Edit Profile (opens in new tab) Douglas, Jim jun. (b. 1927 d. 2016) Co-Author Distance 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 2,094 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Dupont, Todd F. 16 Pereira, Felipe 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 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 159 Publications have been cited 6,085 times in 4,223 Documents Cited by ▼ Year ▼ Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072 Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 572 1985 On the numerical solution of heat conduction problems in two and three space variables. Zbl 0070.35401 Douglas, Jim jun.; Rachford, H. H. jun. 544 1956 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 Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106 Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 238 1990 Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109 Douglas, Jim jun.; Roberts, Jean E. 225 1985 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074 Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 200 1984 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051 Douglas, Jim jun.; Wang, Junping 185 1989 The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 175 1983 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107 Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 158 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065 Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 143 1987 A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103 Douglas, Jim jun.; Gunn, J. E. 140 1964 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052 Brezzi, Franco; Douglas, Jim jun. 139 1988 A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066 Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P. 139 1984 Galerkin methods for parabolic equations. Zbl 0224.35048 Douglas, Jim jun.; Dupont, Todd 135 1970 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 116 1983 Alternating direction methods for three space variables. Zbl 0104.35001 Douglas, Jim jun. 115 1962 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 95 1999 On the numerical integration of \(\partial^2u/\partial x^2+\partial^2u/\partial y^2=\partial u/\partial t\) by implicit methods. Zbl 0067.35802 Douglas, Jim jun. 87 1955 Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107 Douglas, Jim jun. 84 1983 Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062 Douglas, Jim jun.; Roberts, Jean E. 79 1983 Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131 Douglas, Jim jun.; Ma, Jin; Protter, Philip 73 1996 The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces. Zbl 0297.41022 Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 66 1975 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072 Douglas, Jim jun.; Dupont, Todd 60 1975 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051 Douglas, Jim jun.; Dupont, Todd 60 1974 A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047 Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu 57 1999 Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces. Zbl 0279.65097 Douglas, Jim jun.; Dupont, Todd 54 1974 On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549 Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe 53 1997 Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095 Douglas, Jim jun.; Kim, Seongjai 52 2001 A family of \(C^1\) finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068 Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 50 1979 The modified method of characteristics with adjusted advection. Zbl 0936.65115 Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe 47 1999 Mixed finite element methods for second order elliptic problems. Zbl 0482.65057 Douglas, Jim jun.; Roberts, J. E. 46 1982 Optimal \(L_\infty\) error estimates for Galerkin approximations to solutions of two-point boundary value problems. Zbl 0306.65053 Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 46 1975 Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062 Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar 45 1981 The Cauchy problem for the heat equations. Zbl 0154.36502 Cannon, J. R.; Douglas, Jim jun. 42 1967 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122 Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 42 1993 Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer 41 1993 Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087 Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu 40 2003 On the numerical integration of a parabolic differential equation subject to a moving boundary condition. Zbl 0066.10503 Douglas, Jim jun.; Gallie, T. M. jun. 39 1955 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 36 1974 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096 Douglas, Jim jun.; Dupont, Todd 35 1973 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050 Douglas, Jim jun.; Dupont, Todd 33 1973 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064 Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 32 1979 A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069 Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 31 2000 Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173 Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. 