T. F. Russell, An Incompletely Iterated Characteristic Finite Element Method for a Miscible Displacement Problem, Department of Mathematics, University of Chicago, 1980, http://www-math.cudenver.edu/~trussell/thesis.pdf. (Advisor: Jim Douglas, Jr.)
"Multistep Galerkin methods along characteristics for convection-diffusion problems," Advances in Computer Methods for Partial Differential Equations - IV, R. Vichnevetsky and R. S. Stepleman, eds., IMACS, Rutgers University, New Brunswick, NJ, 1981, pp. 28-36, http://www-math.cudenver.edu/~trussell/imacs81.pdf. (With R. E. Ewing)
"Finite elements with characteristics for two-component incompressible miscible displacement," SPE 10500, Proceedings of the Sixth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1982, pp. 123-135, http://www-math.cudenver.edu/~trussell/spe10500.pdf.
"Efficient time-stepping methods for miscible displacement problems in porous media," SIAM J. Numer. Anal., 19 (1982), 1-67, http://www-math.cudenver.edu/~trussell/sinum82a.pdf. (With R. E. Ewing)
"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, http://www-math.cudenver.edu/~trussell/sinum82b.pdf. (With J. Douglas, Jr.)
"Galerkin time stepping along characteristics for Burgers' equation," Scientific Computing, R. S. Stepleman, ed., North-Holland, Amsterdam, 1983, pp. 183-192, http://www-math.cudenver.edu/~trussell/imacs83.pdf.
"Simulation of miscible displacement using mixed methods and a modified method of characteristics," SPE 12241, Proceedings of the Seventh SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1983, pp. 71-81; Numerical Simulation II, SPE Reprint Series No. 20, Society of Petroleum Engineers, Dallas, 1986, pp. 38-48, http://www-math.cudenver.edu/~trussell/spe12241.pdf. (With R. E. Ewing and M. F. Wheeler)
"Finite element and finite difference methods for continuous flows in porous media," The Mathematics of Reservoir Simulation, R. E. Ewing, ed., Frontiers in Applied Mathematics 1, Society for Industrial and Applied Mathematics, Philadelphia, 1984, pp. 35-106, http://www-math.cudenver.edu/~trussell/frontiers.pdf. (With M. F. Wheeler)
"Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics," Comp. Meth. Appl. Mech. Eng., 47 (1984), 73-92, http://www-math.cudenver.edu/~trussell/cmame84.pdf. (With R. E. Ewing and M. F. Wheeler)
"Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media," SIAM J. Numer. Anal., 22 (1985), 970-1013, http://www-math.cudenver.edu/~trussell/sinum85.pdf.
"Large-scale simulation of miscible displacement by mixed and characteristic finite element methods," Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, W. E. Fitzgibbon, ed., Society for Industrial and Applied Mathematics, Philadelphia, 1986, pp. 85-107, http://www-math.cudenver.edu/~trussell/siam85.pdf. (With M. F. Wheeler and C. Chiang)
"New reservoir simulation techniques for enhanced oil-recovery processes," Proceedings of the Second Wyoming Enhanced Oil Recovery Symposium, R. E. Ewing, ed., University of Wyoming, Laramie, WY, 1987, pp. 177-190, http://www-math.cudenver.edu/~trussell/eoriproc1.pdf.
"Accurate fine-grid simulations to derive coarse-grid models of fine-scale heterogeneities in porous media," Computational Methods in Water Resources, Volume 2: Numerical Methods for Transport and Hydrologic Processes, M. A. Celia, L. A. Ferrand, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Elsevier, Amsterdam, 1988, pp. 213-218, http://www-math.cudenver.edu/~trussell/cmwr88.pdf.
"Formulation of a model accounting for capillary non-equilibrium in naturally fractured subsurface formations," Proceedings of the Fourth Wyoming Enhanced Oil Recovery Symposium, R. E. Ewing and D. Copeland, eds., University of Wyoming, Laramie, WY, 1988, pp. 103-114, http://www-math.cudenver.edu/~trussell/eoriproc2.ps.
