PUBLICATIONS

1. (with E. Abreu, F. Furtado, D. Marchesin, and F. Pereira) Three-phase immiscible displacement in heterogeneous petroleum reservoirs, Mathematics and Computers in Simulation, 73 (2006) 2-20. three.pdf
2. (with H. Lim and S. Kim) Numerical methods for viscous and nonviscous wave equations, Applied Numerical Mathematics, 57 (2007) 194-212. dlk.pdf
3. (with D. Frias, N. Henderson, and F. Pereira) Simulation of single-phase multicomponent flow problems in gas reservoirs by Eulerian-Lagrangian techniques, Transport in Porous Media, 50 (2003) 307-342. onedgas.pdf
4. (with Seongjai Kim and Hyeona Lim) An improved alternating-direction method for a viscous wave equation, In ``Current Trends in Scientific Computing", Z. Chen, R. Glowinski, and Kaitai Li, eds., Contemporary Mathematics, 329 (2003) 99-104. xian.ps.gz <\LI>
5. (with D. Frias and F. Pereira) Operator splitting for compressible miscible displacement in porous media, In ``Scientific Computiing and Applications - Advances in Computation: Theory and Practice", P. Minev and Y. Lin (eds.), Huntingdon: Nova Science Publishers, 7 (2001) 67-74. opersplit.pdf
6. (with A. M. Spagnuolo) Parameter estimates for high-level nuclear transport in fractured porous media, In ``Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment", Z. Chen and R. E. Ewing, eds., Contemporary Mathematics, 295 (2001) 173-183. parameters.ps.gz
7. (with F. Pereira and L.-M. Yeh) Relations between phase mobilities and capillary pressures for two-phase flows in fractured reservoirs, In ``Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment", Z. Chen and R. E. Ewing, eds., Contemporary Mathematics, 295 (2001) 159-171. relations.ps.gz
8. (with F. Pereira and L. C. Roman) Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for 3-D porous media flow, In ``Computational Methods in Water resources XIV, vol.~II, Mathematical and Numerical Modeling for Subsurface and Surface Problems", 2002, pp. 971-978. delft.ps.gz
9. (with Z. Cai and M. Park) Development and analysis of higher order finite volume methods over rectangles for elliptic equations, Advances in Computational Mathematics, 19 (2003) 3-33. rect.ps.gz
10. (with C. Almeida, F. Pereira, L. C. Roman, and L.-M. Yeh) Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems, In ``Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment", Z. Chen and R. E. Ewing, eds., Contemporary Mathematics, 295 (2001) 37-48. algor_ams.ps.gz
11. (with J. E. Santos and D. Sheen) Nonconforming Galerkin methods for the Helmholtz equation, Numerical Methods for Partial Differential Equations, 17 (2001) 475-494. nchelm.ps.gz
12. (with Seongjai Kim) Improved accuracy for locally one-dimensional methods for parabolic equations, Mathematical Models and Methods in Applied Science, 11 (2001) 1563-1579. improvedadi.ps.gz
13. (with C.-S. Huang and A. M. Spagnuolo) The approximation of nuclear contaminant transport in porous media, Computational and Applied Mathematics, 21 (2002) 409-428. brazil.ps.gz
14. (with A. Spagnuolo) The transport of nuclear contamination in fractured porous media, J. Korean Math. Soc., 38 (2001) 723-761. korea.ps.gz
15. (with J. E. Santos and D. Sheen) A nonconforming mixed method for the Maxwell equations, WAVES2000 santiago.ps.gz
16. (with C.-S. Huang) The convergence of a locally conservative Eulerian-Lagrangian finite difference method for a semilinear parabolic equation, BIT, 41 (2001) 480-489. lcelmfd.ps.gz
17. (with D. Frias and F. Pereira) Operator splitting for compressible miscible displacement in porous media, In ``Scientific Computing and Applications," P. Minev and Y. Lin, eds., Advances in Computation: Theory and Practice, 7 (2001) 67-74, Nova Science Publishers, Huntington, New York. opsplit.ps.gz
18. (with C. Almeida and F. Pereira) A new characteristics-based numerical method for miscible displacement in heterogeneous formations, Computational and Applied Mathematics, 21 (2002) 573-605. mmocaahet.ps.gz
19. (with D. Frias, N. Henderson, and F. Pereira) Simulation of single-phase multicomponent flow problems in gas reservoirs by Eulerian-Lagrangian techniques, Transport in Porous Media, 50 (2003) 307-342. gas.ps.gz
20. (with F. Pereira and L.-M. Yeh) A locally conservative Eulerian-Lagrangian method and its application to nonlinear transport in porous media, Computational Geosciences, 4 (2000) 1-40. lcelm.ps.gz
21. (with F. Pereira and L.-M. Yeh) A locally conservative Eulerian-Lagrangian method for flow in a porous medium of a mixture of two components having different densities, in Numerical Treatment of Multiphase Flows in Porous Media, Z. Chen, R. E. Ewing, and Z. C. Shi (eds.), Lecture Notes in Physics 552 (2000) 138-155, Springer Verlag, Heidelberg. binmix.ps.gz
22. (with J. E. Santos and D. Sheen) A nonconforming mixed finite element method for Maxwell's equations, Mathematical Models and Methods in Applied Sciences, 10 (2000) 593-613. ncmax.ps.gz
23. (with Z. Cai, J. E. Santos, D. Sheen, and X. Ye) Nonconforming quadrilateral finite elements: a correction, Calcolo, 37 (2000), 253-254. correction.ps.gz