31 1994 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017 Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089 Chen, Z.; Douglas, J. jun. 27 1989 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088 Douglas, Jim jun.; Dupont, Todd 26 1971 Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124 Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X. 25 2000 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 23 1974 Generalized Forchheimer flow in porous media. Zbl 0805.35060 Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana 23 1993 Numerical methods for integrodifferential equations of parabolic and hyperbolic types. Zbl 0135.18002 Douglas, Jim jun.; Jones, B. F. jun. 22 1962 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046 Douglas, Jim jun.; Dupont, Todd 22 1973 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110 Arbogast, T.; Douglas, J. jun.; Hornung, U. 22 1991 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 22 1978 On predictor-corrector methods for nonlinear parabolic differential equations. Zbl 0116.09104 Douglas, Jim jun.; Jones, B. Jim jun. 21 1963 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084 Douglas, Jim jun.; Wang, Junping 21 1989 A survey of numerical methods for parabolic differential equations. Zbl 0133.38503 Douglas, Jim jun. 20 1961 Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124 Douglas, Jim jun.; Yuan, Yirang 19 1987 A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501 Cannon, J. R.; Douglas, Jim jun.; Hill, C. D. 19 1967 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071 Brezzi, F.; Douglas, J. jun.; Marini, L. D. 18 1986 Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124 Douglas, Jim jun. 18 1985 Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104 Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun. 17 2007 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110 Douglas, Jim jun.; Milner, F. A. 17 1985 An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114 Douglas, J. jun.; Huang, C.-S. 17 1997 Numerical methods for a model of population dynamics. Zbl 0658.65145 Douglas, J. jun.; Milner, F. A. 16 1987 Alternating direction iteration for mildly nonlinear elliptic difference equations. Zbl 0115.34702 Douglas, Jim jun. 16 1961 The stability of the boundary in a Stefan problem. Zbl 0154.36402 Cannon, J. R.; Douglas, Jim jun. 16 1967 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060 Douglas, Jim jun.; Dupont, Todd 15 1975 Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093 Chen, Zhangxin; Douglas, Jim jun. 15 1991 On the numerical integration of quasi-linear parabolic differential equations. Zbl 0074.11002 Douglas, Jim jun. 14 1956 A uniqueness theorem for the solution of a Stefan problem. Zbl 0077.40504 Douglas, Jim jun. 14 1957 On convergence of alternating direction procedures in the presence of singular operators. Zbl 0115.34701 Douglas, Jim jun.; Pearcy, C. M. 14 1963 Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100 Douglas, Jim jun. 14 1982 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128 Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P. 13 1984 Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method. Zbl 0834.65034 Olsen, Elwood T.; Douglas, Jim jun. 13 1995 A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090 Douglas, Jim jun.; Huang, Chieh-Sen 13 2001 The solution of the diffusion equation by a high order correct difference equation. Zbl 0071.09304 Douglas, Jim jun. 12 1956 The determination of a coefficient in a parabolic differential equation. II: Numerical approximation. Zbl 0112.32603 Douglas, Jim jun.; Jones, B. F. jun. 12 1962 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073 Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 The numerical simulation of miscible displacement in porous media. Zbl 0439.76087 Douglas, Jim jun. 11 1980 Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233 Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F. 11 2009 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123 Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 10 2000 On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations. Zbl 0072.14703 Douglas, Jim jun. 10 1956 Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346 Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F. 10 2006 An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062 Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona 9 2003 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516 Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 9 1991 A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020 Douglas, Craig C.; Douglas, Jim jun. 9 1993 Two high-order correct difference analogues for the equation of multidimensional heat flow. Zbl 0116.09105 Douglas, Jim jun.; Gunn, J. E. 8 1963 Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow. Zbl 0535.76121 Douglas, Jim jun.; Darlow, Bruce L.; Wheeler, Mary Fanett; Kendall, Richard P. 7 1984 A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Zbl 0920.76083 Douglas, J. jun.; Kischinhevsky, M.; Paes Leme, P. J.; Spagnuolo, A. M. 7 1998 A note on the alternating direction implicit method for the numerical solution of heat flow problems. Zbl 0077.11304 Douglas, Jim jun. 7 1957 The application of stability analysis in the numerical solution of quasi- linear parabolic differential equations. Zbl 0084.34702 Douglas, Jim jun. 7 1959 Alternating direction methods for parabolic systems in \(m\) space variables. Zbl 0112.35104 Douglas, Jim jun.; Gunn, J. E. 7 1962 Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094 Arnold, D. N.; Douglas, Jim jun. 7 1979 Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109 Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M. 6 1988 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093 Douglas, Jim jun.; Milner, F. A. 6 1983 Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions. Zbl 0921.65078 Douglas, Jim jun.; Huang, Chieh-Sen 6 1998 A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051 Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 6 1997 An approximate solution of an improper boundary value problem. Zbl 0092.31601 Douglas, Jim jun.; Gallie, T. M. jun. 6 1959 The effect of antibody-dependent enhancement, cross immunity, and vector population on the dynamics of dengue fever. Zbl 1406.92577 Hu, K.; Thoens, C.; Bianco, S.; Edlund, S.; Davis, M.; Douglas, J.; Kaufman, J. H. 6 2013 The convergence of a multidimensional, locally conservative Eulerian-Lagrangian finite element method for a semilinear parabolic equation. Zbl 1187.65100 Douglas, Jim jun.; Spagnuolo, Anna Maria; Yi, Son-Young 4 2010 Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233 Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F. 11 2009 Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104 Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun. 17 2007 Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346 Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F. 10 2006 Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087 Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu 40 2003 An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062 Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona 9 2003 The approximation of nuclear contaminant transport in porous media. Zbl 1344.76082 Douglas, Jim jun.; Huang, Chieh-Sen; Spagnuolo, Anna M. 1 2002 Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems. Zbl 1032.76031 Almeida, 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 1068.76079 Douglas, Jim jun.; Spagnuolo, Anna M. 1 2002 Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095 Douglas, Jim jun.; Kim, Seongjai 52 2001 A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090 Douglas, Jim jun.; Huang, Chieh-Sen 13 2001 Nonconforming Galerkin methods for the Helmholtz equation. Zbl 1018.65125 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 5 2001 The transport of nuclear contamination in fractured porous media. Zbl 0989.76062 Douglas, Jim jun.; Spagnuolo, Anna M. 2 2001 A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069 Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 31 2000 Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124 Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X. 25 2000 A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 10 2000 A locally conservative Eulerian-Lagrangian method for flow in a porous medium of a mixture of two components having different densities. Zbl 1014.76044 Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming 4 2000 A nonconforming mixed method for the time-harmonic Maxwell equations. Zbl 1006.78016 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo 1 2000 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 95 1999 A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047 Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu 57 1999 The modified method of characteristics with adjusted advection. Zbl 0936.65115 Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe 47 1999 A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Zbl 0920.76083 Douglas, 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 0921.65078 Douglas, Jim jun.; Huang, Chieh-Sen 6 1998 Stabilized finite element methods with fast iterative solution algorithms for the Stokes problem. Zbl 0943.76048 Cai, Zhiqiang; Douglas, Jim jun. 1 1998 On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549 Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe 53 1997 An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114 Douglas, J. jun.; Huang, C.-S. 17 1997 A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051 Douglas, 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 0911.65124 Cai, Z.; Douglas, J. jun. 1 1997 Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131 Douglas, Jim jun.; Ma, Jin; Protter, Philip 73 1996 Modelling of compositional flow in naturally fractured reservoirs. Zbl 0874.35052 Chen, Zhangxin; Douglas, Jim jun. 2 1996 Alternating-direction iteration for the \(p\)-version of the finite element method. Zbl 0843.65078 Douglas, Jim jun. 1 1996 Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method. Zbl 0834.65034 Olsen, Elwood T.; Douglas, Jim jun. 13 1995 A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081 Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E. 6 1995 A parallelizable characteristic scheme for two-phase flow. I: Single porosity models. Zbl 0833.76054 Douglas jun., Jim; Pereira, Felipe; Yeh, Li-Ming 2 1995 Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173 Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. 31 1994 A unified multigrid theory for non-nested grids and/or quadrature. Zbl 0852.65109 Douglas, 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 0813.65122 Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 42 1993 Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070 Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer 41 1993 Generalized Forchheimer flow in porous media. Zbl 0805.35060 Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana 23 1993 A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020 Douglas, Craig C.; Douglas, Jim jun. 9 1993 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109 Douglas, Jim jun.; Wang, Junping 6 1993 An alternating-direction iteration method for Helmholtz problems. Zbl 0807.65106 Douglas, Jim jun.; Hensley, Jeffrey L.; Roberts, Jean E. 5 1993 A massively parallel iterative numerical algorithm for immiscible flow in naturally fractured reservoirs. Zbl 0805.76046 Douglas, Jim jun.; Paes Leme, P. J.; Pereira, Felipe; Yeh, Li-Ming 2 1993 Flow in porous media. Proceedings of the Oberwolfach conference, Oberwolfach, Germany, June 21-27, 1992. Zbl 0795.00022 1 1993 Finite difference methods for a model for immiscible displacement in naturally fractured petroleum reservoirs. Zbl 0760.76058 Douglas, J. jun.; Paes-Leme, P. J. 1 1992 Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110 Arbogast, T.; Douglas, J. jun.; Hornung, U. 22 1991 Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093 Chen, Zhangxin; Douglas, Jim jun. 15 1991 A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516 Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd 9 1991 Simulation of waves arising in acoustic well-logging. Zbl 0838.76080 Douglas, 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 0698.76106 Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich 238 1990 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051 Douglas, Jim jun.; Wang, Junping 185 1989 Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089 Chen, Z.; Douglas, J. jun. 27 1989 