"Multigrid methods for three-dimensional petroleum reservoir simulation," SPE 18409, Proceedings of the Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1989, pp. 19-25, http://www-math.cudenver.edu/~trussell/spe18409.pdf. (With J. E. Dendy, Jr., S. F. McCormick, J. W. Ruge, and S. Schaffer)
"Stability analysis and switching criteria for adaptive implicit methods based on the CFL condition," SPE 18416, Proceedings of the Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1989, pp. 97-107, http://www-math.cudenver.edu/~trussell/spe18416.pdf.
"An anisotropic coarse-grid dispersion model of heterogeneity and viscous fingering in five-spot miscible displacement that matches experiments and fine-grid simulations," SPE 18441, Proceedings of the Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1989, pp. 447-465, http://www-math.cudenver.edu/~trussell/spe18441.pdf. (With R. E. Ewing and L. C. Young)
"Efficient implementation of the modified method of characteristics in finite-difference models of solute transport," Proceedings of the Fourth International Conference on Solving Ground Water Problems with Models, Association of Ground Water Scientists and Engineers, National Water Well Association, Dublin, OH, 1989, pp. 483-492, http://www-math.cudenver.edu/~trussell/nwwa89.pdf. (With R. W. Healy)
"Finite elements and finite differences: Are they really different, and does it matter?", Finite Element Analysis in Fluids, Proceedings of the 7th International Conference on Finite Element Methods in Flow Problems, T. J. Chung and G. R. Karr, eds., UAH Press, University of Alabama in Huntsville, 1989, pp. 538-543, http://www-math.cudenver.edu/~trussell/huntsville1.pdf.
"Finite element simulation of unstable displacements in heterogeneous porous media," Finite Element Analysis in Fluids, Proceedings of the 7th International Conference on Finite Element Methods in Flow Problems, T. J. Chung and G. R. Karr, eds., UAH Press, University of Alabama in Huntsville, 1989, pp. 1272-1277, http://www-math.cudenver.edu/~trussell/huntsville2.pdf.
"Supercomputers in reservoir simulation: past, present, and future," Supercomputers in Seismic Exploration, E. Eisner, ed., Handbook of Geophysical Exploration, Section I: Seismic Exploration, Volume 21, Pergamon Press, Oxford, 1989, pp. 279-308, http://www-math.cudenver.edu/~trussell/eisner.pdf.
"A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems," SIAM J. Numer. Anal., 26 (1989), pp. 1462-1473, http://www-math.cudenver.edu/~trussell/sinum89.pdf. (With S. Krishnamachari and L. J. Hayes)
"Some improved error estimates for the modified method of characteristics," SIAM J. Numer. Anal., 26 (1989), pp. 1487-1512, http://www-math.cudenver.edu/~trussell/dawson3.ps. (With C. N. Dawson and M. F. Wheeler)
"Eulerian-Lagrangian localized adjoint methods for advection-dominated problems," Numerical Analysis 1989, D. F. Griffiths and G. A. Watson, eds., Pitman Research Notes in Mathematics Series, Vol. 228, Longman Scientific & Technical, Harlow, U. K., 1990, pp. 206-228, http://www-math.cudenver.edu/~trussell/dundee.ps.
"An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation," Adv. Water Resour., 13 (1990), 187-206, http://www-math.cudenver.edu/~trussell/awr90.pdf. (With M. A. Celia, I. Herrera, and R. E. Ewing)
"Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements," Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, T. F. Chan, R. Glowinski, J. Periaux and O. B. Widlund, eds., Society for Industrial and Applied Mathematics, Philadelphia, 1990, pp. 98-114, http://www-math.cudenver.edu/~trussell/dd3.pdf. (With R. E. Ewing, R. D. Lazarov, and P. S. Vassilevski)
"Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions," Computational Methods in Surface Hydrology, G. Gambolati, A. Rinaldo, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Proceedings of the 8th International Conference on Computational Methods in Water Resources, Computational Mechanics Publications, Southampton, U. K., 1990, pp. 357-363, http://www-math.cudenver.edu/~trussell/venice.ps. (With R. V. Trujillo)
"Mixed methods, operator splitting, and local refinement techniques for simulation on irregular grids," Proceedings of the 2nd European Conference on the Mathematics of Oil Recovery, D. Guerillot and O. Guillon, eds., Technip, Paris, 1990, pp. 237-245, http://www-math.cudenver.edu/~trussell/technip1.ps, http://www-math.cudenver.edu/~trussell/technip2.ps. (With M. S. Espedal and R. E. Ewing)
"Dispersion concepts in two-phase flow," Proceedings of the Second World Congress on Computational Mechanics, Institute for Computer Applications, University of Stuttgart, West Germany, 1990, http://www-math.cudenver.edu/~trussell/stuttgart.ps.