24. (with Z. Cai and X. Ye) A stable nonconforming quadrilateral finite element method for the Stokes and Navier-Stokes equations, Calcolo, 36 (1999), 215-232. ncstokes.ps.gz
25. (with C.-S. Huang, and F. Pereira) The modified method of characteristics with adjusted advection, Numerische Mathematik, 83 (1999) 353--369. mmocaaconv.ps.gz
26. (with J. E. Santos, D. Sheen, and X. Ye) Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems, Mathematical Modelling and Numerical Analysis, 33 (1999) 747-770. ncell.ps.gz
27. (with C.-S. Huang and F. Pereira) The modified method of characteristics with adjusted advection for an immiscible displacement problem, in Advances in Computational Mathematics, Z. Chen, Y. Li, C. A. Micchelli, and Y. Xu (eds.), Lecture Notes in Pure and Applied Mathematics, 202 (1999) 53-73, Marcel Dekker, Inc., New York, Basel, Hong Kong. mmocaa-immis.ps.gz
28. (with Z. Cai) Stabilized finite element methods with fast iterative solution algorithms for the Stokes problem, Comput. Methods Appl. Mech. Engrg., 166 (1998), 115-129. fast.ps.gv
29. (with C.-S. Huang) Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions, Calcolo, 35 (1998) 131--147. acc2.ps.gz
30. (with F. Furtado, F. Pereira, and L.-M. Yeh) Numerical methods for transport-dominated flows in heterogeoneous porous media, Computational Methods in Water Resources XII, 1 (1998) 469--476. wateres.ps.gz
31. (with M. Kischinhevsky, P. J. Paes-Leme, and A. Spagnuolo) A multiple-porosity model for a single-phase flow through naturally-fractured porous media, Computational and Applied Mathematics, 17 (1998) 19--48. mult.ps.gz
32. (with F. Pereira and L.-M. Yeh) A parallelizable method for two-phase flows in naturally-fractured reservoirs, Computational Geosciences, 1 (1997) 333--368. frac-mmocaa.ps.gz
33. (with C.-S. Huang) An accelerated domain decomposition procedure based on Robin transmission conditions, BIT, 37 (1997) 678--686. acc1.ps.gz
34. (with F. Furtado, F. Pereira, and L-M Yeh) The MMOCAA for reservoir flow problems, Proceedings of the III Workshop on Oceanic, Atmospheric and Groundwater Flows, September 15-19, 1997, Rio de Janeiro, Brazil. ocatmgr3.ps.gz
35. (with F. Furtado, and F. Pereira) Multiscale flow and transport in porous media, Technique-Science-Petroleum: Reservoir Engineering, CENPES/PETROBR\'AS, 1 (1997) 37--46. multiscale.ps.gz
36. (with F. Furtado, and F. Pereira) On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs, Computational Geosciences, 1 (1997) 155--190. mmocaa.ps.gz
37. (with Z. Cai) An analytic basis for multigrid methods for stabilized finite element methods for the Stokes problem, in Computational Science for the 21st Century, M-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. P\'{e}riaux, M.F. Wheeler, Eds, Wiley, 1997, pp.~113--118. stokes.ps.gz
38. (with D. Meade) Second-order transmission conditions for the Helmholtz equation, Proceedings of the Ninth International Symposium on Domain Decomposition Methods for Partial Differential Equations, P. Bj\"orstad, M. Espedal, and D. Keys (eds.) transmission.ps.gz
39. (with D. Yang) Numerical experiments for a nonoverlapping domain decomposition method for partial differential equations, in Numerical Analysis: A. R. Mitchell 75th Birthday Volume, D. F. Griffiths and G. A. Watson, Eds., World Scientific, Singapore, New Jersey, London, Hong Kong, 1996, pp. 85-97. yang.ps.gz
40. (with M. Peszy\'nska and R. E. Showalter) Single phase flow in partially fissured media,, Transport in Porous Media, 28 (1997) 285-306. pfm.ps.gz
41. (with J. Ma and P. Protter) Numerical methods for forward--backward stochastic differential equations, The Annals of Applied Probability, 6 (1996) 940-968. fwdbck.ps.gz
42. (with F. Furtado and F. Pereira) Parallel methods for immiscible displacement in porous media, Wuhan University Journal of Natural Sciences, 1 (1996) 502-507.
43. Alternating-direction iteration for the $p$-version of the finite element method, in Partial Differential Equations and Applications, Lecture Notes in Pure and Applied Mathematics 177, P. Marcellini, G. Talenti, and E. Vesentini, Eds., Marcel Dekker, New York, Basel, and Hong Kong, 1996, pp.121-135. adip.ps.gz
44. (with F. Pereira and L. M. Yeh) A parallelizable characteristic scheme for two phase flow I: Single porosity models, Computational and Applied Mathematics, 14 (1995) 73-96.
45. (with F. Pereira and J. E. Santos) A parallelizable approach to the simulation of waves in dispersive media, in Proceedings of the Third International Conference on Mathematical and Numerical Aspects of Wave Propagation, G. Cohen, Ed., SIAM, 1995, pp. 673-682.
46. (with F. Pereira, and J. E. Santos) Parallel numerical simulation of waves in dispersive media, in Proceedings of the First Latin American Conference and Exposition of the Latin American Geophysical Union and the Fourth International Congress of the Brazilian Geophysical Society, Rio de Janeiro, Brasil, August 20--24, 1995, pp. 417-419.
