Edit Profile (opens in new tab) Douglas, Jim jun. Compute Distance To: Compute Author ID: douglas.jim-jun Published as: Douglas, Jim jun.; Douglas, J. jun.; Douglas, Jim; Douglas, J.; Douglas jun., Jim more...less Homepage: http://www.math.purdue.edu/news/2016/douglas_obit.php External Links: MGP · dblp Documents Indexed: 182 Publications since 1955, including 1 Book 2 Contributions as Editor Biographic References: 2 Publications Co-Authors: 74 Co-Authors with 145 Joint Publications 2,010 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Dupont, Todd F. 14 Santos, Juan Enrique 14 Wheeler, Mary Fanett 8 Yeh, Li-Ming 7 Brezzi, Franco 7 Sheen, Dongwoo 6 Cannon, John Rozier 6 Huang, Chieh-Sen 5 Cai, Zhiqiang 5 Gupta, Chaitan P. 5 Hensley, Jeffrey L. jun. 5 Pereira, Felipe 5 Roberts, Jean Elizabeth 5 Spagnuolo, Anna Maria 4 Arbogast, Todd 4 Arnold, Douglas Norman 4 Furtado, Frederico 4 Kendall, Richard P. 4 Marini, Luisa Donatella 4 Wang, Junping 3 Chen, Zhangxin 3 Darlow, Bruce L. 3 Douglas, Craig C. 3 Durán, Ricardo G. 3 Ewing, Richard Edward 3 Gallie, T. M. jun. 3 Gunn, James Edward 3 Hornung, Ulrich 3 Jones, B. Frank jun. 3 Kim, Seongjai 3 Milner, Fabio Augusto 3 Paes-Leme, Paulo Jorge 3 Ye, Xiu 2 Abreu, Eduardo 2 Fortin, Michel 2 Li, Guangyu 2 Lim, Hyeona 2 Morley, Mary E. 2 Pearcy, Carl Mark Jr. 2 Percell, Peter B. 2 Pietra, Paola 2 Rachford, Henry H. jun. 2 Wahlbin, Lars B. 2 Yi, Son-Young jun. 2 Yuan, Yirang 1 Almeida, César 1 Calderon, Alberto Pedro 1 de Moura, Carlos A. 1 Edlund, S. 1 Fragoso, Marcelo Dutra 1 Frias, Diego G. 1 Fyfe, D. E. 1 Martínez Gamba, Irene 1 Garder, Arthur O. jun. 1 Giorgi, Tiziana 1 Hill, C. Denson 1 Kaufman, J. H. 1 Kellogg, Bruce 1 Kischinhevsky, Mauricio 1 Kubrusly, Carlos S. 1 Leme, P. J. Paes 1 Lovera, Oscar M. 1 Ma, Jin 1 Marchesin, Dan 1 Olsen, Elwood T. 1 Park, Moongyu 1 Protter, Philip Elliott 1 Roman, Luis Carlos 1 Russell, Thomas F. 1 Schreyer Bennethum, Lynn 1 Scott, Larkin Ridgway 1 Serrin, James 1 Squeff, Maria Cristina J. 1 Thoens, C. 1 Thomée, Vidar 1 van Duijn, Cornelis Johannes 1 Varga, Richard Steven all top 5 Serials 19 Numerische Mathematik 12 Mathematics of Computation 9 Calcolo 9 SIAM Journal on Numerical Analysis 8 Matemática Aplicada e Computacional 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Computational and Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 RAIRO. Analyse Numérique 4 Computational Geosciences 4 Journal of the Society for Industrial & Applied Mathematics 3 Proceedings of the American Mathematical Society 2 BIT 2 Duke Mathematical Journal 2 Journal of the Association for Computing Machinery 2 Transactions of the American Mathematical Society 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal of Mathematics and Mechanics 2 Journal of Mathematics and Physics 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Applied Numerical Mathematics 1 Japan Journal of Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 The Annals of Applied Probability 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 East-West Journal of Numerical Mathematics 1 Advances in Computational Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Advances in Computers 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Communications in Computational Physics 1 Journal of Theoretical Biology 1 International Journal of Numerical Analysis and Modeling. Series B all top 5 Fields 107 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 157 Publications have been cited 5,575 times in 3,827 Documents Cited by ▼ Year ▼ Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 505 1985 On the numerical solution of heat conduction problems in two and three space variables. Zbl 0070.35401Douglas, Jim jun.; Rachford, H. H. jun. 478 1956 Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051Douglas, Jim jun.; Russell, Thomas F. 424 1982 Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 210 1990 Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109Douglas, Jim jun.; Roberts, Jean E. 203 1985 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 185 1984 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051Douglas, Jim jun.; Wang, Junping 177 1989 The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 160 1983 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 148 1987 A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103Douglas, Jim jun.; Gunn, J. E. 134 1964 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052Brezzi, Franco; Douglas, Jim jun. 134 1988 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 134 1987 A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P. 130 1984 Galerkin methods for parabolic equations. Zbl 0224.35048Douglas, Jim jun.; Dupont, Todd 130 1970 