-
1
-
-
0032776407
-
Modeling variable density flow and solute transport in porous medium. I. Numerical model and verification
-
Ackerer P, Younes A, Mosé R. Modeling variable density flow and solute transport in porous medium. I. Numerical model and verification. Transport Porous Med 1999;35:345-73.
-
(1999)
Transport Porous Med
, vol.35
, pp. 345-373
-
-
Ackerer, P.1
Younes, A.2
Mosé, R.3
-
2
-
-
84968500702
-
On the implementation of mixed methods as nonconforming methods for second order elliptic problems
-
Arbogast T, Chen Z. On the implementation of mixed methods as nonconforming methods for second order elliptic problems. Math Computat 1995;64(211):943-72.
-
(1995)
Math Computat
, vol.64
, Issue.211
, pp. 943-972
-
-
Arbogast, T.1
Chen, Z.2
-
3
-
-
11744378418
-
Enhanced cell-centered finite differences for elliptic equations on general geometry
-
Arbogast T, Dawson CN, Keenan PT, Wheeler MF, Yotov I. Enhanced cell-centered finite differences for elliptic equations on general geometry. SIAM J Sci Comput 1998;19(2):404-25.
-
(1998)
SIAM J Sci Comput
, vol.19
, Issue.2
, pp. 404-425
-
-
Arbogast, T.1
Dawson, C.N.2
Keenan, P.T.3
Wheeler, M.F.4
Yotov, I.5
-
4
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
-
Arbogast T, Wheeler MF, Yotov I. Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. SIAM J Numer Anal 1997;34(2):828-52.
-
(1997)
SIAM J Numer Anal
, vol.34
, Issue.2
, pp. 828-852
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
5
-
-
0000325197
-
A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media
-
Arbogast T, Wheeler MF, Zhang NY. A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media. SIAM J Numer Anal 1996;33(4):1669-87.
-
(1996)
SIAM J Numer Anal
, vol.33
, Issue.4
, pp. 1669-1687
-
-
Arbogast, T.1
Wheeler, M.F.2
Zhang, N.Y.3
-
6
-
-
0031250556
-
A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids
-
Arbogast T, Yotov I. A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. Comp Meth Appl Mech Eng 1997;149(1-4):255-65.
-
(1997)
Comp Meth Appl Mech Eng
, vol.149
, Issue.1-4
, pp. 255-265
-
-
Arbogast, T.1
Yotov, I.2
-
7
-
-
0002515487
-
Efficient management of parallelism in object oriented numerical software libraries
-
Arge E, Bruaset AM, Langtangen HP. editors. Boston, MA: Birkhauser
-
Balay S, Gropp WD, McInnes LC, Smith BF. Efficient managementof parallelism in object oriented numerical software libraries.In: Arge E, Bruaset AM, Langtangen HP, editors. Modernsoftware tools in scientific computing. Boston, MA: Birkhauser;1997. p. 163-202.
-
(1997)
Modern Software Tools in Scientific Computing
, pp. 163-202
-
-
Balay, S.1
Gropp, W.D.2
McInnes, L.C.3
Smith, B.F.4
-
9
-
-
0003733850
-
-
Technical Report ANL-95/11 - Revision 2.0.28, Argonne National Laboratory
-
Balay S, Gropp WD, McInnes LC, Smith BF. PETSc 2.0 users manual. Technical Report ANL-95/11--Revision 2.0.28, Argonne National Laboratory, 2000.
-
(2000)
PETSc 2.0 Users Manual
-
-
Balay, S.1
Gropp, W.D.2
McInnes, L.C.3
Smith, B.F.4
-
10
-
-
0033587522
-
Mixed finite elements and Newton-type linearizations for the solution of Richards' equation
-
Bergamaschi L, Putti M. Mixed finite elements and Newton-type linearizations for the solution of Richards' equation. Int J Numer Meth Eng 1999;45:1025-46.
