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Douglas, Jim jun. (b. 1927 d. 2016)

Author ID: douglas.jim-jun Recent zbMATH articles by "Douglas, Jim jun."
Published as: Douglas, Jim jun.; Douglas, J. jun.; Douglas, Jim; Douglas, J.; Douglas jun., Jim
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
2,077 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

Publications by Year

Citations contained in zbMATH Open

157 Publications have been cited 5,956 times in 4,117 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.
559
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.
523
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.
448
1982
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
228
1990
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
219
1985
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
197
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
172
1983
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
154
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
141
1987
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
137
1964
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
136
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.
134
1984
Galerkin methods for parabolic equations. Zbl 0224.35048
Douglas, Jim jun.; Dupont, Todd
133
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.
114
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
94
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.
85
1955
Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107
Douglas, Jim jun.
83
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
70
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
64
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 Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072
Douglas, Jim jun.; Dupont, Todd
60
1975
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
56
1999
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
51
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
49
1979
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
48
1974
The modified method of characteristics with adjusted advection. Zbl 0936.65115
Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe
47
1999
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
Mixed finite element methods for second order elliptic problems. Zbl 0482.65057
Douglas, Jim jun.; Roberts, J. E.
45
1982
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
The Cauchy problem for the heat equations. Zbl 0154.36502
Cannon, J. R.; Douglas, Jim jun.
41
1967
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
40
1981
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
39
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
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
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
Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110
Arbogast, T.; Douglas, J. jun.; Hornung, U.
22
1991
Generalized Forchheimer flow in porous media. Zbl 0805.35060
Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana
22
1993
Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088
Douglas, Jim jun.; Dupont, Todd
22
1971
Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046
Douglas, Jim jun.; Dupont, Todd
22
1973
Numerical methods for integrodifferential equations of parabolic and hyperbolic types. Zbl 0135.18002
Douglas, Jim jun.; Jones, B. F. jun.
22
1962
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
20
1989
A survey of numerical methods for parabolic differential equations. Zbl 0133.38503
Douglas, Jim jun.
20
1961
A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501
Cannon, J. R.; Douglas, Jim jun.; Hill, C. D.
19
1967
Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124
Douglas, Jim jun.
18
1985
Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124
Douglas, Jim jun.; Yuan, Yirang
18
1987
Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110
Douglas, Jim jun.; Milner, F. A.
17
1985
Numerical methods for a model of population dynamics. Zbl 0658.65145
Douglas, J. jun.; Milner, F. A.
16
1987
An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114
Douglas, J. jun.; Huang, C.-S.
16
1997
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
16
1986
Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104
Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun.
16
2007
The stability of the boundary in a Stefan problem. Zbl 0154.36402
Cannon, J. R.; Douglas, Jim jun.
16
1967
Alternating direction iteration for mildly nonlinear elliptic difference equations. Zbl 0115.34702
Douglas, Jim jun.
16
1961
Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093
Chen, Zhangxin; Douglas, Jim jun.
15
1991
The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060
Douglas, Jim jun.; Dupont, Todd
15
1975
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
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
A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090
Douglas, Jim jun.; Huang, Chieh-Sen
13
2001
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
Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100
Douglas, Jim jun.
12
1982
Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073
Brezzi, F.; Douglas, Jim jun.; Marini, L. D.
12
1985
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
Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233
Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F.
11
2009
The numerical simulation of miscible displacement in porous media. Zbl 0439.76087
Douglas, Jim jun.
11
1980
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
Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346
Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F.
10
2006
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
A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020
Douglas, Craig C.; Douglas, Jim jun.
9
1993
An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062
Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona
9
2003
A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo
9
2000
A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516
Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd
9
1991
Two high-order correct difference analogues for the equation of multidimensional heat flow. Zbl 0116.09105
Douglas, Jim jun.; Gunn, J. E.
8
1963
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
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
Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093
Douglas, Jim jun.; Milner, F. A.
6
1983
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
A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081
Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E.
6
1995
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
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.
16
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
39
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
51
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
9
2000
A locally conservative Eulerian-Lagrangian method for flow in a porous medium of a mixture of two components having different densities. Zbl 1014.76044
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
94
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
56
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.
16
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
70
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
22
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
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
228
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
20
1989
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
136
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
2
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
154
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
141
1987
Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124
Douglas, Jim jun.; Yuan, Yirang
18
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.
16
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.
559
1985
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
219
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.
197
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.
134
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
172
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.
83
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.
448
1982
Mixed finite element methods for second order elliptic problems. Zbl 0482.65057
Douglas, Jim jun.; Roberts, J. E.
45
1982
Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100
Douglas, Jim jun.
12
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
40
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
49
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
A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058
Douglas, Jim jun.; Dupont, Todd; Percell, Peter
4
1978
...and 57 more Documents
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Cited by 4,588 Authors

54 Yuan, Yirang
51 Douglas, Jim jun.
49 Chen, Yanping
47 Gatica, Gabriel N.
46 Rui, Hongxing
44 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 Sheen, Dongwoo
27 Huang, Yunqing
25 Yotov, Ivan
25 Zhang, Zhimin
24 Guo, Hui
24 Li, Jian
24 Liang, Dong
24 Meddahi, Salim
23 Feng, Xinlong
23 Park, Eun-Jae
23 Zhang, Jiansong
22 Sun, Tongjun
21 Arbogast, Todd
21 Cannon, John Rozier
21 Seaïd, Mohammed
21 Wang, Junping
20 Arnold, Douglas Norman
20 Hu, Jun
20 Ruiz-Baier, Ricardo
20 Zhang, Shangyou
18 Codina, Ramon
17 Abreu, Eduardo
17 Brezzi, Franco
17 Chen, Huanzhen
17 El-Amrani, Mofdi
17 Feng, Minfu
17 Marquez-Duran, Antonio M.
17 Pani, Amiya Kumar
17 Santos, Juan Enrique
17 Suárez-Grau, Francisco Javier
17 Yuan, Xiaoming
16 Han, Deren
16 Hou, Tianliang
16 Hughes, Thomas J. R.
16 Loula, Abimael Fernando Dourado
16 Yang, Danping
16 Ye, Xiu
15 Chen, Shaochun
15 Fairweather, Graeme
15 Si, Zhiyong
15 Stenberg, Rolf
15 Xu, Jinchao
15 Zhao, Weidong
15 Zou, Qingsong
14 Dupont, Todd F.
14 Guzmán, Johnny
14 Lin, Yanping
14 Rivière, Beatrice M.
14 Winther, Ragnar
13 Bauschke, Heinz H.
13 Carstensen, Carsten
13 Fu, Hongfei
13 Kim, Seongjai
13 Kwak, Do Young
13 Lee, Jeonghun J.
13 Xie, Xiaoping
13 Yang, Yang
12 Chen, Chuanjun
12 Chung, Tsz Shun Eric
12 Guan, Hongbo
12 Pankratov, Leonid S.
12 Phan, Hung M.
12 Qiu, Weifeng
12 Sun, Weiwei
11 Bi, Chunjia
11 Bialecki, Bernard
11 Buscaglia, Gustavo Carlos
11 Cheng, Aijie
11 Dao, Minh Ngoc
11 Feng, Xiaobing
11 Franca, Leopoldo Luis Cabo Penna
11 Ginting, Victor
11 Knabner, Peter
11 Neilan, Michael
11 Sayas, Francisco-Javier
11 Vohralík, Martin
11 Yang, Qing
10 Devloo, Philippe Remy Bernard
10 Duan, Huoyuan
10 Hadjidimos, Apostolos
10 Lapin, Aleksandr Vasil’evich
10 Li, Hong
10 Li, Xiaoli
10 Marini, Luisa Donatella
10 Ohm, Mi-Ray
10 Schöberl, Joachim
10 Song, Huailing
...and 4,488 more Authors
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Cited in 384 Serials

337 Computer Methods in Applied Mechanics and Engineering
268 Journal of Computational and Applied Mathematics
180 Computers & Mathematics with Applications
180 Numerische Mathematik
176 Mathematics of Computation
160 Journal of Scientific Computing
157 Applied Mathematics and Computation
150 Journal of Computational Physics
128 Applied Numerical Mathematics
118 Numerical Methods for Partial Differential Equations
79 SIAM Journal on Numerical Analysis
63 SIAM Journal on Scientific Computing
61 Journal of Mathematical Analysis and Applications
55 Computational Geosciences
45 Calcolo
45 International Journal of Computer Mathematics
43 Numerical Algorithms
41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
37 Advances in Computational Mathematics
36 Mathematics and Computers in Simulation
32 RAIRO. Modélisation Mathématique et Analyse Numérique
31 Advances in Applied Mathematics and Mechanics
29 Applicable Analysis
28 Computers and Fluids
27 International Journal for Numerical Methods in Fluids
27 Science China. Mathematics
26 Journal of Optimization Theory and Applications
25 Applied Mathematics and Mechanics. (English Edition)
25 Applications of Mathematics
25 Applied Mathematical Modelling
23 Mathematical Methods in the Applied Sciences
23 Computational and Applied Mathematics
22 International Journal for Numerical Methods in Engineering
20 Computing
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20 International Journal of Numerical Analysis and Modeling
19 Mathematical Programming. Series A. Series B
19 Computational Optimization and Applications
18 SIAM Journal on Optimization
18 Computational Methods in Applied Mathematics
17 Journal of Differential Equations
17 Journal of Applied Mathematics and Computing
16 Mathematical Problems in Engineering
15 Archive for Rational Mechanics and Analysis
15 BIT
15 Acta Mathematicae Applicatae Sinica. English Series
15 Applied Mathematics Letters
15 Journal of Global Optimization
15 Journal of Applied Mathematics
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Applied Mathematics. Series B (English Edition)
13 Communications in Numerical Methods in Engineering
13 Engineering Analysis with Boundary Elements
13 Abstract and Applied Analysis
13 Journal of Numerical Mathematics
13 Communications in Computational Physics
12 Journal of Fluid Mechanics
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Applied Mathematics and Optimization
12 RAIRO. Analyse Numérique
12 Computational Mechanics
12 Advances in Difference Equations
12 SIAM Journal on Imaging Sciences
11 Journal of Computational Mathematics
11 Japan Journal of Industrial and Applied Mathematics
11 Numerical Linear Algebra with Applications
11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Journal of the Operations Research Society of China
10 East Asian Journal on Applied Mathematics
9 Mathematical and Computer Modelling
9 International Journal of Numerical Methods for Heat & Fluid Flow
9 Communications in Nonlinear Science and Numerical Simulation
9 Nonlinear Analysis. 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 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 Discrete and Continuous Dynamical Systems. Series B
7 Optimization Letters
7 Advances in Mathematical Physics
7 Set-Valued and Variational Analysis
7 SMAI Journal of Computational Mathematics
6 International Journal of Engineering Science
6 Transactions of the American Mathematical Society
6 Optimization
6 Linear Algebra and its Applications
6 Stochastic Processes and their Applications
6 Computing and Visualization in Science
6 Foundations of Computational Mathematics
...and 284 more Serials
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Cited in 52 Fields

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96 Probability theory and stochastic processes (60-XX)
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90 Biology and other natural sciences (92-XX)
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