Alternating direction methods for three space variables. Zbl 0104.35001Douglas, Jim jun. 111 1962 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 103 1983 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 90 1999 Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107Douglas, Jim jun. 78 1983 Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062Douglas, Jim jun.; Roberts, Jean E. 77 1983 On the numerical integration of \(\partial^2u/\partial x^2+\partial^2u/\partial y^2=\partial u/\partial t\) by implicit methods. Zbl 0067.35802Douglas, Jim jun. 77 1955 Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131Douglas, Jim jun.; Ma, Jin; Protter, Philip 63 1996 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051Douglas, Jim jun.; Dupont, Todd 60 1974 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072Douglas, Jim jun.; Dupont, Todd 58 1975 The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces. Zbl 0297.41022Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 56 1975 A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu 52 1999 Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095Douglas, Jim jun.; Kim, Seongjai 50 2001 On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe 46 1997 Optimal \(L_\infty\) error estimates for Galerkin approximations to solutions of two-point boundary value problems. Zbl 0306.65053Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 45 1975 The modified method of characteristics with adjusted advection. Zbl 0936.65115Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe 44 1999 Mixed finite element methods for second order elliptic problems. Zbl 0482.65057Douglas, Jim jun.; Roberts, J. E. 44 1982 A family of \(C^1\) finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 43 1979 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 40 1993 The Cauchy problem for the heat equations. Zbl 0154.36502Cannon, J. R.; Douglas, Jim jun. 39 1967 Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces. Zbl 0279.65097Douglas, Jim jun.; Dupont, Todd 38 1974 Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu 37 2003 Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer 37 1993 On the numerical integration of a parabolic differential equation subject to a moving boundary condition. Zbl 0066.10503Douglas, Jim jun.; Gallie, T. M. jun. 37 1955 Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar 36 1981 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096Douglas, Jim jun.; Dupont, Todd 32 1973 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 32 1974 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050Douglas, Jim jun.; Dupont, Todd 31 1973 Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. 30 1994 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 30 1979 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 28 2000 Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089Chen, Z.; Douglas, J. jun. 27 1989 Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X. 24 2000 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 22 1974 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 21 1978 Generalized Forchheimer flow in porous media. Zbl 0805.35060Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana 21 1993 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046Douglas, Jim jun.; Dupont, Todd 21 1973 Numerical methods for integrodifferential equations of parabolic and hyperbolic types. Zbl 0135.18002Douglas, Jim jun.; Jones, B. F. jun. 21 1962 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110Arbogast, T.; Douglas, J. jun.; Hornung, U. 20 1991 On predictor-corrector methods for nonlinear parabolic differential equations. Zbl 0116.09104Douglas, Jim jun.; Jones, B. Jim jun. 20 1963 A survey of numerical methods for parabolic differential equations. Zbl 0133.38503Douglas, Jim jun. 20 1961 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084Douglas, Jim jun.; Wang, Junping 19 1989 A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501Cannon, J. R.; Douglas, Jim jun.; Hill, C. D. 19 1967 Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124Douglas, Jim jun. 18 1985 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110Douglas, Jim jun.; Milner, F. A. 17 1985 Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124Douglas, Jim jun.; Yuan, Yirang 16 1987 Numerical methods for a model of population dynamics. Zbl 0658.65145Douglas, J. jun.; Milner, F. A. 16 1987 Alternating direction iteration for mildly nonlinear elliptic difference equations. Zbl 0115.34702Douglas, Jim jun. 16 1961 The stability of the boundary in a Stefan problem. Zbl 0154.36402Cannon, J. R.; Douglas, Jim jun. 16 1967 Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093Chen, Zhangxin; Douglas, Jim jun. 15 1991 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 15 1986 Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun. 15 2007 An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114Douglas, J. jun.; Huang, C.