-
(1999)
Int J Numer Meth Eng
, vol.45
, pp. 1025-1046
-
-
Bergamaschi, L.1
Putti, M.2
-
13
-
-
0027037109
-
A mass conservative numerical solution for two-phase flow in porous media with application to unsaturated flow
-
Celia MA, Binning P. A mass conservative numerical solution for two-phase flow in porous media with application to unsaturated flow. Water Resour Res 1992;28(10):2819-28.
-
(1992)
Water Resour Res
, vol.28
, Issue.10
, pp. 2819-2828
-
-
Celia, M.A.1
Binning, P.2
-
14
-
-
0025585761
-
A general mass-conservative numerical solution for the unsaturated flow equation
-
Celia MA, Bouloutas ET, Zarba RL. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resour Res 1990;26(7): 1483-96.
-
(1990)
Water Resour Res
, vol.26
, Issue.7
, pp. 1483-1496
-
-
Celia, M.A.1
Bouloutas, E.T.2
Zarba, R.L.3
-
15
-
-
0026398228
-
A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in water flow problems
-
Chavent G, Roberts JE. A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in water flow problems. Adv Water Resour 1991;14(6):329-48.
-
(1991)
Adv Water Resour
, vol.14
, Issue.6
, pp. 329-348
-
-
Chavent, G.1
Roberts, J.E.2
-
16
-
-
0031141903
-
From single-phase to compositional flow: Applicability of mixed finite elements
-
Chen Z, Ewing RE. From single-phase to compositional flow: applicability of mixed finite elements. Transport Porous Med 1997;27:225-42.
-
(1997)
Transport Porous Med
, vol.27
, pp. 225-242
-
-
Chen, Z.1
Ewing, R.E.2
-
17
-
-
0000761187
-
Fully discrete finite element analysis of multiphase flow in groundwater hydrology
-
Chen Z, Ewing RE. Fully discrete finite element analysis of multiphase flow in groundwater hydrology. SIAM J Numer Anal 1997;34(6):2228-53.
-
(1997)
SIAM J Numer Anal
, vol.34
, Issue.6
, pp. 2228-2253
-
-
Chen, Z.1
Ewing, R.E.2
-
18
-
-
0030371492
-
Domain decomposition algorithms for mixed methods for second-order elliptic problems
-
Chen Z, Ewing RE, Lazarov R. Domain decomposition algorithms for mixed methods for second-order elliptic problems. Math Computat 1996;65 (214):467-90.
-
(1996)
Math Computat
, vol.65
, Issue.214
, pp. 467-490
-
-
Chen, Z.1
Ewing, R.E.2
Lazarov, R.3
-
19
-
-
0040373553
-
Multilevel preconditioners for mixed methods for second order elliptic problems
-
Chen Z, Ewing RE, Lazarov RD, Maliassov S, Kuznetsov YA. Multilevel preconditioners for mixed methods for second order elliptic problems. Numer Linear Algebra Appl 1996;3(5):427-53.
-
(1996)
Numer Linear Algebra Appl
, vol.3
, Issue.5
, pp. 427-453
-
-
Chen, Z.1
Ewing, R.E.2
Lazarov, R.D.3
Maliassov, S.4
Kuznetsov, Y.A.5
-
20
-
-
0033556211
-
Simulation of water flow and heat transfer in soils by means of a mixed finite element method
-
Chounet LM, Hilhorst D, Jouron C, Kelanemer Y, Nicolas P. Simulation of water flow and heat transfer in soils by means of a mixed finite element method. Adv Water Resour 1999;22(5):445-60.
-
(1999)
Adv Water Resour
, vol.22
, Issue.5
, pp. 445-460
-
-
Chounet, L.M.1
Hilhorst, D.2
Jouron, C.3
Kelanemer, Y.4
Nicolas, P.5
-
21
-
-
0027068827
-
Continuous groundwater velocity field and path lines in linear, bilinear, and trilinear finite elements
-
Cordes C, Kinzelbach K. Continuous groundwater velocity field and path lines in linear, bilinear, and trilinear finite elements. Water Resour Res 1992;28(11):2903-11.
