Edit Profile (opens in new tab) Arbogast, Todd Compute Distance To: Compute Author ID: arbogast.todd Published as: Arbogast, Todd; Arbogast, T.; Arobogast, Todd more...less External Links: ORCID Documents Indexed: 69 Publications since 1988 Co-Authors: 47 Co-Authors with 59 Joint Publications 1,176 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Huang, Chieh-Sen 14 Wheeler, Mary Fanett 6 Yotov, Ivan 5 Dawson, Clint N. 4 Douglas, Jim jun. 4 Tao, Zhen 3 Hung, Chen-Hui 3 Taicher, Abraham L. 3 Xiao, Hailong 3 Zhao, Xikai 2 Correa, Maicon R. 2 Estep, Donald J. 2 Hornung, Ulrich 2 Keenan, Philip T. 2 Saaf, Fredrik J. F. E. 2 Tavener, Simon J. 2 Wang, Chong 2 Wang, Chuning 2 Wang, Wenhao 1 Boyd, Kirsten J. 1 Brunson, Dana S. 1 Bryant, Steve 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 Kuo, Ming-Hsien 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 3 Journal of Scientific Computing 2 IMA Journal of Numerical Analysis 2 Numerische Mathematik 2 Multiscale Modeling & Simulation 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 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 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 52 Numerical analysis (65-XX) 42 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 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 1,784 times in 1,285 Documents Cited by ▼ Year ▼ Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 216 1990 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 176 1997 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 141 2007 A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Zbl 1186.76660Arbogast, Todd; Brunson, Dana S. 106 2007 A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044Arbogast, Todd; Wheeler, Mary F. 97 1995 A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media. Zbl 0856.76033Arbogast, Todd; Wheeler, Mary F.; Zhang, Nai-Ying 85 1996 On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127Arbogast, Todd; Chen, Zhangxin 76 1995 Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan 75 2000 Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems. Zbl 1078.65092Arbogast, Todd 69 2004 Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow. Zbl 1094.76532Arbogast, Todd 61 2002 Homogenization of a Darcy-Stokes system modeling vuggy porous media. Zbl 1197.76122Arbogast, Todd; Lehr, Heather L. 54 2006 Enhanced cell-centered finite differences for elliptic equations on general geometry. Zbl 0947.65114Arobogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan 52 1998 Subgrid upscaling and mixed multiscale finite elements. Zbl 1120.65122Arbogast, Todd; Boyd, Kirsten J. 45 2006 The existence of weak solutions to single porosity and simple dual- porosity models of two-phase incompressible flow. Zbl 0783.76090Arbogast, Todd 41 1992 A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. Zbl 1338.76047Arbogast, Todd; Gomez, Mario San Martin 39 2009 Two families of \(H(\operatorname{div})\) mixed finite elements on quadrilaterals of minimal dimension. Zbl 1353.65118Arbogast, Todd; Correa, Maicon R. 30 2016 Numerical subgrid upscaling of two-phase flow in porous media. Zbl 1072.76560Arbogast, Todd 30 2000 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 27 2013 A fully mass and volume conserving implementation of a characteristic method for transport problems. Zbl 1293.76097Arbogast, Todd; Huang, Chieh-Sen 22 2006 An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian 21 2012 A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016Arbogast, Todd; Milner, Fabio A. 21 1989 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110Arbogast, T.; Douglas, J. jun.; Hornung, U. 21 1991 A linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1457.65177Arbogast, Todd; Taicher, Abraham L. 15 2016 A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. Zbl 0923.76100Arbogast, Todd; Yotov, Ivan 14 1997 A multiscale mortar mixed space based on homogenization for heterogeneous elliptic problems. Zbl 1267.65192Arbogast, Todd; Xiao, Hailong 14 2013 A family of rectangular mixed elements with a continuous flux for second order elliptic problems. Zbl 1081.65106Arbogast, Todd; Wheeler, Mary F. 12 2005 A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. Zbl 1354.65166Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui 12 2016 Accuracy of WENO and adaptive order WENO reconstructions for solving conservation laws. Zbl 1394.65068Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai 11 2018 Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. Zbl 1425.65042Arbogast, Todd; Xiao, Hailong 11 2015 Convergence of a fully conservative volume corrected characteristic method for transport problems. Zbl 1215.35102Arbogast, Todd; Wang, Wen-Hao 11 2010 A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. Zbl 1322.65093Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. 