47. (with E. T. Olsen) Bounds on spectral condition numbers of matrices arising in the $p$-version of the finite element method, Numerische Mathematik, 69 (1995) 333-352.
48. (with F. Furtado and F. Pereira) The statistical behavior of instabilities in immiscible displacement subject to fractal geology, in Mathematical Modelling of Flow Through Porous Media, A. P. Bourgeat, C. Carasso, S. Luckhaus, and A. Mikeli\'c (eds.), World Scientific, Singapore, New Jersey, London, Hong Kong, 1995, 115--137.
49. (with J. E. Santos and D. Sheen) Approximation of scalar waves in the space--frequency domain, Mathematical Models and Methods in Applied Sciences, 4 (1994) 509-531.
50. (with F. Pereira, L. M. Yeh, and P. J. Paes Leme) Domain decomposition for immiscible displacement in single porosity systems, in Finite Element Methods: fifty years of the Courant element, M. K\v r\'\i \v zek, P. Neittaanm\"aki, and R. Stenberg (eds.), Lecture Notes in Pure and Applied Mathematics, 164 (1994) 191-199, Marcel Dekker, New York.
51. (with Z. Chen) Modelling of compositional flow in naturally fractured reservoirs, in Environmental Studies: Mathematical, Computational, and Statistical Analysis, M.F. Wheeler (ed.), IMA Volumes in Mathematics and its Applications, 79 (1995) 65--96, Springer-Verlag, New York.
52. (with C. C. Douglas and D. Fyfe) A unified multigrid theory for non-nested grids and/or quadrature, East-West J. Numer. Math., 2 (1994) 285--294.
53. (with D. Sheen and J. E. Santos) Frequency--domain parallel algorithms for the simulation of elastic and acoustic waves, in Numerical Analysis - Finite Element Methods, Proceedings of the Applied Mathematics Workshop, Ajou University, Korea, Feb.~16-18, 1993, Ha-Jine Kim (ed.), KAIST, Taejon, Korea, 1 (1993) 243--288.
54. (with J. Wang) A new family of mixed finite element spaces over rectangles, Mat. Apl. Comp., 12 (1993) 183--197.
55. (with J. E. Santos, Dongwoo Sheen, and Lynn Schreyer) Frequency domain treatment of one--dimensional scalar waves, Mathematical Models and Methods in Applied Sciences, 3 (1993) 171-194.
56. (with P. J. S. Paes Leme, J. E. Roberts, and J. Wang) A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods, Numerische Mathematik, 65> (1993) 95-108.
57. (with P. J. S. Paes Leme and T. Giorgi) Generalized Forchheimer flow in porous media, in Boundary Value Problems for Partial Differential Equations and Applications, Masson, Paris, Research Notes in Applied Mathematics, J.-L. Lions and C. Baiocchi (eds.), 29 (1993) 99-113.
58. (with J. L. Hensley and J. E. Roberts) An alternating--direction iteration method for Helmholz problems, Appl. Mat., 38 (1993) 289--300.
59. (with U. Hornung (eds.)) Flow in Porous Media, Birkh\"auser Verlag, Basel, International Series of Numerical Mathematics, 114, 1993.
60. (with P. J. Paes Leme, F. Pereira, and L. M. Yeh) A massively parallel iterative numerical algorithm for immiscible flow in naturally fractured reservoirs, in Flow in Porous Media, J. Douglas, Jr., and U. Hornung (eds.), Birkh\"auser Verlag, Basel, International Series of Numerical Mathematics, 114 (1993) 75--94.
61. (with J. L. Hensley and P. J. Paes Leme) A study of the effect of inhomogeneities on immiscible flow in naturally fractured reservoirs, in Flow in Porous Media, J. Douglas, Jr., and U. Hornung (eds.), Birkh\"auser Verlag, Basel, International Series of Numerical Mathematics, 114 (1993) 59--74.
62. (with J. L. Hensley, T. Arbogast, P. J. Paes~Leme and N. P. Nunes) Immiscible displacement in vertically fractured reservoirs, Transport in Porous Media, 12 (1993) 73--106.
63. (with C. C. Douglas) A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel, SIAM J. Numer. Anal., 30 (1993) 136--158.
64. (with P. J. Paes~Leme) Finite difference methods for a model for immiscible displacement in naturally fractured petroleum reservoirs, Matem\'atica Aplicada e Computacional 11 (1992) 3--16.
65. (with E. T. Olsen) Computational efficiency of the $p$--version of the finite element method: a comparison with the $h$--version, Technical Report \#200, Center for Applied Mathematics, Purdue University, 1992.
66. (with J. L. Hensley, Y. Wei, L. Yeh, J. Jaffr\'e, P. J. S. Paes Leme, T. S. Ramakrishnanm, and D. J. Wilkinson) A derivation for Darcy's law for miscible fluids and a revised model for miscible displacement in porous media, in Mathematical Modeling in Water Resources, 2, T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder (eds.), Computational Mechanics Publications, Elsevier Applied Science, Southhampton, Boston, 1992, 165-178.
67. (with C. C. Douglas) A greatly simplified theory for parallel multigrid or projection methods, in Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, D. Sorensen, J. J. Dongarra, K. Kennedy, P. Messina, and R. Voigt (eds.), SIAM, Philadelphia, 1992, 105--110.