-S. 14 1997 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060Douglas, Jim jun.; Dupont, Todd 14 1975 On the numerical integration of quasi-linear parabolic differential equations. Zbl 0074.11002Douglas, Jim jun. 14 1956 A uniqueness theorem for the solution of a Stefan problem. Zbl 0077.40504Douglas, Jim jun. 14 1957 On convergence of alternating direction procedures in the presence of singular operators. Zbl 0115.34701Douglas, Jim jun.; Pearcy, C. M. 14 1963 Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method. Zbl 0834.65034Olsen, Elwood T.; Douglas, Jim jun. 13 1995 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P. 13 1984 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088Douglas, Jim jun.; Dupont, Todd 12 1971 The solution of the diffusion equation by a high order correct difference equation. Zbl 0071.09304Douglas, Jim jun. 12 1956 The determination of a coefficient in a parabolic differential equation. II: Numerical approximation. Zbl 0112.32603Douglas, Jim jun.; Jones, B. F. jun. 12 1962 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090Douglas, Jim jun.; Huang, Chieh-Sen 10 2001 On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations. Zbl 0072.14703Douglas, Jim jun. 10 1956 A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020Douglas, Craig C.; Douglas, Jim jun. 9 1993 Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F. 9 2009 A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 9 2000 An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona 9 2003 Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F. 9 2006 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 8 1991 Two high-order correct difference analogues for the equation of multidimensional heat flow. Zbl 0116.09105Douglas, Jim jun.; Gunn, J. E. 8 1963 A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Zbl 0920.76083Douglas, J. jun.; Kischinhevsky, M.; Paes Leme, P. J.; Spagnuolo, A. M. 7 1998 Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094Arnold, D. N.; Douglas, Jim jun. 7 1979 The numerical simulation of miscible displacement in porous media. Zbl 0439.76087Douglas, Jim jun. 7 1980 Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow. Zbl 0535.76121Douglas, Jim jun.; Darlow, Bruce L.; Wheeler, Mary Fanett; Kendall, Richard P. 7 1984 A note on the alternating direction implicit method for the numerical solution of heat flow problems. Zbl 0077.11304Douglas, Jim jun. 7 1957 The application of stability analysis in the numerical solution of quasi- linear parabolic differential equations. Zbl 0084.34702Douglas, Jim jun. 7 1959 Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions. Zbl 0921.65078Douglas, Jim jun.; Huang, Chieh-Sen 6 1998 A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 6 1997 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109Douglas, Jim jun.; Wang, Junping 6 1993 A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E. 6 1995 Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M. 6 1988 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093Douglas, Jim jun.; Milner, F. A. 6 1983 Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100Douglas, Jim jun. 6 1982 The effect of antibody-dependent enhancement, cross immunity, and vector population on the dynamics of dengue fever. Zbl 1406.92577Hu, K.; Thoens, C.; Bianco, S.; Edlund, S.; Davis, M.; Douglas, J.; Kaufman, J. H. 5 2013 The convergence of a multidimensional, locally conservative Eulerian-Lagrangian finite element method for a semilinear parabolic equation. Zbl 1187.65100Douglas, Jim jun.; Spagnuolo, Anna Maria; Yi, Son-Young 4 2010 Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F. 9 2009 Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun. 15 2007 Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F. 9 2006 Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu 37 2003 An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona 9 2003 Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems. Zbl 1032.76031Almeida, César; Douglas, Jim jun.; Pereira, Felipe; Roman, Luis Carlos; Yeh, Li-Ming 1 2002 Parameter estimates for high-level nuclear transport in fractured porous media. Zbl 1068.76079Douglas, Jim jun.; Spagnuolo, Anna M. 1 2002 The approximation of nuclear contaminant transport in porous media. Zbl 1344.76082Douglas, Jim jun.; Huang, Chieh-Sen; Spagnuolo, Anna M. 1 2002 Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095Douglas, Jim jun.; Kim, Seongjai 50 2001 