10 2015 Analysis of the simulation of single phase flow through a naturally fractured reservoir. Zbl 0668.76130Arbogast, Todd 10 1989 Numerical methods for the simulation of flow in root-soil systems. Zbl 0792.76103Arbogast, Todd; Obeyesekere, Mandri; Wheeler, Mary F. 10 1993 Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes. Zbl 1453.65243Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai 9 2019 Mixed methods using standard conforming finite elements. Zbl 1229.76052Li, Jichun; Arbogast, Todd; Huang, Yunqing 9 2009 Mixed multiscale methods for heterogeneous elliptic problems. Zbl 1248.65119Arbogast, Todd 9 2012 An Eulerian-Lagrangian weighted essentially nonoscillatory scheme for nonlinear conservation laws. Zbl 1367.65124Huang, Chieh-Sen; Arbogast, Todd 8 2017 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 8 1991 Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031Arbogast, Todd; Tao, Zhen 8 2019 Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. Zbl 1236.65119Arbogast, Todd; Wang, Wen-Hao 8 2011 Homogenization-based mixed multiscale finite elements for problems with anisotropy. Zbl 1228.65219Arbogast, Todd 7 2011 Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity. Zbl 1383.76330Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L. 7 2017 A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations. Zbl 1506.76108Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai; King, Danielle N. 7 2020 A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures. Zbl 1396.76065Arbogast, Todd; Taicher, Abraham L. 7 2017 Multiscale mortar mixed methods for heterogeneous elliptic problems. Zbl 1280.65136Arbogast, Todd; Tao, Zhen; Xiao, Hailong 6 2013 Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation. Zbl 0866.76041Arbogast, Todd; Bryant, Steve; Dawson, Clint; Saaf, Fredrik; Wang, Chong; Wheeler, Mary 6 1996 A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. Zbl 1188.65135Arbogast, Todd; Huang, Chieh-Sen 6 2010 A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching. Zbl 1303.65093Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. 5 2014 Fifth order multi-moment WENO schemes for hyperbolic conservation laws. Zbl 1325.65123Huang, Chieh-Sen; Xiao, Feng; Arbogast, Todd 5 2015 A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. Zbl 1349.65303Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui 4 2014 Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements. Zbl 1146.65068Arbogast, Todd; Huang, Chieh-Sen; Yang, Song-Ming 4 2007 An overview of subgrid upscaling for elliptic problems in mixed form. Zbl 1040.65093Arbogast, Todd 4 2003 A direct mixed-enriched Galerkin method on quadrilaterals for two-phase Darcy flow. Zbl 1425.76233Arbogast, Todd; Tao, Zhen 3 2019 A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F. 3 2012 A parallel numerical model for subsurface contaminant transport with biodegradation kinetics. Zbl 0828.76047Arbogast, Todd; Wheeler, Mary F. 3 1994 Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E. 3 1988 The double porosity model for single phase flow in naturally fractured reservoirs. Zbl 0701.76094Arbogast, Todd 3 1988 On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir. Zbl 0668.76131Arbogast, Todd 2 1989 A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1441.74250Kang, Shinhoo; Bui-Thanh, Tan; Arbogast, Todd 2 2019 An implicit Eulerian-Lagrangian WENO3 scheme for nonlinear conservation laws. Zbl 1407.65147Huang, Chieh-Sen; Arbogast, Todd 1 2018 Full \(H(\operatorname{div})\)-approximation of linear elasticity on quadrilateral meshes based on \(\mathcal{ABF}\) finite elements. Zbl 1440.74060Quinelato, Thiago O.; Loula, Abimael F. D.; Correa, Maicon R.; Arbogast, Todd 1 2019 Direct serendipity and mixed finite elements on convex quadrilaterals. Zbl 1486.65239Arbogast, Todd; Tao, Zhen; Wang, Chuning 1 2022 Direct serendipity and mixed finite elements on convex quadrilaterals. Zbl 1486.65239Arbogast, Todd; Tao, Zhen; Wang, Chuning 1 2022 A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations. Zbl 1506.76108Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai; King, Danielle