68. (with C. L. Ravazzoli, J. E. Santos, and D. Sheen) On the solution of the equations of motion for nearly elastic solids in the frequency domain, in Proceedings of the IV Reunion de Trabajo en Procesamiento de la Informacion y Control, Centro de Calculo Cientificio, Comision Nacional de Energia Atomica, Buenos Aires, Argentina, November 1991
69. (with J. L. Hensley and J. E. Santos) Dispersion of type II Biot waves in inhomogeneous media, in Proceedings of the 6th International Conference on Mathematical Methods in Engineering, Plze{\v n}, (May 27-31, 1991), 1 67-83.
70. (with J. E. Santos and M. E. Morley) Simulation of waves arising in acoustic well--logging, Rend. Sem. Mat. Univ. Pol. Torino, Fascicolo Speciale, (1991) 223--243.
71. (with J. E. Santos and J. L. Hensley) Simulation of Biot waves in a cylindrically symmetric domain, in Third International Conference on Hyperbolic Problems; Theory, Numerical Methods and Applications 1, Bj{\"o}rn Engquist and Bertil Gustafsson (eds.), Studentlitteratur, Chartwell-Bratt, Uppsala, 1991, 330--350.
72. (with P. J. Paes~Leme and J. L. Hensley) A limit form of the equations for immiscible displacement in a fractured reservoir, Transport in Porous Media, 6 (1991) 549-565 \yr 1991 \vol 6 \pages 549--565.
73. (with J. L. Hensley and T. Arbogast) A dual-porosity model for waterflooding in naturally fractured reservoirs, Computer Methods in Applied Mechanics and Engineering, 87 (1991) 157-174.
74. (with C. C. Douglas) Towards a general convergence theory under few assumptions for abstract multileve algorithms, in Preliminary Proceedings of the Fifth Copper Mountain Conference on Multigrid Methods 1, T. A. Manteuffel and S. F. McCormick (eds.), University of Colorado, Denver, 1991, 197-218.
75. (with Z. Chen)
76. Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems
, Matem\'atica Aplicada e Computacional, 10 (1991) 137-160. approx.ps.gz
77. (with T. Arbogast and U. Hornung) Modeling of naturally fractured reservoirs by formal homogenization techniques, in Frontiers in Pure and Applied Mathematics, R. Dautray (ed.), Elsevier, Amsterdam, 1991, pp. 1-19. formal.ps.gz
78. (with J. E. Santos, J. Corber{\'o}, and O. M. Lovera) A model for wave propagation in a porous medium saturated by a two-phase fluid, J. Acoust. Soc. Amer., (1990) 87 1439-1448. porouswave.ps.gz
79. (with J. E. Santos and J. M. Corber\'o) \pages 1428--1438 Static and dynamic behaviour of a porous solid saturated by a two-phase fluid, J. Acoustical Soc. Amer., 87 (1990) 1428-1438. static.ps.gz
80. (with P. J. Paes~Leme, T. Arbogast, and N. P. Nunes) A tall block model for immiscible displacement in naturally fractured reservoirs, Paper SPE 21104, in Proceedings, SPE Meeting, Rio de Janeiro, October 15-19, 1990.
81. (with T. Arbogast) Dual porosity models for flow in naturally fractured reservoirs, in Dynamics of Fluids in Hierarchial Porous Formations, J. H. Cushman (ed.), Academic Press, 1990, pp. 177-221.
82. (with T. Arbogast and U. Hornung) Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal., (1990) 21 823-836. deriv.ps.gz
83. (with J. Wang) An absolutely stabilized finite element method for the Stokes problem, Math. Comp., 52 (1989) 495-508. stabstokes.ps.gz
84. (with \T. Arbogast and P. J. Paes~Leme) Two models for the waterflooding of naturally fractured reservoirs, Paper SPE 18425, Proceedings, Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, 1989, pp. 219-225.
85. (with Z. Chen) Prismatic mixed finite elements for second order elliptic problems, Calcolo, 26 (1989) 135-148. prismatic.ps.gz
86. (with J. E. Santos, M. E. Morley, and O. M. Lovera) Finite element methods for a model for full waveform acoustic logging, IMA J. Numer. Anal., 8 (1988) 415-433. fullwaveform.ps.gz
87. (with J. E. Santos, and A. P. Calder\'on) Finite element methods for a composite model in elastodynamics, SIAM J. Numer. Anal., 25 (1988) 513-532.
88. (with Y. Yuan) Numerical simulation of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedures, in Numerical Simulation in Oil Recovery, M. F. Wheeler (ed.), The IMA Volumes in Mathematics and its Applications 11, Springer-Verlag, Berlin-New York, 1988, 119-131.
89. Three models for waterflooding in a naturally fractured petroleum reservoir, in Proceedings of the Second International Symposium on Numerical Analysis, Prague 1987, Ivo Marek (ed.), Teubner-Texte zur Mathematik, Band 107, Leipzig, 1988, pp.19-27. three.ps.gz
90. (with F. Brezzi) Stabilized mixed methods for the Stokes problem, Numerische Mathematik, 53 (1988) 225-235.
91. (with T. Arbogast and J. E. Santos) Two-phase immiscible flow in naturally fractured reservoirs, in Numerical Simulation in Oil Recovery, M. F. Wheeler (ed.), The IMA Volumes in Mathematics and its Applications 11, Springer-Verlag, Berlin-New York, 1988, pp. 47-66.
92. (with Y. Yuan) Finite difference methods for the transient behavior of a semiconductor device, Matem\'atica Aplicada e Computacional, 6 (1987) 25-38.
93. (with J. E. Santos) Approximation of waves in composite media, in The Mathematics of Finite Elements and Applications VI, MAFELAP 1987, J. R. Whiteman (ed.), Academic Press, London, 1987.
94. (with P. J. Paes~Leme, T. Arbogast, and T. Schmitt) Simulation of flow in naturally fractured reservoirs, Paper SPE 16019, in Proceedings, Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, 1987.
95. (with F. A. Milner) Numerical methods for a model of population dynamics, Calcolo, 24 (1987) 247-254.
96. (with R. Dur\'an and P. Pietra) Formulation of alternating-direction iterative methods for mixed methods in three space, in Numerical Approximation of Partial Differential Equations, Eduardo L. Ortiz (ed.), North-Holland, Amsterdam, 1987, pp.21-30.
97. (with F. Brezzi, M. Fortin, and L. D. Marini) Efficient rectangular mixed finite elements in two and three space variables, R.A.I.R.O. Mod\'elisation Math\'ematique et Analyse Num\'erique, 21 (1987) 581-604.
98. (with F. Brezzi, R. Dur{\'a}n, and M. Fortin) Mixed finite elements for second order elliptic problems in three variables, Numer. Math., 51 (1987) 237-250.
99. (with Paola Pietra) A description of some alternating-direction iterative techniques for mixed finite element methods, in Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, W. E. Fitzgibbon (ed.), SIAM, Philadelphia, 1986, pp. 37-53.
100. (with C. P. Gupta) Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain, Numerische Mathematik, 49 (1986) 189-202.
101. (with I. Mart\'\i nez Gamba and M. Cristina Jorge Squeff) Simulation of the transient behavior of a one--dimensional semiconductor device, Matem\'atica Aplicada e Computacional, 5 (1986) 103-122.
102. (with F. Brezzi and L. D. Marini) Recent results on mixed finite--element methods for second--order elliptic problems, in Vistas in Applied Mathematics: Numerical Analysis, Atmospheric Sciences, Immunology, A. V. Balakrishnan, A. A. Dorodnitsyn, and J. L. Lions (eds.), Optimization Software, New York, 1986, pp.25-43.
103. (with and J. E. Roberts) Global estimates for mixed methods for second order elliptic equations, Math. Comput., 44 (1985) 39-52.
104. (with F. A. Milner) Interior and superconvergence estimates for mixed methods for second order elliptic problems, R.A.I.R.O. Mod\'elisation Math\'ematique et Analyse Num\'erique, 19 (1985) 397-428.
105. (with C. P. Gupta and G-Y Li) Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems, Calcolo, 22 (1985) 187-207.
106. (with R. Dur\'an and P. Pietra) Alternating-direction iteration for mixed finite element methods, in Seventh International Conference on Computing Methods in Applied Sciences and Engineering, INRIA, Versailles, December 9-13, 1985.
107. Superconvergence in the pressure in the simulation of miscible displacement, SIAM J. Numer. Anal., 22 (1985) 962-969.
108. (with F. Brezzi and L. D. Marini) Variable degree mixed methods for second order elliptic problems, Matem\'atica Aplicada e Computacional, 4 (1985) 19-34.
109. (with F. Brezzi and L. D. Marini) Two families of mixed finite elements for second order elliptic problems Numerische Mathematik, 47 (1985) 217-235.
110. (with M. F. Wheeler, B. L. Darlow, and R. P. Kendall) Self-adaptive finite element simulation of miscible displacement in porous media, Comp. Meth. Appl. Mech. Eng., 47 (1984) 131-159.
111. (with B. L. Darlow, M. F. Wheeler, and R. P. Kendall) Self-adaptive Galerkin methods for one-dimensional, two-phase immiscible flow, Computer Methods in Applied Mechanics and Engineering, 47 (1984) 119-130.
112. Numerical methods for the flow of miscible fluids in porous media, in Numerical Methods in Coupled Systems, R. W. Lewis, P. Bettess, and E. Hinton (eds.), John Wiley and Sons Ltd., London, 1984.
113. Approximation of convection--dominated diffusion problems, in Partial Differential Equations and Dynamical Systems, W. E. Fitzgibbon, III (ed.), Pitman Advanced Publishing Program, 1984.
114. Improved accuracy through superconvergence in the pressure in the simulation of miscible displacement, in Computing Methods in Applied Sciences and Engineering, VI, R. Glowinski and J. L. Lions (eds.), North-Holland, 1984.
115. (with D. N. Arnold and F. Brezzi) PEERS:\ A new mixed finite element for plane elasticity, Japan J. Appl. Math., (1984) 347-367.
116. (with D. N. Arnold C. P. Gupta) A family of higher order mixed finite elements for plane elasticity, Numer. Math., 45 (1984) 1-22.
117. (with M. F. Wheeler) Implicit, time-dependent variable grid finite difference methods for the approximation of a linear waterflood, Math. Comp., 40 (1983) 107-121.
118. (with J. E. Roberts) Numerical methods for a model for compressible miscible displacement in porous media, Math. Comp., 41 (1983) 441-459.
119. (with F. A. Milner) Numerical methods for a model of cardiac muscle contraction, Calcolo, 20 (1983) 129-141.