A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090Douglas, Jim jun.; Huang, Chieh-Sen 10 2001 Nonconforming Galerkin methods for the Helmholtz equation. Zbl 1018.65125Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 5 2001 The transport of nuclear contamination in fractured porous media. Zbl 0989.76062Douglas, Jim jun.; Spagnuolo, Anna M. 2 2001 A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 28 2000 Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X. 24 2000 A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 9 2000 A locally conservative Eulerian-Lagrangian method for flow in a porous medium of a mixture of two components having different densities. Zbl 1014.76044Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 2 2000 A nonconforming mixed method for the time-harmonic Maxwell equations. Zbl 1006.78016Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 1 2000 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 90 1999 A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu 52 1999 The modified method of characteristics with adjusted advection. Zbl 0936.65115Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe 44 1999 A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Zbl 0920.76083Douglas, J. jun.; Kischinhevsky, M.; Paes Leme, P. J.; Spagnuolo, A. M. 7 1998 Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions. Zbl 0921.65078Douglas, Jim jun.; Huang, Chieh-Sen 6 1998 Stabilized finite element methods with fast iterative solution algorithms for the Stokes problem. Zbl 0943.76048Cai, Zhiqiang; Douglas, Jim jun. 1 1998 On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe 46 1997 An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114Douglas, J. jun.; Huang, C.-S. 14 1997 A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 6 1997 An analytic basis for multigrid methods for stabilized finite element methods for the Stokes problem. Zbl 0911.65124Cai, Z.; Douglas, J. jun. 1 1997 Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131Douglas, Jim jun.; Ma, Jin; Protter, Philip 63 1996 Modelling of compositional flow in naturally fractured reservoirs. Zbl 0874.35052Chen, Zhangxin; Douglas, Jim jun. 2 1996 Alternating-direction iteration for the \(p\)-version of the finite element method. Zbl 0843.65078Douglas, Jim jun. 1 1996 Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method. Zbl 0834.65034Olsen, Elwood T.; Douglas, Jim jun. 13 1995 A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E. 6 1995 A parallelizable characteristic scheme for two-phase flow. I: Single porosity models. Zbl 0833.76054Douglas jun., Jim; Pereira, Felipe; Yeh, Li-Ming 1 1995 Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. 30 1994 A unified multigrid theory for non-nested grids and/or quadrature. Zbl 0852.65109Douglas, C. C.; Douglas, J. jun.; Fyfe, D. E. 3 1994 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 40 1993 Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer 37 1993 Generalized Forchheimer flow in porous media. Zbl 0805.35060Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana 21 1993 A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020Douglas, Craig C.; Douglas, Jim jun. 9 1993 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109Douglas, Jim jun.; Wang, Junping 6 1993 An alternating-direction iteration method for Helmholtz problems. Zbl 0807.65106Douglas, Jim jun.; Hensley, Jeffrey L.; Roberts, Jean E. 5 1993 A massively parallel iterative numerical algorithm for immiscible flow in naturally fractured reservoirs. Zbl 0805.76046Douglas, Jim jun.; Paes Leme, P. J.; Pereira, Felipe; Yeh, Li-Ming 2 1993 Finite difference methods for a model for immiscible displacement in naturally fractured petroleum reservoirs. Zbl 0760.76058Douglas, J. jun.; Paes-Leme, P. J. 1 1992 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110Arbogast, T.; Douglas, J. jun.; Hornung, U. 20 1991 Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093Chen, Zhangxin; Douglas, Jim jun. 15 1991 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 8 1991 Simulation of waves arising in acoustic well-logging. Zbl 0838.76080Douglas, J.; Santos, J. E.; Hensley, J. L.; Morley, M. E. 1 1991 Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 210 1990 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051Douglas, Jim jun.; Wang, Junping 177 1989 Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089Chen, Z.; Douglas, J. jun. 27 1989 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084Douglas, Jim jun.; Wang, Junping 19 1989 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052Brezzi, Franco; Douglas, Jim jun. 134 1988 Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M. 6 1988 Finite element