N. 7 2020 Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes. Zbl 1453.65243Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai 9 2019 Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031Arbogast, Todd; Tao, Zhen 8 2019 A direct mixed-enriched Galerkin method on quadrilaterals for two-phase Darcy flow. Zbl 1425.76233Arbogast, Todd; Tao, Zhen 3 2019 A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1441.74250Kang, Shinhoo; Bui-Thanh, Tan; Arbogast, Todd 2 2019 Full \(H(\operatorname{div})\)-approximation of linear elasticity on quadrilateral meshes based on \(\mathcal{ABF}\) finite elements. Zbl 1440.74060Quinelato, Thiago O.; Loula, Abimael F. D.; Correa, Maicon R.; Arbogast, Todd 1 2019 Accuracy of WENO and adaptive order WENO reconstructions for solving conservation laws. Zbl 1394.65068Arbogast, Todd; Huang, Chieh-Sen; Zhao, Xikai 11 2018 An implicit Eulerian-Lagrangian WENO3 scheme for nonlinear conservation laws. Zbl 1407.65147Huang, Chieh-Sen; Arbogast, Todd 1 2018 An Eulerian-Lagrangian weighted essentially nonoscillatory scheme for nonlinear conservation laws. Zbl 1367.65124Huang, Chieh-Sen; Arbogast, Todd 8 2017 Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity. Zbl 1383.76330Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L. 7 2017 A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures. Zbl 1396.76065Arbogast, Todd; Taicher, Abraham L. 7 2017 Two families of \(H(\operatorname{div})\) mixed finite elements on quadrilaterals of minimal dimension. Zbl 1353.65118Arbogast, Todd; Correa, Maicon R. 30 2016 A linear degenerate elliptic equation arising from two-phase mixtures. Zbl 1457.65177Arbogast, Todd; Taicher, Abraham L. 15 2016 A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws. Zbl 1354.65166Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui 12 2016 Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. Zbl 1425.65042Arbogast, Todd; Xiao, Hailong 11 2015 A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. Zbl 1322.65093Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. 10 2015 Fifth order multi-moment WENO schemes for hyperbolic conservation laws. Zbl 1325.65123Huang, Chieh-Sen; Xiao, Feng; Arbogast, Todd 5 2015 A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching. Zbl 1303.65093Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. 5 2014 A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. Zbl 1349.65303Huang, Chieh-Sen; Arbogast, Todd; Hung, Chen-Hui 4 2014 A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure. Zbl 1393.76059Arbogast, Todd; Juntunen, Mika; Pool, Jamie; Wheeler, Mary F. 27 2013 A multiscale mortar mixed space based on homogenization for heterogeneous elliptic problems. Zbl 1267.65192Arbogast, Todd; Xiao, Hailong 14 2013 Multiscale mortar mixed methods for heterogeneous elliptic problems. Zbl 1280.65136Arbogast, Todd; Tao, Zhen; Xiao, Hailong 6 2013 An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian 21 2012 Mixed multiscale methods for heterogeneous elliptic problems. Zbl 1248.65119Arbogast, Todd 9 2012 A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F. 3 2012 Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. Zbl 1236.65119Arbogast, Todd; Wang, Wen-Hao 8 2011 Homogenization-based mixed multiscale finite elements for problems with anisotropy. Zbl 1228.65219Arbogast, Todd 7 2011 Convergence of a fully conservative volume corrected characteristic method for transport problems. Zbl 1215.35102Arbogast, Todd; Wang, Wen-Hao 11 2010 A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field. Zbl 1188.65135Arbogast, Todd; Huang, Chieh-Sen 6 2010 A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. Zbl 1338.76047Arbogast, Todd; Gomez, Mario San Martin 39 2009 Mixed methods using standard conforming finite elements. Zbl 1229.76052Li, Jichun; Arbogast, Todd; Huang, Yunqing 9 2009 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 141 2007 A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Zbl 1186.76660Arbogast, Todd; Brunson, Dana S. 106 2007 Improved accuracy for alternating-direction methods for parabolic equations based on regular and mixed finite elements. Zbl 1146.65068Arbogast, Todd; Huang, Chieh-Sen; Yang, Song-Ming 4 2007 Homogenization of a Darcy-Stokes system modeling vuggy porous media. Zbl 1197.76122Arbogast, Todd; Lehr, Heather L. 54 2006 Subgrid upscaling and mixed multiscale finite elements. Zbl 1120.65122Arbogast, Todd; Boyd, Kirsten J. 45 2006 A fully mass and volume conserving