"Reservoir simulation using mixed methods, a modified method of characteristics, and local grid refinement," The Mathematics of Oil Recovery, P. R. King, ed., Clarendon Press, Oxford, 1992, pp. 617-629, http://www-math.cudenver.edu/~trussell/espedal.ps. (With M. S. Espedal, R. E. Ewing, and O. Sævareid)
"Eulerian-Lagrangian localized adjoint methods for variable-coefficient convection-diffusion problems arising in groundwater applications," Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, T. F. Russell et al., eds., Computational Mechanics Publications, Southampton, U.K., 1992, pp. 25-31, http://www-math.cudenver.edu/~trussell/cmwrhongpaper.ps. (With H. Wang and R. E. Ewing)
"Solution of the advection-dispersion equation by a finite-volume Eulerian-Lagrangian local adjoint method," Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, T. F. Russell et al., eds., Computational Mechanics Publications, Southampton, U.K., 1992, pp. 33-39, http://www-math.cudenver.edu/~trussell/cmwr92a.pdf. (With R. W. Healy)
"D4Z -- a new renumbering for iterative solution of ground-water flow and solute-transport equations," Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, T. F. Russell et al., eds., Computational Mechanics Publications, Southampton, U.K., 1992, pp. 495-502, http://www-math.cudenver.edu/~trussell/cmwr92b.pdf. (With K. L. Kipp and J. S. Otto)
"Implementation of an adaptive implicit method," SPE 25245, Proceedings of the Twelfth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, 1993, pp. 113-126, http://www-math.cudenver.edu/~trussell/spe25245.pdf. (With L. C. Young)
"A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation," Water Resources Res., 29 (1993), 2399-2413, http://www-math.cudenver.edu/~trussell/wrr93.pdf. (With R. W. Healy)
"Eulerian-Lagrangian localized adjoint methods: The theoretical framework," Num. Meth. PDE, 9 (1993), 431-457, http://www-math.cudenver.edu/~trussell/nmpde93.pdf. (With I. Herrera, R. E. Ewing, and M. A. Celia)
"Three-dimensional D4Z renumbering for iterative solution of ground-water flow and transport equations," Computational Methods in Water Resources X, Vol.2, A. Peters et al., eds., Kluwer Academic Publishers, Dordrecht, Netherlands, 1994, pp. 1417-1424, http://www-math.cudenver.edu/~trussell/cmwr942.ps. (With K. L. Kipp and J. S. Otto)
"Weak and direct Eulerian-Lagrangian localized adjoint methods for nonlinear physical velocity and reaction," Report No. 17, Center for Computational Mathematics, University of Colorado at Denver, 1994, http://www-math.cudenver.edu/~trussell/ccm17.pdf. (With R. V. Trujillo and D. W. Dean)
"Accurate discretization for singular perturbations: the one-dimensional case," SIAM J. Numer. Anal., 32 (1995), 83-109, http://www-math.cudenver.edu/~trussell/hupaper.ps, http://www-math.cudenver.edu/~trussell/hupaperla.ps. (With X. Hu, T. A. Manteuffel, and S. F. McCormick)
"Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation," Comp. Meth. Appl. Mech. Eng., 122 (1995), 223-250, http://www-math.cudenver.edu/~trussell/dahle.ps. (With H. K. Dahle and R. E. Ewing)
"Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis," IMA J. Numer. Anal., 15 (1995), 405-459, http://www-math.cudenver.edu/~trussell/hongpaper2.ps. (With H. Wang and R. E. Ewing)
"Modeling of multiphase multicontaminant transport in the subsurface," Rev. Geophys., 33 (1995), Supplement, 1035-1047; U.S. National Report to International Union of Geodesy and Geophysics 1991-1994, Contributions in Hydrology, American Geophysical Union, Washington, 1995, pp. 1035-1047, http://www-math.cudenver.edu/~trussell/iuggpp.ps.