methods for a composite model in elastodynamics. Zbl 0684.73034Santos, Juan Enrique; Douglas, Jim jun.; Calderon, Alberto Pedro 5 1988 Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E. 3 1988 Numerical simulation of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedures. Zbl 0699.76105Douglas, Jim jun.; Yuan, Yirang 2 1988 Superconvergence and interior estimates for a mixed finite element method for elastic waves in a planar domain. Zbl 0672.73033Douglas, Jim jun.; Gupta, Chaitan P. 1 1988 Approximation of waves in composite media. Zbl 0682.73028Douglas, Jim jun.; Santos, Juan E. 1 1988 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 148 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 134 1987 Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124Douglas, Jim jun.; Yuan, Yirang 16 1987 Numerical methods for a model of population dynamics. Zbl 0658.65145Douglas, J. jun.; Milner, F. A. 16 1987 Formulation of alternating-direction iterative methods for mixed methods in three space. Zbl 0609.65071Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola 3 1987 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 15 1986 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain. Zbl 0607.73027Douglas, Jim jun.; Gupta, Chaitan P. 4 1986 Alternating-direction iteration for mixed finite element methods. Zbl 0677.65105Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola 4 1986 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 505 1985 Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109Douglas, Jim jun.; Roberts, Jean E. 203 1985 Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124Douglas, Jim jun. 18 1985 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110Douglas, Jim jun.; Milner, F. A. 17 1985 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems. Zbl 0613.65111Douglas, Jim jun.; Gupta, Chaitan P.; Li, Guang-Yu 3 1985 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 185 1984 A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P. 130 1984 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P. 13 1984 Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow. Zbl 0535.76121Douglas, Jim jun.; Darlow, Bruce L.; Wheeler, Mary Fanett; Kendall, Richard P. 7 1984 Numerical methods for the flow of miscible fluids in porous media. Zbl 0585.76138Douglas, Jim jun. 5 1984 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0535.76115Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P. 4 1984 The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 160 1983 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 103 1983 Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107Douglas, Jim jun. 78 1983 Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062Douglas, Jim jun.; Roberts, Jean E. 77 1983 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093Douglas, Jim jun.; Milner, F. A. 6 1983 Global estimates for a primal hybrid finite element method for second order elliptic problems in the plane. Zbl 0542.65062Douglas, Jim jun.; Gupta, Chaitan P.; Li, Guang-yu 3 1983 Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051Douglas, Jim jun.; Russell, Thomas F. 424 1982 Mixed finite element methods for second order elliptic problems. Zbl 0482.65057Douglas, Jim jun.; Roberts, J. E. 44 1982 Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100Douglas, Jim jun. 6 1982 Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar 36 1981 The numerical simulation of miscible displacement in porous media. Zbl 0439.76087Douglas, Jim jun. 7 1980 Simulation of a linear waterflood. Zbl 0454.76014Douglas, Jim jun. 2 1980 A family of \(C^1\) finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 43 1979 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 30 1979 Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094Arnold, D. N.; Douglas, Jim jun. 7 1979 Effective time-stepping methods for the numerical solution of nonlinear parabolic problems. Zbl 0435.65095Douglas, Jim jun. 2 1979 Long wave regularization of one-dimensional, two-phase immiscible flow in porous media. Zbl 0423.76079Douglas, Jim jun.; Kendall, R. P.; Wheeler, M. F. 2 1979 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 21 1978 A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058Douglas, Jim jun.; Dupont, Todd; Percell, Peter 4 1978 ...and 57 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,218 Authors 51 Douglas, Jim jun. 50 Yuan, Yirang 46 Chen, Yanping 43 Rui, Hongxing 42 Gatica, Gabriel N. 39 Shi, Dongyang 37 Cockburn, Bernardo 36 Wheeler, Mary Fanett 31 He, Yinnian 30 Chen, Zhangxin 29 Ewing, Richard Edward 27 Sheen, Dongwoo 25 Huang, Yunqing 25 Li, Changfeng 25 Wang, Hong 25 Zhang, Zhimin 24 Li, Jian 23 Feng, Xinlong 23 Liang, Dong 23 Meddahi, Salim 22 Park, Eun-Jae 22 Yotov, Ivan 21 Cannon, John Rozier 21 Guo, Hui 21 Sun, Tongjun 21 Zhang, Jiansong 20 Wang, Junping 19 Arnold, Douglas Norman 18 Arbogast, Todd 18 Codina, Ramon 18 Zhang, Shangyou 17 Brezzi, Franco 17 Marquez-Duran, Antonio M. 17 Pani, Amiya Kumar 17 Santos, Juan Enrique 17 Seaïd, Mohammed 16 Chen, Huanzhen 16 Feng, Minfu 16 Hughes, Thomas J. R. 16 Loula, Abimael Fernando Dourado 16 Ruiz-Baier, Ricardo 16 Suárez-Grau, Francisco Javier 16 Yang, Danping 16 Yuan, Xiaoming 15 Chen, Shaochun 15 Han, Deren 15 Hu, Jun 15 Xu, Jinchao 15 Zou, Qingsong 14 Dupont, Todd F. 14 Fairweather, Graeme 14 Lin, Yanping 14 Rivière, Beatrice M. 14 Si, Zhiyong 14 Stenberg, Rolf 14 Winther, Ragnar 14 Ye, Xiu 14 Zhao, Weidong 13 Carstensen, Carsten 13 El-Amrani, Mofdi 13 Guzmán, Johnny 13 Zhu, Jiang 12 Abreu, Eduardo 12 Bauschke, Heinz H. 12 Chen, Chuanjun 12 Chung, Tsz Shun Eric 12 Hou, Tianliang 12 Kim, Seongjai 12 Phan, Hung M. 12 Xie, Xiaoping 12 Yang, Yang 11 Bi, Chunjia 11 Buscaglia, Gustavo Carlos 11 Cheng, Aijie 11 Dao, Minh Ngoc 11 Feng, Xiaobing 11 Franca, Leopoldo Luis Cabo Penna 11 Fu, Hongfei 11 Ginting, Victor 11 Guan, Hongbo 11 Knabner, Peter 11 Kwak, Do Young 11 Lee, Jeonghun J. 11 Pankratov, Leonid S. 11 Qiu, Weifeng 11 Sayas, Francisco-Javier 11 Sun, Weiwei 11 Vohralík, Martin 10 Duan, Huoyuan 10 Hadjidimos, Apostolos 10 Lapin, Aleksandr Vasil’evich 10 Li, Xiaoli 10 Ma, Shiqian 10 Marini, Luisa Donatella 10 Neilan, Michael 10 Ohm, Mi-Ray 10 Vázquez Cendón, Carlos 9 Ainsworth, Mark 9 Bermejo, Rodolfo 9 Bialecki, Bernard ...and 4,118 more Authors all top 5 Cited in 366 Serials 322 Computer Methods in Applied Mechanics and Engineering 253 Journal of Computational and Applied Mathematics 180 Numerische Mathematik 172 Mathematics of Computation 156 Computers & Mathematics with Applications 153 Applied Mathematics and Computation 153 Journal of Scientific Computing 131 Journal of Computational Physics 115 Applied Numerical Mathematics 94 Numerical Methods for Partial Differential Equations 69 SIAM Journal on Numerical Analysis 59 Journal of Mathematical Analysis and Applications 56 SIAM Journal on Scientific Computing 54 Computational Geosciences 41 Calcolo 41 M\(^3\)AS. 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Real World Applications 8 Aplikace Matematiky 8 International Journal of Computational Fluid Dynamics 8 Journal of Systems Science and Complexity 8 Discrete and Continuous Dynamical Systems. Series S 8 Journal of the Operations Research Society of China 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Engineering Mathematics 7 Journal of Mathematical Physics 7 Science in China. Series A 7 The Annals of Applied Probability 7 SIAM Journal on Mathematical Analysis 7 Journal of Mathematical Imaging and Vision 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Optimization Letters 7 Advances in Mathematical Physics 6 International Journal of Engineering Science 6 Transactions of the American Mathematical Society 6 Linear Algebra and its Applications 6 Stochastic Processes and their Applications 6 Differential Equations 6 Foundations of Computational Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 6 Boundary Value Problems 6 Set-Valued and Variational Analysis 6 Communications on Applied Mathematics and Computation 5 Bulletin of the Australian Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 266 more Serials all top 5 Cited in 50 Fields 2,761 Numerical analysis (65-XX) 1,604 Partial differential equations (35-XX) 1,233 Fluid mechanics (76-XX) 464 Mechanics of deformable solids (74-XX) 210 Calculus of variations and optimal control; optimization (49-XX) 210 Operations research, mathematical programming (90-XX) 137 Operator theory (47-XX) 122 Classical thermodynamics, heat transfer (80-XX) 91 Optics, electromagnetic theory (78-XX) 88 Probability theory and stochastic processes (60-XX) 84 Geophysics (86-XX) 81 Biology and other natural sciences (92-XX) 73 Integral equations (45-XX) 61 Ordinary differential equations (34-XX) 53 Statistical mechanics, structure of matter (82-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Computer science (68-XX) 38 Approximations and expansions (41-XX) 34 Information and communication theory, circuits (94-XX) 29 Systems theory; control (93-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 21 Functional analysis (46-XX) 19 Real functions (26-XX) 19 Statistics (62-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Potential theory (31-XX) 13 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 5 Combinatorics (05-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Quantum theory (81-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year