implementation of a characteristic method for transport problems. Zbl 1293.76097Arbogast, Todd; Huang, Chieh-Sen 22 2006 A family of rectangular mixed elements with a continuous flux for second order elliptic problems. Zbl 1081.65106Arbogast, Todd; Wheeler, Mary F. 12 2005 Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems. Zbl 1078.65092Arbogast, Todd 69 2004 An overview of subgrid upscaling for elliptic problems in mixed form. Zbl 1040.65093Arbogast, Todd 4 2003 Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow. Zbl 1094.76532Arbogast, Todd 61 2002 Mixed finite element methods on nonmatching multiblock grids. Zbl 1001.65126Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan 75 2000 Numerical subgrid upscaling of two-phase flow in porous media. Zbl 1072.76560Arbogast, Todd 30 2000 Enhanced cell-centered finite differences for elliptic equations on general geometry. Zbl 0947.65114Arobogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan 52 1998 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 176 1997 A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. Zbl 0923.76100Arbogast, Todd; Yotov, Ivan 14 1997 A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media. Zbl 0856.76033Arbogast, Todd; Wheeler, Mary F.; Zhang, Nai-Ying 85 1996 Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation. Zbl 0866.76041Arbogast, Todd; Bryant, Steve; Dawson, Clint; Saaf, Fredrik; Wang, Chong; Wheeler, Mary 6 1996 A characteristics-mixed finite element method for advection-dominated transport problems. Zbl 0823.76044Arbogast, Todd; Wheeler, Mary F. 97 1995 On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127Arbogast, Todd; Chen, Zhangxin 76 1995 A parallel numerical model for subsurface contaminant transport with biodegradation kinetics. Zbl 0828.76047Arbogast, Todd; Wheeler, Mary F. 3 1994 Numerical methods for the simulation of flow in root-soil systems. Zbl 0792.76103Arbogast, Todd; Obeyesekere, Mandri; Wheeler, Mary F. 10 1993 The existence of weak solutions to single porosity and simple dual- porosity models of two-phase incompressible flow. Zbl 0783.76090Arbogast, Todd 41 1992 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110Arbogast, T.; Douglas, J. jun.; Hornung, U. 21 1991 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 8 1991 Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 216 1990 A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016Arbogast, Todd; Milner, Fabio A. 21 1989 Analysis of the simulation of single phase flow through a naturally fractured reservoir. Zbl 0668.76130Arbogast, Todd 10 1989 On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir. Zbl 0668.76131Arbogast, Todd 2 1989 Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E. 3 1988 The double porosity model for single phase flow in naturally fractured reservoirs. Zbl 0701.76094Arbogast, Todd 3 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,621 Authors 52 Chung, Tsz Shun Eric 41 Wheeler, Mary Fanett 39 Efendiev, Yalchin R. 36 Rui, Hongxing 33 Arbogast, Todd 29 Chen, Zhangxin 26 Sun, Shuyu 25 Yotov, Ivan 21 Yuan, Yirang 20 Vohralík, Martin 18 Radu, Florin Adrian 16 Amaziane, Brahim 16 Leung, Wingtat 16 Li, Xiaoli 16 Pop, Iuliu Sorin 16 Suárez-Grau, Francisco Javier 15 Fu, Shubin 15 Kou, Jisheng 15 Nordbotten, Jan Martin 15 Pankratov, Leonid S. 14 He, Xiaoming 14 Li, Changfeng 14 Park, Eun-Jae 13 Valentin, Frédéric 12 Chen, Jinru 12 Li, Jian 12 Zhao, Lina 11 Galvis, Juan 11 Piatnitski, Andrey L. 11 Vasilyeva, Maria V. 11 Wang, Hong 10 Huang, Chieh-Sen 10 Jenny, Patrick 10 Jiang, Lijian 10 Song, Huailing 10 Sun, Tongjun 10 Tavener, Simon J. 10 Tchelepi, Hamdi A. 9 Cheung, Siu Wun 9 Hou, Yanren 9 Lee, Sanghyun 9 Presho, Michael 9 Sousa, Fabrício S. 8 Al Mahbub, Md. Abdullah 8 Edwards, Michael G. 8 Hou, Thomas Yizhao 8 Liu, Jiangguo 8 Murad, Márcio Arab 8 Peszyńska, Małgorzata 8 Qiu, Jingmei 8 Rivière, Beatrice M. 8 Shashkov, Mikhail J. 8 Yang, Qing 7 Abreu, Eduardo 7 Arrarás, Andres 7 Cancès, Clément 7 Casado-Díaz, Juan 7 Correa, Maicon R. 7 Droniou, Jérôme 7 Eymard, Robert 7 Gatica, Gabriel N. 7 Ginting, Victor 7 He, Yinnian 7 Knabner, Peter 7 Loula, Abimael Fernando Dourado 7 Mehmani, Yashar 7 Milner, Fabio Augusto 7 Portero, Laura 7 Rohan, Eduard 7 Showalter, Ralph E. 7 Sili, Ali 7 Vassilevski, Panayot Spirov 7 Wang, Xiuhua 7 Zheng, Haibiao 6 Arshad, Muhammad 6 Ausas, Roberto Federico 6 Boscheri, Walter 6 Buscaglia, Gustavo Carlos 6 Cai, Xiaofeng 6 Chen, Yanping 6 Dawson, Clint N. 6 