjun 7 Vasilyeva, Maria V. 6 Arrarás, Andres 6 Chen, Yanping 6 Ewing, Richard Edward 6 Gatica, Gabriel N. 6 Lazarov, Raytcho D. 6 Lee, Sanghyun 6 Luna-Laynez, Manuel 6 Lunati, Ivan 6 Oskay, Caglar 6 Pencheva, Gergina V. 6 Peszyńska, Małgorzata 6 Portero, Laura 6 Rohan, Eduard 6 Schweizer, Ben 6 Song, Huailing 6 Stenberg, Rolf 6 Xu, Xuejun 6 Zhao, Lina 5 Abreu, Eduardo 5 Boscheri, Walter 5 Calo, Victor Manuel 5 Cheung, Siu Wun 5 Correa, Maicon R. 5 Dawson, Clint N. 5 Droniou, Jérôme 5 Feng, Xinlong 5 Gahn, Markus 5 Harder, Christopher 5 Hornung, Ulrich 5 Huang, Yunqing 5 Jenkins, Eleanor W. 5 Kieu, Thinh Tri 5 Li, Guanglian 5 Li, Jichun 5 Li, Likang 5 Li, XinDong 5 Lie, Knut-Andreas 5 Neuss-Radu, Maria 5 Ohlberger, Mario 5 Paredes, Diego 5 Rivière, Beatrice M. 5 Saad, Mazen 5 Shi, Ke 5 Singh, Gurpreet 5 Sousa, Fabrício S. 5 Sun, Pengtao 5 Vassilevski, Panayot Spirov 5 Visintin, Augusto 5 Yang, Qing ...and 1,290 more Authors
all top 5

#### Cited in 147 Serials

 98 Journal of Computational Physics 93 Computer Methods in Applied Mechanics and Engineering 76 Computational Geosciences 75 Journal of Computational and Applied Mathematics 44 Computers & Mathematics with Applications 44 Journal of Scientific Computing 38 Applied Numerical Mathematics 34 Applied Mathematics and Computation 28 Numerical Methods for Partial Differential Equations 26 Numerische Mathematik 24 Mathematics of Computation 24 Multiscale Modeling & Simulation 21 SIAM Journal on Numerical Analysis 19 SIAM Journal on Scientific Computing 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Applicable Analysis 13 Journal of Mathematical Analysis and Applications 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Mathematical Methods in the Applied Sciences 11 International Journal for Numerical Methods in Engineering 9 Journal of Differential Equations 8 International Journal for Numerical Methods in Fluids 8 Mathematics and Computers in Simulation 8 SIAM Journal on Mathematical Analysis 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Applications of Mathematics 7 International Journal of Computer Mathematics 7 Nonlinear Analysis. Real World Applications 6 Archive for Rational Mechanics and Analysis 6 Computers and Fluids 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Algorithms 6 Journal of Applied Mathematics 6 Networks and Heterogeneous Media 5 Calcolo 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Mathematical Population Studies 5 Journal of Numerical Mathematics 4 International Journal of Engineering Science 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 Numerical Linear Algebra with Applications 4 Abstract and Applied Analysis 4 Advances in Difference Equations 4 Discrete and Continuous Dynamical Systems. Series S 4 SIAM/ASA Journal on Uncertainty Quantification 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Computational Mechanics 3 Japan Journal of Industrial and Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Sciences (New York) 3 Computational and Applied Mathematics 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Mathematical Problems in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 Computational Methods in Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Numerical Algebra, Control and Optimization 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics 2 Bulletin of Mathematical Biology 2 Theoretical Population Biology 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 Communications in Numerical Methods in Engineering 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Mathematical Fluid Mechanics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Archives of Computational Methods in Engineering 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Applied Mathematics and Computing 2 Journal of Biological Dynamics 2 Mathematical Geosciences 2 GEM - International Journal on Geomathematics 2 S$$\vec{\text{e}}$$MA Journal 1 Communications in Mathematical Physics 1 International Journal of Heat and Mass Transfer 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Wave Motion 1 Applied Mathematics and Optimization 1 BIT 1 Computing 1 Journal of Optimization Theory and Applications 1 Mathematika 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Communications in Partial Differential Equations 1 Journal of Elasticity ...and 47 more Serials
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#### Cited in 33 Fields

 685 Numerical analysis (65-XX) 580 Fluid mechanics (76-XX) 460 Partial differential equations (35-XX) 124 Mechanics of deformable solids (74-XX) 45 Geophysics (86-XX) 37 Biology and other natural sciences (92-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Classical thermodynamics, heat transfer (80-XX) 16 Optics, electromagnetic theory (78-XX) 12 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Ordinary differential equations (34-XX) 7 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Operator theory (47-XX) 5 Statistics (62-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX)