Edit Profile (opens in new tab) Russell, Thomas F. Co-Author Distance Author ID: russell.thomas-f Published as: Russell, Thomas F.; Russell, T. F. Homepage: https://science.osti.gov/bes/About/Dr-Thomas-F-Russell External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 26 Publications since 1982, including 3 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 20 Joint Publications 1,027 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Ewing, Richard Edward 5 Wheeler, Mary Fanett 2 Cai, Zhiqiang 2 Jarman, Kenneth D. 2 McCormick, Steve Fahrney 2 Wilson, John David 1 Arbogast, Todd 1 Celia, Michael A. 1 Cooper, James Bell 1 Dahle, Helge K. 1 Dawson, Clint N. 1 Douglas, Jim jun. 1 Hayes, Linda J. 1 Herrera, Ismael 1 Hu, Xiancheng 1 Huang, Chieh-Sen 1 Jones, Jim E. 1 Klausen, Runhild Aae 1 Krishnamachari, S. V. 1 Lazarov, Raytcho D. 1 Manteuffel, Thomas A. 1 Naff, Richard L. 1 Parashkevov, Rossen R. 1 Vassilevski, Panayot Spirov 1 Wang, Hong 1 Ye, Xiu 1 Yotov, Ivan all top 5 Serials 8 SIAM Journal on Numerical Analysis 3 Computational Geosciences 2 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 Multiscale Modeling & Simulation all top 5 Fields 14 Fluid mechanics (76-XX) 13 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 3 Geophysics (86-XX) 1 Ordinary differential equations (34-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 1,096 times in 757 Documents Cited by ▼ Year ▼ Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051 Douglas, Jim jun.; Russell, Thomas F. 454 1982 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 141 1984 Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. Zbl 0594.76087 Russell, Thomas F. 113 1985 Some improved error estimates for the modified method of characteristics. Zbl 0693.65062 Dawson, C. N.; Russell, T. F.; Wheeler, M. F. 73 1989 Control-volume mixed finite element methods. Zbl 0941.76050 Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F. 50 1997 Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089 Russell, Thomas F.; Wheeler, Mary Fanett 47 1983 Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Zbl 1124.76030 Klausen, R. A.; Russell, T. F. 39 2005 Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. Zbl 0830.65095 Wang, Hong; Ewing, Richard E.; Russell, Thomas F. 31 1995 Efficient time-stepping methods for miscible displacement problems in porous media. Zbl 0498.76084 Ewing, Richard E.; Russell, Thomas F. 28 1982 Eulerian-Lagrangian localized adjoint method: The theoretical framework. Zbl 0784.65071 Herrera, Ismael; Ewing, Richard E.; Celia, Michael A.; Russell, Thomas F. 18 1993 Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation. Zbl 0851.76058 Dahle, Helge K.; Ewing, Richard E.; Russell, Thomas F. 17 1995 Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080 Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. 16 1990 Shape functions for velocity interpolation in general hexahedral cells. Zbl 1094.76542 Naff, R. L.; Russell, T. F.; Wilson, J. D. 15 2002 Superconvergence for control-volume mixed finite element methods on rectangular grids. Zbl 1160.65055 Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan 10 2007 A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems. Zbl 0693.65061 Krishnamachari, S. V.; Hayes, L. J.; Russell, T. F. 10 1989 Eulerian moment equations for 2-D stochastic immiscible flow. Zbl 1058.76068 Jarman, Kenneth D.; Russell, Thomas F. 7 2003 Relationships among some conservative discretization methods. Zbl 1010.76064 Russell, Thomas F. 5 2000 Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095 Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X. 5 2003 Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0535.76116 Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett 4 1984 Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100 Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F. 4 1995 Eulerian-Langrangian localized adjoint methods for advection-dominated problems. Zbl 0694.76037 Russell, T. F. 3 1990 Analysis of 1-D moment equations for immiscible flow. Zbl 1013.76088 Jarman, Kenneth D.; Russell, Thomas F. 3 2002 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. 3 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. 3 2012 Superconvergence for control-volume mixed finite element methods on rectangular grids. Zbl 1160.65055 Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan 10 2007 Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Zbl 1124.76030 Klausen, R. A.; Russell, T. F. 39 2005 Eulerian moment equations for 2-D stochastic immiscible flow. Zbl 1058.76068 Jarman, Kenneth D.; Russell, Thomas F. 7 2003 Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095 Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X. 5 2003 Shape functions for velocity interpolation in general hexahedral cells. Zbl 1094.76542 Naff, R. L.; Russell, T. F.; Wilson, J. D. 15 2002 Analysis of 1-D moment equations for immiscible flow. Zbl 1013.76088 Jarman, Kenneth D.; Russell, Thomas F. 3 2002 Relationships among some conservative discretization methods. Zbl 1010.76064 Russell, Thomas F. 5 2000 Control-volume mixed finite element methods. Zbl 0941.76050 Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F. 50 1997 Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. Zbl 0830.65095 Wang, Hong; Ewing, Richard E.; Russell, Thomas F. 31 1995 Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation. Zbl 0851.76058 Dahle, Helge K.; Ewing, Richard E.; Russell, Thomas F. 17 1995 Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100 Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F. 4 1995 Eulerian-Lagrangian localized adjoint method: The theoretical framework. Zbl 0784.65071 Herrera, Ismael; Ewing, Richard E.; Celia, Michael A.; Russell, Thomas F. 18 1993 Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080 Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. 16 1990 Eulerian-Langrangian localized adjoint methods for advection-dominated problems. Zbl 0694.76037 Russell, T. F. 3 1990 Some improved error estimates for the modified method of characteristics. Zbl 0693.65062 Dawson, C. N.; Russell, T. F.; Wheeler, M. F. 73 1989 A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems. Zbl 0693.65061 Krishnamachari, S. V.; Hayes, L. J.; Russell, T. F. 10 1989 Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. Zbl 0594.76087 Russell, Thomas F. 113 1985 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 141 1984 Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0535.76116 Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett 4 1984 Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089 Russell, Thomas F.; Wheeler, Mary Fanett 47 1983 Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051 Douglas, Jim jun.; Russell, Thomas F. 454 1982 Efficient time-stepping methods for miscible displacement problems in porous media. Zbl 0498.76084 Ewing, Richard E.; Russell, Thomas F. 28 1982 all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 52 Yuan, Yirang 29 Li, Changfeng 29 Wang, Hong 27 Rui, Hongxing 24 Seaïd, Mohammed 23 Ewing, Richard Edward 19 El-Amrani, Mofdi 18 Sun, Tongjun 18 Zhang, Jiansong 16 Wheeler, Mary Fanett 15 Liang, Dong 14 Chen, Zhangxin 14 Si, Zhiyong 12 Chen, Yanping 12 Feng, Xinlong 11 He, Yinnian 11 Song, Huailing 11 Yang, Qing 10 Cheng, Aijie 10 Fu, Hongfei 10 Vázquez Cendón, Carlos 10 Yotov, Ivan 9 Bermejo, Rodolfo 9 Chen, Huanzhen 9 Guo, Hui 8 Arbogast, Todd 8 Fu, Kai 8 Hu, Hanzhang 8 Li, Hong 8 Oñate Ibáñez de Navarra, Eugenio 8 Shi, Dongyang 8 Sun, Weiwei 8 Wang, Kaixin 7 Bermúdez, Alfredo 7 Chen-Charpentier, Benito Miguel 7 Chen, Chuanjun 7 Lapin, Aleksandr Vasil’evich 7 Tabata, Masahisa 7 Wang, Wenqia 7 Wang, Yunxia 7 Yang, Danping 7 Zhou, Zhongguo 6 Fang, Zhichao 6 Huang, Chieh-Sen 6 Huang, Yunqing 6 Notsu, Hirofumi 6 Pan, Hao 6 Rivière, Beatrice M. 6 Zhu, Jiang 5 Al-Lawatia, Mohamed 5 Codina, Ramon 5 Gao, Fuzheng 5 Kojouharov, Hristo V. 5 Kwak, Do Young 5 Li, XinDong 5 Liu, Yunxin 5 Ohm, Mi-Ray 5 Qiu, Jingmei 5 Saavedra, Laura 5 Salhi, Loubna 5 Shin, Jun Yong 5 Yuan, Guangwei 5 Zhou, Jie 4 Benítez, Marta 4 Cai, Xiaofeng 4 Chen, Jie 4 Cui, Ming 4 Douglas, Jim jun. 4 Droniou, Jérôme 4 Du, Ning 4 Durany, José 4 Edwards, Michael G. 4 Han, Yuji 4 Hang, Tongtong 4 Herrera, Ismael 4 Hou, Tianliang 4 Jiang, Ziwen 4 Khouya, Bassou 4 Klausen, Runhild Aae 4 Kumar, Sarvesh 4 Lee, Youngju 4 Li, Jian 4 Liu, Yang 4 Loula, Abimael Fernando Dourado 4 Ma, Keying 4 Nadukandi, Prashanth 4 Pironneau, Olivier 4 Qin, Guan 4 Shashkov, Mikhail J. 4 Süli, Endre E. 4 Sun, Shuyu 4 Wang, Yan 4 Xu, Jinchao 4 Xu, Wenwen 4 Yang, Daoqi 4 Younes, Anis 4 Zhang, Tong 4 Zhang, Zhiyue 3 Bi, Chunjia 3 Cao, Luling ...and 856 more Authors all top 5 Cited in 128 Serials 77 Computer Methods in Applied Mechanics and Engineering 53 Journal of Computational and Applied Mathematics 51 Journal of Computational Physics 46 Numerical Methods for Partial Differential Equations 45 Computers & Mathematics with Applications 40 Applied Mathematics and Computation 39 Journal of Scientific Computing 27 Applied Numerical Mathematics 23 Computational Geosciences 21 Numerische Mathematik 18 International Journal of Computer Mathematics 14 Mathematics of Computation 12 SIAM Journal on Scientific Computing 11 Advances in Applied Mathematics and Mechanics 10 International Journal for Numerical Methods in Fluids 10 Applied Mathematics and Mechanics. (English Edition) 9 International Journal for Numerical Methods in Engineering 9 Numerical Algorithms 7 Mathematics and Computers in Simulation 7 Acta Mathematicae Applicatae Sinica. English Series 6 Mathematical Methods in the Applied Sciences 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Communications in Numerical Methods in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Applicable Analysis 5 Computers and Fluids 5 SIAM Journal on Numerical Analysis 5 Advances in Computational Mathematics 5 Engineering Analysis with Boundary Elements 5 Abstract and Applied Analysis 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Journal of Systems Science and Complexity 5 International Journal of Numerical Analysis and Modeling 4 Computing 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applied Mathematical Modelling 4 Applied Mathematics. Series B (English Edition) 4 Lobachevskii Journal of Mathematics 4 Journal of Applied Mathematics 4 Communications in Computational Physics 4 East Asian Mathematical Journal 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics Letters 3 Computational and Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Applied Mathematics and Computing 3 Electronic Research Archive 2 Transport Theory and Statistical Physics 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Journal of Computational Mathematics 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Numerical Linear Algebra with Applications 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 International Journal of Computational Fluid Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 Discrete Dynamics in Nature and Society 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Advances in Mathematical Physics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Results in Applied Mathematics 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 Physics of Fluids, A 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Optimization 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 RAIRO. Analyse Numérique 1 Mathematica Numerica Sinica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Journal of Economic Dynamics & Control 1 The Annals of Applied Probability 1 Journal of Non-Newtonian Fluid Mechanics 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Monte Carlo Methods and Applications 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Analysis (München) 1 Nonlinear Analysis. Real World Applications ...and 28 more Serials all top 5 Cited in 33 Fields 605 Numerical analysis (65-XX) 433 Fluid mechanics (76-XX) 293 Partial differential equations (35-XX) 35 Geophysics (86-XX) 32 Mechanics of deformable solids (74-XX) 29 Biology and other natural sciences (92-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 7 Optics, electromagnetic theory (78-XX) 5 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year