-
(1992)
Water Resour Res
, vol.28
, Issue.11
, pp. 2903-2911
-
-
Cordes, C.1
Kinzelbach, K.2
-
23
-
-
0000560544
-
Solution of parabolic equations by backward Euler-mixed finite element methods on a dynamically changing mesh
-
Dawson CN, Kirby R. Solution of parabolic equations by backward Euler-mixed finite element methods on a dynamically changing mesh. SIAM J Numer Anal 2000;37(2):423-42.
-
(2000)
SIAM J Numer Anal
, vol.37
, Issue.2
, pp. 423-442
-
-
Dawson, C.N.1
Kirby, R.2
-
24
-
-
0001430079
-
A two-grid finite difference scheme for nonlinear parabolic equations
-
Dawson CN, Wheeler MF, Woodward CS. A two-grid finite difference scheme for nonlinear parabolic equations. SIAM J Numer Anal. 1998;35(2):435-52.
-
(1998)
SIAM J Numer Anal
, vol.35
, Issue.2
, pp. 435-452
-
-
Dawson, C.N.1
Wheeler, M.F.2
Woodward, C.S.3
-
26
-
-
0034817780
-
Multi-scale and multi-resolution stochastic modeling of subsurface heterogeneity by tree-indexed Markov chains
-
Dekking M, Elfeki A, Kraaikamp C, Bruining J. Multi-scale and multi-resolution stochastic modeling of subsurface heterogeneity by tree-indexed Markov chains. Computat Geosci. 2001;5:47-60.
-
(2001)
Computat Geosci
, vol.5
, pp. 47-60
-
-
Dekking, M.1
Elfeki, A.2
Kraaikamp, C.3
Bruining, J.4
-
28
-
-
0028562727
-
Accuracy of mixed and control volume finite element approximations to Darcy velocity and related quantities
-
Durlofsky LJ. Accuracy of mixed and control volume finite element approximations to Darcy velocity and related quantities. Water Resour Res 1994;30(4):965-73.
-
(1994)
Water Resour Res
, vol.30
, Issue.4
, pp. 965-973
-
-
Durlofsky, L.J.1
-
29
-
-
0036147484
-
Mixed finite element methods and higher-order temporal approximations
-
Farthing MW, Kees CE, Miller CT. Mixed finite element methods and higher-order temporal approximations. Adv Water Resour 2002;25(1):85-101.
-
(2002)
Adv Water Resour
, vol.25
, Issue.1
, pp. 85-101
-
-
Farthing, M.W.1
Kees, C.E.2
Miller, C.T.3
-
30
-
-
0029413107
-
Robust numerical methods for saturated-unsaturated flow with dry initial conditions in heterogeneous media
-
Forsyth PA, Wu Y-S, Pruess K. Robust numerical methods for saturated-unsaturated flow with dry initial conditions in heterogeneous media. Adv Water Resour 1995;18:25-38.
-
(1995)
Adv Water Resour
, vol.18
, pp. 25-38
-
-
Forsyth, P.A.1
Wu, Y.-S.2
Pruess, K.3
-
31
-
-
0001099785
-
Domain decomposition and mixed finite element methods for elliptic problems
-
Glowinski R, Golub GH, Meurant GA, Periaux J, editors. Philadelphia, PA. SIAM
-
Glowinski R, Wheeler MF. Domain decomposition and mixed finite element methods for elliptic problems. In: Glowinski R, Golub GH, Meurant GA, Periaux J, editors. First International Symposium on Domain Decomposition Methods for Partial Differential Equations, Philadelphia, PA. SIAM; 1988. p. 144-72.
-
(1988)
First International Symposium on Domain Decomposition Methods for Partial Differential Equations
, pp. 144-172
-
-
Glowinski, R.1
Wheeler, M.F.2
-
34
-
-
0031572117
-
Adaptive mesh refinement and multilevel iteration for flow in porous media
-
Hornung RD, Trangenstein J A. Adaptive mesh refinement and multilevel iteration for flow in porous media. J Computat Phys 1997;136(2):522-45.
-
(1997)
J Computat Phys
, vol.136
, Issue.2
, pp. 522-545
-
-
Hornung, R.D.1
Trangenstein, J.A.2
-
35
-
-
0033617077
-
Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach
-
Huber R, Helmig R. Multiphase flow in heterogeneous porous media: a classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach. Int J Numer Meth Fluids 1999;29:899-20.
-
(1999)
Int J Numer Meth Fluids
, vol.29
, pp. 899-920
-
-
Huber, R.1
Helmig, R.2
-
36
-
-
0033617551
-
Numerical approximation of head and flux covariances in three dimensions using mixed finite elements
-
James AI, Graham WD. Numerical approximation of head and flux covariances in three dimensions using mixed finite elements. Adv Water Resour 1999;22(7):729-40.
-
(1999)
Adv Water Resour
, vol.22
, Issue.7
, pp. 729-740
-
-
James, A.I.1
Graham, W.D.2
-
37
-
-
0036223292
-
An aggregation-based domain decomposition preconditioner for groundwater flow
-
Jenkins EW, Kees CE, Kelley CT, Miller CT. An aggregation-based domain decomposition preconditioner for groundwater flow. SIAM J Sci Comput 2001;23(2):430-41.
-
(2001)
SIAM J Sci Comput
, vol.23
, Issue.2
, pp. 430-441
-
-
Jenkins, E.W.1
Kees, C.E.2
Kelley, C.T.3
Miller, C.T.4
-
38
-
-
0030953428
-
Mass types, element orders and solution schemes for the Richards equation
-
Ju S-H, Kung K-J Mass types, element orders and solution schemes for the Richards equation. Comput Geosci 1997;23(2):175-87.
-
(1997)
Comput Geosci
, vol.23
, Issue.2
, pp. 175-187
-
-
Ju, S.-H.1
Kung, K.-J.S.2
-
39
-
-
0035366337
-
Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards' equation
-
Kavetski D, Binning P, Sloan SW. Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards' equation. Adv Water Resour 2001;24:595-605.
-
(2001)
Adv Water Resour
, vol.24
, pp. 595-605
-
-
Kavetski, D.1
Binning, P.2
Sloan, S.W.3
-
41
-
-
0000253859
-
C++ implementations of numerical methods for solving differential-algebraic equations: Design and optimization considerations
-
Kees CE, Miller CT. C++ implementations of numerical methods for solving differential-algebraic equations: design and optimization considerations. Assoc Comput Machinery, Trans Math Software 1999;25(4):377-403.
-
(1999)
Assoc Comput Machinery, Trans Math Software
, vol.25
, Issue.4
, pp. 377-403
-
-
Kees, C.E.1
Miller, C.T.2
-
42
-
-
0036475685
-
Higher order time integration methods for two-phase flow
-
Kees CE, Miller CT. Higher order time integration methods for two-phase flow. Adv Water Resour 2002;25(2):159-77.
-
(2002)
Adv Water Resour
, vol.25
, Issue.2
, pp. 159-177
-
-
Kees, C.E.1
Miller, C.T.2
-
43
-
-
0032101424
-
Comparison of iterative methods for improved solutions of the fluid flow equation in partially saturated porous media
-
Lehmann F, Ackerer Ph. Comparison of iterative methods for improved solutions of the fluid flow equation in partially saturated porous media. Transport Porous Med 1998;31(3):275-92.
-
(1998)
Transport Porous Med
, vol.31
, Issue.3
, pp. 275-292
-
-
Lehmann, F.1
Ackerer, Ph.2
-
44
-
-
0029663246
-
The influence of mass transfer characteristics and porous media heterogeneity on nonaqueous phase dissolution
-
Mayer AS, Miller CT. The influence of mass transfer characteristics and porous media heterogeneity on nonaqueous phase dissolution. Water Resour Res 1996;32(6):1551-67.
-
(1996)
Water Resour Res
, vol.32
, Issue.6
, pp. 1551-1567
-
-
Mayer, A.S.1
Miller, C.T.2
-
45
-
-
0036208212
-
On some mixed finite element methods with numerical integration
-
Micheletti S, Sacco R, Saleri F. On some mixed finite element methods with numerical integration. SIAM J Sci Comput 2001;23(1):245-70.
-
(2001)
SIAM J Sci Comput
, vol.23
, Issue.1
, pp. 245-270
-
-
Micheletti, S.1
Sacco, R.2
Saleri, F.3
-
46
-
-
0031689647
-
Robust solution of Richards' equation for non-uniform porous media
-
Miller CT, Williams GA, Kelley CT, Tocci MD. Robust solution of Richards' equation for non-uniform porous media. Water Resour Res 1998;34(10):2599-610.
-
(1998)
Water Resour Res
, vol.34
, Issue.10
, pp. 2599-2610
-
-
Miller, C.T.1
Williams, G.A.2
Kelley, C.T.3
Tocci, M.D.4
-
47
-
-
0032053644
-
A numerical model for transient-hysteretic flow and solute transport in unsaturated porous media
-
Mitchell RJ, Mayer AS. A numerical model for transient-hysteretic flow and solute transport in unsaturated porous media. J Contamin Hydrol 1998;50:243-64.
-
(1998)
J Contamin Hydrol
, vol.50
, pp. 243-264
-
-
Mitchell, R.J.1
Mayer, A.S.2
-
48
-
-
0028669967
-
Application of the mixed hybrid finite element approximation in a groundwater flow model: luxury or necessity?
-
Mosé R Siegel P, Ackerer P. Application of the mixed hybrid finite element approximation in a groundwater flow model: luxury or necessity?. Water Resour Res 1994;30(11):3001-12.
-
(1994)
Water Resour Res
, vol.30
, Issue.11
, pp. 3001-3012
-
-
Mosé, R.1
Siegel, P.2
Ackerer, P.3
-
49
-
-
0016961814
-
A new model for predicting the hydraulic conductivity of unsaturated porous media
-
Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 1976;12(3):513-22.
-
(1976)
Water Resour Res
, vol.12
, Issue.3
, pp. 513-522
-
-
Mualem, Y.1
-
50
-
-
0028578603
-
Mass conservative numerical solutions of the head-based Richards equation
-
Rathfelder K, Abriola LM. Mass conservative numerical solutions of the head-based Richards equation. Water Resour Res 1994;30(9):2579-86.
-
(1994)
Water Resour Res
, vol.30
, Issue.9
, pp. 2579-2586
-
-
Rathfelder, K.1
Abriola, L.M.2
-
51
-
-
0343831462
-
Part II. Discontinous Galerkin method applied to a single phase flow in porous media
-
Rivière B, Wheeler MF, Banaś K. Part II. Discontinous Galerkin method applied to a single phase flow in porous media. Computat Geosci 2000;4:337-49.
-
(2000)
Computat Geosci
, vol.4
, pp. 337-349
-
-
Rivière, B.1
Wheeler, M.F.2
Banaś, K.3
-
53
-
-
0003796886
-
-
Technical Report Research Report 132, US Salinity Laboratory, Agriculatural Research Service, US Department of Agriculture, Riverside, CA
-
Simunek J, Vogel T, van Genuchten MTh. The SWMS_2D code for simulating water flow and solute transport in two-dimensional variably saturated media. Technical Report Research Report 132, US Salinity Laboratory, Agriculatural Research Service, US Department of Agriculture, Riverside, CA, 1994
-
(1994)
The SWMS_2D Code for Simulating Water Flow and Solute Transport in Two-dimensional Variably Saturated Media
-
-
Simunek, J.1
Vogel, T.2
van Genuchten, M.Th.3
-
55
-
-
0031079742
-
Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
-
Tocci MD, Kelley CT, Miller CT. Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines. Adv Water Resour 1997;20(1):1-14.