"Upscaling of dispersivity in modeling of solute transport: Mathematical theory and laboratory experiments," Mathematical Modelling of Flow Through Porous Media, A. P. Bourgeat, C. Carasso, S. Luckhaus, and A. Mikelic, eds., World Scientific, Singapore, 1995, pp. 301-317, http://www-math.cudenver.edu/~trussell/stetienne.ps. (With D. W. Dean, T. H. Illangasekare, R. Mapa, and J. García)
"Numerical evaluation of static-chamber measurements of soil-atmosphere gas exchange," Soil Sci. Soc. of Amer. J., 60 (1996), 740-747, http://www-math.cudenver.edu/~trussell/sssaj96.pdf. (With R. W. Healy, R. G. Striegl, G. L. Hutchinson, and G. P. Livingston)
"The finite volume element method for elliptic and parabolic problems," Numerical Analysis: A. R. Mitchell 75th Birthday Volume, G. A. Watson and D. F. Griffiths, eds., World Scientific, Singapore, 1996, pp. 271-289, http://www-math.cudenver.edu/~trussell/fve1.ps. (With R. V. Trujillo)
"Analytical solution for the problem of 1-dimensional diffusion into a static chamber," UCD/CCM Report No. 75, Center for Computational Mathematics, University of Colorado at Denver, 1996, http://www-math.cudenver.edu/~trussell/ccm75.pdf. (With R. W. Healy, R. G. Striegl, G. L. Hutchinson, and G. P. Livingston)
"Control-volume mixed finite element methods," Computational Geosciences, 1 (1997), 289-315, http://www-math.cudenver.edu/~trussell/cvmfe1.ps. (With Z. Cai, J. Jones, and S. F. McCormick)
"Overlapping domain decomposition for a mixed finite element method in three dimensions," Domain Decomposition Methods in Sciences and Engineering, 9th International Conference, Bergen, Norway, P. Bjørstad, M. Espedal, and D. Keyes, eds., Domain Decomposition Press, Bergen, Norway, 1998, pp. 188-196, http://www-math.cudenver.edu/~trussell/dd9.pdf. (With Z. Cai, R. Parashkevov, and X. Ye)
"Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method," Adv. Water Resour., 21 (1998), 11-26, http://www-math.cudenver.edu/~trussell/awr98.pdf. (With R. W. Healy)
"An analysis of the stochastic approaches to the problems of flow and transport in porous media: Upscaling of dispersivity," UCD/CCM Report No. 137, Center for Computational Mathematics, University of Colorado at Denver, 1998, http://www-math.cudenver.edu/ccm/reports/rep137.ps.gz. (With D. W. Dean)
"Relationships among some conservative discretization methods," UCD/CCM Report No. 148, Center for Computational Mathematics, University of Colorado at Denver, 1999, http://www-math.cudenver.edu/ccm/reports/rep148.ps.gz; Numerical Treatment of Multiphase Flows in Porous Media, Z. Chen et al., ed., Lecture Notes in Physics, Vol. 552, Springer-Verlag, Heidelberg, 2000, pp. 267-282.