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084 Douglas, Jim jun.; Wang, Junping 21 1989 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052 Brezzi, Franco; Douglas, Jim jun. 139 1988 Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109 Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M. 6 1988 Finite element methods for a composite model in elastodynamics. Zbl 0684.73034 Santos, Juan Enrique; Douglas, Jim jun.; Calderon, Alberto Pedro 5 1988 Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103 Arbogast, 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 0699.76105 Douglas, Jim jun.; Yuan, Yirang 3 1988 Superconvergence and interior estimates for a mixed finite element method for elastic waves in a planar domain. Zbl 0672.73033 Douglas, Jim jun.; Gupta, Chaitan P. 1 1988 Approximation of waves in composite media. Zbl 0682.73028 Douglas, Jim jun.; Santos, Juan E. 1 1988 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107 Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 158 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065 Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 143 1987 Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124 Douglas, Jim jun.; Yuan, Yirang 19 1987 Numerical methods for a model of population dynamics. Zbl 0658.65145 Douglas, J. jun.; Milner, F. A. 16 1987 Formulation of alternating-direction iterative methods for mixed methods in three space. Zbl 0609.65071 Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola 3 1987 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071 Brezzi, F.; Douglas, J. jun.; Marini, L. D. 18 1986 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123 Douglas, 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 0607.73027 Douglas, Jim jun.; Gupta, Chaitan P. 5 1986 Alternating-direction iteration for mixed finite element methods. Zbl 0677.65105 Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola 4 1986 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072 Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 572 1985 Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109 Douglas, Jim jun.; Roberts, Jean E. 225 1985 Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124 Douglas, Jim jun. 18 1985 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110 Douglas, Jim jun.; Milner, F. A. 17 1985 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073 Brezzi, 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 0613.65111 Douglas, Jim jun.; Gupta, Chaitan P.; Li, Guang-Yu 3 1985 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074 Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 200 1984 A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066 Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P. 139 1984 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128 Douglas, 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 0535.76121 Douglas, 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 0585.76138 Douglas, Jim jun. 5 1984 Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0535.76115 Douglas, 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 0516.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 175 1983 A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094 Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett 116 1983 Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107 Douglas, Jim jun. 84 1983 Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062 Douglas, Jim jun.; Roberts, Jean E. 79 1983 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093 Douglas, 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 0542.65062 Douglas, 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 0492.65051 Douglas, Jim jun.; Russell, Thomas F. 454 1982 Mixed finite element methods for second order elliptic problems. Zbl 0482.65057 Douglas, Jim jun.; Roberts, J. E. 46 1982 Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100 Douglas, Jim jun. 14 1982 Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062 Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar 45 1981 The numerical simulation of miscible displacement in porous media. Zbl 0439.76087 Douglas, Jim jun. 11 1980 Simulation of a linear waterflood. Zbl 0454.76014 Douglas, 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 0419.65068 Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 50 1979 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064 Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 32 1979 Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094 Arnold, D. N.; Douglas, Jim jun. 7 1979 Long wave regularization of one-dimensional, two-phase immiscible flow in porous media. Zbl 0423.76079 Douglas, Jim jun.; Kendall, R. P.; Wheeler, M. F. 2 1979 Effective time-stepping methods for the numerical solution of nonlinear parabolic problems. Zbl 0435.65095 Douglas, Jim jun. 2 1979 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 22 1978 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,705 Authors 54 Yuan, Yirang 51 Douglas, Jim jun. 50 Chen, Yanping 48 Rui, Hongxing 47 Gatica, Gabriel N. 47 Shi, Dongyang 38 Cockburn, Bernardo 37 Wheeler, Mary Fanett 31 He, Yinnian 30 Chen, Zhangxin 30 Ewing, Richard Edward 29 Li, Changfeng 29 Wang, Hong 28 Huang, Yunqing 28 Sheen, Dongwoo 26 Zhang, Zhimin 25 Yotov, Ivan 24 Feng, Xinlong 24 Guo, Hui 24 Li, Jian 24 Liang, Dong 24 Meddahi, Salim 24 Zhang, Jiansong 23 Park, Eun-Jae 23 Sun, Tongjun 22 Arbogast, Todd 21 Cannon, John Rozier 21 Ruiz-Baier, Ricardo 21 Seaïd, Mohammed 21 Wang, Junping 20 Arnold, Douglas Norman 20 Hu, Jun 20 Zhang, Shangyou 18 Codina, Ramon 18 Feng, Minfu 18 Pani, Amiya Kumar 17 Abreu, Eduardo 17 Brezzi, Franco 17 Chen, Huanzhen 17 El-Amrani, Mofdi 17 Marquez-Duran, Antonio M. 17 Santos, Juan Enrique 17 Suárez-Grau, Francisco Javier 17 Yuan, Xiaoming 17 Zhao, Weidong 16 Chen, Shaochun 16 Fairweather, Graeme 16 Han, Deren 16 Hou, Tianliang 16 Hughes, Thomas J. 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