-
(1997)
Adv Water Resour
, vol.20
, Issue.1
, pp. 1-14
-
-
Tocci, M.D.1
Kelley, C.T.2
Miller, C.T.3
-
56
-
-
0032453911
-
Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions
-
Tocci MD, Kelley CT, Miller CT, Kees CE. Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions. Computat Geosci 1999;2(4):291-309.
-
(1999)
Computat Geosci
, vol.2
, Issue.4
, pp. 291-309
-
-
Tocci, M.D.1
Kelley, C.T.2
Miller, C.T.3
Kees, C.E.4
-
57
-
-
0033971827
-
Upscaling of anisotropy in unsaturated Miller-similar porous media
-
Ursino N, Roth K, Gimmi T, Flühler H. Upscaling of anisotropy in unsaturated Miller-similar porous media. Water Resour Res 2000;36(2):421-30.
-
(2000)
Water Resour Res
, vol.36
, Issue.2
, pp. 421-430
-
-
Ursino, N.1
Roth, K.2
Gimmi, T.3
Flühler, H.4
-
58
-
-
0019057216
-
A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
-
van Genuchten MTh A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 1980;44:892-8.
-
(1980)
Soil Sci Soc Am J
, vol.44
, pp. 892-898
-
-
van Genuchten, M.Th.1
-
59
-
-
0033597588
-
An evaluation of temporally adaptive transformation approaches for solving Richards' equation
-
Williams GA, Miller CT. An evaluation of temporally adaptive transformation approaches for solving Richards' equation. Adv Water Resour 1999;22(8):831-40.
-
(1999)
Adv Water Resour
, vol.22
, Issue.8
, pp. 831-840
-
-
Williams, G.A.1
Miller, C.T.2
-
60
-
-
0034029334
-
Transformation approaches for simulating flow in variably saturated porous media
-
Williams GA, Miller CT, Kelley CT. Transformation approaches for simulating flow in variably saturated porous media. Water Resour Res 2000;36(4):923-34.
-
(2000)
Water Resour Res
, vol.36
, Issue.4
, pp. 923-934
-
-
Williams, G.A.1
Miller, C.T.2
Kelley, C.T.3
-
61
-
-
0001077416
-
Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media
-
Woodward CS, Dawson CN. Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media. SIAM J Numer Anal 2000;37(3):701-24.
-
(2000)
SIAM J Numer Anal
, vol.37
, Issue.3
, pp. 701-724
-
-
Woodward, C.S.1
Dawson, C.N.2
-
62
-
-
0035135098
-
On the selection of primary variables in numerical formulation for modeling multiphase flow in porous media
-
Wu Y-S, Forsyth PA. On the selection of primary variables in numerical formulation for modeling multiphase flow in porous media. J Contamin Hydrol 2001;48:277-304.
-
(2001)
J Contamin Hydrol
, vol.48
, pp. 277-304
-
-
Wu, Y.-S.1
Forsyth, P.A.2
-
64
-
-
0001264684
-
A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements
-
Younes A, Mosé R, Ackerer P, Chavent G. A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements. J Comp Phys 1999;149:148-67.
-
(1999)
J Comp Phys
, vol.149
, pp. 148-167
-
-
Younes, A.1
Mosé, R.2
Ackerer, P.3
Chavent, G.4
-
65
-
-
0027040672
-
Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils
-
Zaidel J, Russo D. Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils. Water Resour Res 1992;28(9):2285-95.
-
(1992)
Water Resour Res
, vol.28
, Issue.9
, pp. 2285-2295
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Zaidel, J.1
Russo, D.2
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