120. (with C. P. Gupta and G-Y Li) Global estimates for a primal hybrid finite element method for second order elliptic problems in the plane, Matem\'atica Aplicada e Computacional, 2 (1983) 273-283.
121. (with R. E. Ewing and M. F. Wheeler) A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media, R.A.I.R.O., Anal. Num\'er., 17 (1983) 249-265.
122. (with R. E. Ewing and M. F. Wheeler) The approximation of the pressure by a mixed method in the simulation of miscible displacement, R.A.I.R.O., Anal. Num\'er., 17 (1983) 17-33.
123. Finite difference methods for two--phase incompressible flow in porous media, SIAM J. Numer. Anal., 20 (1983) 681-696.
124. (with T. F. Russell) Numerical methods for convection--dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal., 19 (1982) 871-885.
125. (with J. E. Roberts) Mixed finite element methods for second order elliptic problems, Matem\'atica Aplicada e Computacional, 1 (1982) 91-103.
126. Sur la r\'esolution num\'erique des probl\'emes de diffusion avec une grande convection et d'\'ecoulements miscibles en milieu poreux, in Nonlinear Partial Differential Equations and Their Applications III, H. Brezis and J. L. Lions (eds.), Pitman Advanced Publishing Program, Boston, 1982.
127. Simulation of miscible displacement in porous media by a modified method of characteristics procedure, in Numerical Analysis, Dundee 1981, Lecture Notes in Mathematics 912, Springer-Verlag, Berlin, 1982.
128. (with M. F. Wheeler) Some recent results concerning the numerical simulation of miscible displacement in porous media, Proceedings, INRIA Conference on Scientific Computing, Versailles, 1981.
129. Interior penalty Galerkin methods for transient problems, in Interdisciplinary Finite Element Analysis, J. Abel, T. Kawai, and S. Shen (eds.), Cornell University, Ithaca, 1981.
130. (with D. N. Arnold and V. Thom\'ee) Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable, Math. Comp. 36 (1981) 53-63.
131. Simulation of a linear waterflood, in Free Boundary Problems II, Istituto Nazionale di Alta Maematica ``Francesco Severi", Rome, 1980.
132. The numerical simulation of miscible displacement, in Computational Methods in Nonlinear Mechanics, J. T. Oden (ed.), North-Holland, Amsterdam, 1980.
133. (with R. P. Kendall and M. F. Wheeler) Long wave regularization of one-dimensional, two-phase immiscible flow in porous media, in Finite Element Methods for Convection Dominated Flows, AMD-Vol. 34, Amer. Soc. Mech. Engrs., New York, 1979.
134. (with T. Dupont, P. Percell, and R. Scott) A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for second and fourth order problems, R.A.I.R.O., Anal. Num\'er., 13 (1979) 227-255.
135. (with T. Dupont and R. E. Ewing) Incomplete iteration for time-stepping a nonlinear parabolic Galerkin method, SIAM J. Numer. Anal., 16 (1979) 503-522.
136. Effective time-stepping methods for the numerical solution of nonlinear parabolic problems, in The Mathematics of Finite Elements and Applications III, John R. Whiteman (ed.), Academic Press, London, 1979.
137. (with D. N. Arnold) Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable, Calcolo, 16 (1979) 345-369.
138. (with T. Dupont and M. F. Wheeler) A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations, Math. Comp., 32 (1978) 345-362.
139. (with T. Dupont and P. Percell) A time--stepping method for Galerkin approximations for nonlinear parabolic equations, in Numerical Analysis, Dundee 1977, Lecture Notes in Mathematics 630, Springer-Verlag, Berlin, 1978.
140. (with T. Dupont, H. H. Rachford,~Jr., and M. F. Wheeler) Local $H^{-1}$ Galerkin and adjoint local $H^{-1}$ Galerkin procedures for elliptic equations R.A.I.R.O., Anal. Num\'er., 11 (1977) 3-12.
141. (with T. Dupont) $H^{-1}$ Galerkin methods for problems involving several space variables, in Topics in Numerical Analysis III, J. J. H. Miller (ed.), Academic Press, London, 1977.
142. $H^1$-Galerkin methods for a nonlinear Dirichlet problem, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, 606, Springer-Verlag, Heidelberg, 1977.
143. (with T. Dupont) Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem, in Sparse Matrix Calculations, J. R. Bunch and D. J. Rose (eds.), Academic Press, New York, 1976.
144. (with T. Dupont) Interior penalty procedures for elliptic and parabolic Galerkin methods, in Computing Methods in Applied Science, Lecture Notes in Physics, 58, Springer-Verlag, Heidelberg, 1976.
145. (with T. Dupont and L. Wahlbin) The stability in $L^q$ of the $L^2$--projection into finite element function spaces, Numer. Math., 23 (1975) 193-197.
146. (with T. Dupont and L. Wahlbin) $L_\infty$ error estimates for Galerkin approximations to solutions of two-point boundary value problems, Math. Comp., 29 (1975) 475-483.
147. (with T. Dupont) A Galerkin method for a nonlinear Dirichlet problem Math. Comp. 29 (1975) 689-696.
148. (with T. Dupont) The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures, Math. Comp., 29 (1975) 360-389.
149. (with T. Dupont and M. F. Wheeler) Some superconvergence results for an $H^1$-Galerkin procedure for the heat equation, in Lecture Notes in Computer Science 10, Sringer-Verlag, Heidelberg, 1974.