Ewing, Richard Edward 6 Feng, Xinlong 6 Hajibeygi, Hadi 6 Jurak, Mladen 6 Kumar, Kundan 6 Lazarov, Raytcho D. 6 Li, Rui 6 Li, XinDong 6 Lipnikov, Konstantin N. 6 Luna-Laynez, Manuel 6 Lunati, Ivan 6 Oskay, Caglar 6 Pencheva, Gergina V. 6 Saad, Mazen 6 Schweizer, Ben 6 Stenberg, Rolf 6 Wang, Yating 6 Xu, Xuejun 6 Yang, Yanfang ...and 1,521 more Authors all top 5 Cited in 169 Serials 138 Journal of Computational Physics 101 Computer Methods in Applied Mechanics and Engineering 87 Computational Geosciences 86 Journal of Computational and Applied Mathematics 59 Journal of Scientific Computing 56 Computers & Mathematics with Applications 46 Applied Numerical Mathematics 40 Applied Mathematics and Computation 29 Numerische Mathematik 29 SIAM Journal on Scientific Computing 29 Multiscale Modeling & Simulation 28 Numerical Methods for Partial Differential Equations 26 SIAM Journal on Numerical Analysis 24 Mathematics of Computation 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Applicable Analysis 17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Mathematical Analysis and Applications 13 Journal of Differential Equations 13 Mathematics and Computers in Simulation 12 International Journal of Computer Mathematics 11 Computers and Fluids 11 Mathematical Methods in the Applied Sciences 11 International Journal for Numerical Methods in Engineering 10 Communications in Computational Physics 10 Advances in Applied Mathematics and Mechanics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 International Journal for Numerical Methods in Fluids 8 SIAM Journal on Mathematical Analysis 8 Nonlinear Analysis. Real World Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applications of Mathematics 7 Numerical Algorithms 7 Journal of Applied Mathematics 7 Networks and Heterogeneous Media 7 Discrete and Continuous Dynamical Systems. Series S 6 Archive for Rational Mechanics and Analysis 6 Calcolo 6 SIAM Journal on Applied Mathematics 6 Journal of Numerical Mathematics 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Mathematical Population Studies 4 International Journal of Engineering Science 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Computational Mechanics 4 Asymptotic Analysis 4 Japan Journal of Industrial and Applied Mathematics 4 Numerical Linear Algebra with Applications 4 Advances in Computational Mathematics 4 Abstract and Applied Analysis 4 Advances in Difference Equations 4 Science China. Mathematics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Journal of Engineering Mathematics 3 Journal of Mathematical Biology 3 Acta Applicandae Mathematicae 3 European Journal of 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 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Applied Mathematics and Computing 3 Advances in Mathematical Physics 3 Numerical Algebra, Control and Optimization 3 Communications on Applied Mathematics and Computation 3 Electronic Research Archive 2 Journal of Fluid Mechanics 2 Rocky Mountain Journal of Mathematics 2 Bulletin of Mathematical Biology 2 BIT 2 Theoretical Population Biology 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Communications in Numerical Methods in Engineering 2 Journal of Inverse and Ill-Posed Problems 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Computational Fluid Dynamics 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 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Mathematical Biosciences and Engineering 2 Oberwolfach Reports 2 Journal of Biological Dynamics 2 Mathematical Geosciences 2 East Asian Mathematical Journal 2 GEM - International Journal on Geomathematics 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 S\(\vec{\text{e}}\)MA Journal 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics ...and 69 more Serials all top 5 Cited in 33 Fields 877 Numerical analysis (65-XX) 753 Fluid mechanics (76-XX) 571 Partial differential equations (35-XX) 159 Mechanics of deformable solids (74-XX) 49 Geophysics (86-XX) 44 Biology and other natural sciences (92-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 13 Integral equations (45-XX) 11 Statistics (62-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Probability theory and stochastic processes (60-XX) 10 Computer science (68-XX) 8 Real functions (26-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Ordinary differential equations (34-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-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) Citations by Year