150. (with T. Dupont and M. F. Wheeler) $H^1$-Galerkin methods for the Laplace and heat equations, in Mathematical Aspects of Finite Elements in Partial Differential Equations, Carl de Boor (ed.), Academic Press, New York, 1974.
151. (with T. Dupont and M. F. Wheeler) An $L^\infty$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials, R.A.I.R.O., R-2 (8e ann\'ee, aout 1974) 61-66.
152. (with T. Dupont and M. F. Wheeler) A Galerkin procedure approximating the flux on the boundary for elliptic and parabolic boundary value problems, R.A.I.R.O., R-2 (8e ann\'ee, aout 1974) 47-59.
153. (with T. Dupont) Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces, Numer. Math., 22 (1974) 99-109.
154. (with T. Dupont) Collocation Methods for Parabolic Equations in a Single Space Variable, Lecture Notes in Mathematics, vol. 385, Springer-Verlag, Heidelberg, 1974.
155. Lecture Notes on Finite Element Methods for Elliptic and Parabolic Problems, preliminary version, 1974.
156. Superconvergence phenomena for finite element methods for the two point boundary problem, Actas del Seminario sobre M\'etodos Num\'ericos Modernos, II, Caracas, 1974.
157. Des m\'ethodes de Galerkin pour le probl\'eme non lin\'eaire de Dirichlet, S\'eminaires d'Analyse Num\'erique, J. L. Lions et P. A. Raviart (eds.), Paris, 1973-74.
158. Sur la superconvergence des m\'ethodes de Galerkin appliqu\'ees aux equations aux d\'eriv\'ees partielles du type parabolique, S\'eminaires d'Analyse Num\'erique, J. L. Lions et P. A. Raviart (eds.), Paris, 1973-74.
159. (with T. Dupont) Superconvergence for Galerkin methods for the two point boundary problem via local projections, Numer. Math., (1973) 270-278.
160. (with T. Dupont) A finite element collocation method for quasilinear parabolic equations, Math. Comp., 27 (1973) 17-20.
161. (with T. Dupont) Galerkin methods for parabolic equations with nonlinear boundary conditions, Numer. Math., 20 (1973) 213-237.
162. (with T. Dupont) Some superconvergence results for Galerkin methods for two--point boundary problems, in Topics in Numerical Analysis, J. J. H. Miller (ed.), Academic Press, New York-London, 1973.
163. (with T. Dupont, H. Wang, and P. Halpern) Numerical solutions of the one-dimensional primitive equations using Galerkin approximations with localized basis functions, Monthly Weather Review, 100 (1972) 738-746.
164. (with T. Dupont) A finite element collocation method for the heat equation, in Symposia Mathematica 10, Academic Press, New York, 1972.
165. A superconvergence result for the approximate solution of the heat equation by a collocation method, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz (ed.), Academic Press, New York, 1972.
166. (with T. Dupont and J. Serrin) Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form, Archive for Rational Mechanics and Analysis, 42 (1971) 157-168.
167. (with T. Dupont) Alternating--direction Galerkin methods on rectangles, in Numerical Solution of Partial Differential Equations II, Burt Hubbard (ed.), Academic Press, New York, 1971.
168. The flow of fluids in porous media, in Actes, Congr\`es Intern. Math., Gauthiers-Villars, Paris, 1971, t\^ome 3, 65-69.
169. (with T. Dupont) Galerkin methods for parabolic problems, SIAM J. Numer. Anal., 7 (1970) 575-626.
170. The numerical solution of a compositional model in petroleum reservoir engineering, in Numerical Solution of Field Problems in Continuum Physics, Amer. Math. Soc., Providence, 1970, pp. 54-59.
171. (with T. Dupont and H. H. Rachford, Jr.) Application of variational methods to waterflooding problems Can. J. Petroleum Tech., 8 (1969) 79-85.
172. (with T. Dupont) The numerical solution of waterflooding problems in petroleum engineering by variational methods, Proceedings of the SIAM Conference on Nonlinear Problems, 1969, pp. 53-63.
173. (with W. T. Ford, G. E. Henderson, and I. F. Roebuck) Application of a compositional mathematical model to reservoir simulation. Case I --- The linear model, Can. J. Petroleum Tech., 7 (1968) 98-104.
174. (with J. R. Cannon) The approximation of harmonic and parabolic functions on half-spaces from interior data, in Numerical Solution of Partial Differential Equations, Edizioni Cremonese, Rome, 1968, pp. 193-230.
175. (with J. R. Cannon and C. D. Hill) A multi--phase Stefan problem and the disappearance of phases, J. Math. Mech., 17 (1967) 21-34.
176. (with J. R. Cannon) The stability of the boundary in a Stefan problem, Annali Scuola Normale Pisa, 27 (1967) 83-91.
177. (with J. R. Cannon) The Cauchy problem for the heat equation, SIAM J. Numer. Anal., 4 (1967) 317-336.
178. (with A. O. Garder and C. M. Pearcy) Multistage alternating direction methods, SIAM J. Numer. Anal., 3 (1966) 570-581.
179. Approximate harmonic continuation, in Atti del Convegno su le Equazioni alle Derivate Parziali (Nervi, 1965), vol. 59, Edizioni Cremonese, Rome, 1966.
180. Approximate continuation of harmonic and parabolic functions, in Numerical Solution of Partial Differential Equations (Proc. Symposium Univ. Maryland, 1965), Academic Press, New York, 1966.
181. (with J. E. Gunn) A general formulation of alternating direction methods, I. Parabolic and hyperbolic problems, Numer. Math., 6 (1964) 428-453.
182. (with J. R. Cannon) Three-level alternating-direction iterative methods, Contributions to Differential Equations, 3 (1964) 189-198.
183. (with C. M. Pearcy) On convergence of alternating direction procedures in the presence of singular operators, Numer. Math., 5 (1963) 175-183.
184. (with R. B. Kellogg and R. S. Varga) Alternating direction iteration methods for $N$ space variables, Math. Comp., 17 (1963) 279-282.
185. (with B. F. Jones, Jr.) On predictor-corrector methods for nonlinear parabolic differential equations, SIAM J. Appl. Math., 11 (1963) 195-204.
186. (with J. E. Gunn) Two high-order correct difference analogues for the equation of multi-dimensional heat flow, Math. Comp., 17 (1963) 71-80.
187. (with J. R. Cannon and B. F. Jones, Jr.) Determination of the diffusivity of an isotropic medium, Intern. J. Engng. Sci., 1 (1963) 453-455.
188. (with B. F. Jones, Jr.) The determination of a coefficient in a parabolic differential equation, II, J. Math. Mech., 11 (1962) 919-926.
189. (with B. F. Jones, Jr.) Numerical methods for integro-differential equations of parabolic and hyperbolic types, Numer. Math., 4 (1962) 96-102.
190. Alternating direction methods for three space variables, Numerische Mathematik, 4 (1962) 41-63.
191. (with J. E. Gunn) Alternating direction methods for parabolic systems in $M$ space variables, J. Assoc. Comput. Mach., 4 (1962) 450-456.
192. On incomplete iteration for implicit parabolic difference equations, J. Soc. Indust. Appl. Math., 8 (1961) 433-439.
193. Alternating direction iteration for mildly nonlinear elliptic difference equations, Numer. Math., 3 (1961) 92-98.
194. A correction to my paper ``Alternating direction iteration for mildly nonlinear elliptic difference equations", Numer. Math., 4 (1962) 301-302.
195. A survey of numerical methods for parabolic differential equations, in Advances in Computers, vol. 2, 1961, Academic Press, New York, pp. 1-54.
196. Mathematical programming and integral equations, in Symposium on the Numerical Treatment of Ordinary Differential Equations, Integral and Integro-Differential Equations, Birkhauser, Basel-Rome, 1960, pp. 269-274.
197. A numerical method for the solution of a parabolic system, Numer. Math., 2 (1960) 91-98.
198. A numerical method for analytic continuation, in Boundary Value Problems in Differential Equations, University of Wisconsin Press, Madison, 1960, pp. 172-189.
199. (with D. W. Peaceman and H. H. Rachford,Jr.) A method for calculating multi-dimensional displacement, Trans. AIME, 216 (1959) 297-308.
200. (with T. M. Gallie,Jr.) An approximate solution of an improper value problem, Duke Math. J., 26 (1959) 339-347.
201. An unusual stability criterion for a difference analogue of the heat equation, J. Math. and Phys., 38 (1959/60) 150-152.
202. On the numerical solution of a non-linear first-order differential equation, in Symposium on the Numerical Treatment of Partial Differential Equations with Real Characteristics, Libreria Eredia Virgilio Veschi, Rome, 1959.
203. Round-off error in the numerical solution of the heat equation, J. Assoc. Comput. Mach., 6 (1959) 48-58.
204. (with P. M. Blair and R. J. Wagner) Calculation of linear waterflood behavior including the effects of capillary pressure, Trans. AIME, 213 (1958) 96-104.
205. The application of stability analysis in the numerical solution of quasi-linear parabolic differential equations, Trans. Amer. Math. Soc., 89 (1958) 484-518.
206. A uniqueness theorem for the solution of a Stefan problem, Proc. Amer. Math. Soc., 8 (1957) 402-408.
207. A note on the alternating direction implicit method for the numerical solution of heat flow problems, Proc. Amer. Math. Soc., 8 (1957) 409-412.
208. (with H. H. Rachford, Jr.) On the numerical solution of heat conduction problems in two and three space variables, Trans. Amer. Math Soc., 82 (1956) 421-439.
209. The solution of the heat equation by a high order correct difference equation, J. Math and Phys., 35 (1956) 145-151.
210. On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations, J. Soc. Indust. Appl. Math., 4 (1956) 20-37.
211. On the numerical integration of quasi-linear parabolic differential equations, Pac J. Math., 5 (1956) 35-42.
212. On the errors in analogue solutions of heat conduction problems, Quart. Appl. Math., 14 (1956) 333-335.
213. (with D. W. Peaceman and H. H. Rachford, Jr.) Calculation of unsteady gas flow through a square drainage area, J. Petroleum Technology, 7 (1955) 190-193.
214. (with D. W. Peaceman) Numerical solution of two dimensional heat flow problems, A.I.Ch.E. Jour., 1 (1955) 505-512.
215. (with T. M. Gallie, Jr.) Variable time steps in the solution of the heat flow equation by a difference equation, Proc. Amer. Math. Soc., 6 (1955) 787-793.
216. (with T. M. Gallie, Jr.) On the numerical integration of a parabolic differential equation subject to a moving boundary condition, Duke Math. J., 22 (1955) 557-571.
217. On the numerical integration of $u_{xx}+u_{yy}=u_t$ by implicit methods, J. Soc. Indust. Appl. Math., 3 (1955) 42-65.