"Analytical tracking along streamlines in temporally linear Raviart-Thomas velocity fields," UCD/CCM Report No. 151, Center for Computational Mathematics, University of Colorado at Denver, 2000, http://www-math.cudenver.edu/ccm/reports/rep151.ps.gz; Computational Methods in Water Resources, Vol. 2, L. Bentley et al., ed., A. A. Balkema, Rotterdam, 2000, pp. 631-638. (With R. W. Healy)
"Test functions for three-dimensional control-volume mixed finite-element methods on irregular grids," UCD/CCM Report No. 152, Center for Computational Mathematics, University of Colorado at Denver, 2000, http://www-math.cudenver.edu/ccm/reports/rep152.ps.gz; Computational Methods in Water Resources, Vol. 2, L. Bentley et al., ed., A. A. Balkema, Rotterdam, 2000, pp. 677-684. (With R. L. Naff and J. D. Wilson)
"Treatment of internal sources in the finite-volume ELLAM," UCD/CCM Report No. 153, Center for Computational Mathematics, University of Colorado at Denver, 2000, http://www-math.cudenver.edu/ccm/reports/rep153.ps.gz; Computational Methods in Water Resources, Vol. 2, L. Bentley et al., ed., A. A. Balkema, Rotterdam, 2000, pp. 619-622. (With R. W. Healy)
"Three-dimensional finite-volume ELLAM implementation," UCD/CCM Report No. 154, Center for Computational Mathematics, University of Colorado at Denver, 2000, http://www-math.cudenver.edu/ccm/reports/rep154.ps.gz; Computational Methods in Water Resources, Vol. 2, L. Bentley et al., ed., A. A. Balkema, Rotterdam, 2000, pp. 603-610. (With C. I. Heberton, L. F. Konikow, and G. Z. Hornberger)
"Efficient solver for mixed and control-volume mixed finite-element methods," UCD/CCM Report No. 155, Center for Computational Mathematics, University of Colorado at Denver, 2000, http://www-math.cudenver.edu/ccm/reports/rep155.ps.gz; Computational Methods in Water Resources, Vol. 2, L. Bentley et al., ed., A. A. Balkema, Rotterdam, 2000, pp. 669-676. (With J. D. Wilson)
"A three-dimensional finite-volume Eulerian-Lagrangian localized adjoint method (ELLAM) for solute-transport modeling," Water Resources Investigations Report No. 00-4087, U.S. Geological Survey, Reston, VA, 2000, http://www-math.cudenver.edu/~trussell/wrir004087.doc. (With C. I. Heberton, L. F. Konikow, and G. Z. Hornberger)
"Solving the three-dimensional solute transport equation using a finite-volume Eulerian-Lagrangian localized adjoint method (FVELLAM)," MODFLOW 2001 and Other Modeling Odysseys, Proceedings, Vol. 2, H. S. Seo et al., ed., International Ground Water Modeling Center, Golden, CO, 2001, pp. 497-503, http://www-math.cudenver.edu/~trussell/modflow2001.proc.doc. (With C. I. Heberton, L. F. Konikow, and G. Z. Hornberger)
"Analysis of 1-D moment equations for immiscible flow," UCD/CCM Report No. 177, Center for Computational Mathematics, University of Colorado at Denver, 2001, http://www-math.cudenver.edu/ccm/reports/rep177.ps.gz; Fluid Flows and Transport in Porous Media: Mathematical and Numerical Treatment, Z. Chen and R. E. Ewing, ed., Contemporary Mathematics, Vol. 295, American Mathematical Society, Providence, 2002, pp. 293-304. (With K. D. Jarman)
"Shape functions for three-dimensional control-volume mixed finite-element methods on irregular grids," UCD/CCM Report No. 183, Center for Computational Mathematics, University of Colorado at Denver, 2002, http://www-math.cudenver.edu/ccm/reports/rep183.ps.gz; Computational Methods in Water Resources, Vol. 1, S. M. Hassanizadeh et al., ed., Elsevier, Amsterdam, 2002, pp. 359-366. (With R. L. Naff and J. D. Wilson)
"Efficient solver for mixed finite element method and control-volume mixed finite-element method in 3-D on hexahedral grids," UCD/CCM Report No. 186, Center for Computational Mathematics, University of Colorado at Denver, 2002, http://www-math.cudenver.edu/ccm/reports/rep186.ps.gz; Computational Methods in Water Resources, Vol. 1, S. M. Hassanizadeh et al., ed., Elsevier, Amsterdam, 2002, pp. 429-436. (With J. D. Wilson and R. L. Naff)
"Numerical dispersion in Eulerian-Lagrangian methods," UCD/CCM Report No. 182, Center for Computational Mathematics, University of Colorado at Denver, 2002, http://www-math.cudenver.edu/ccm/reports/rep182.ps.gz; Computational Methods in Water Resources, Vol. 2, S. M. Hassanizadeh et al., ed., Elsevier, Amsterdam, 2002, pp. 963-970.
"Shape functions for velocity interpolation in general hexahedral cells," UCD/CCM Report No. 178, Center for Computational Mathematics, University of Colorado at Denver, 2000; invited paper, Computational Geosciences, Special Issue on Locally Conservative Numerical Methods for Flows in Porous Media, 6 (2002), 285-314, http://www-math.cudenver.edu/~trussell/cvmfe2.ps. (With R. L. Naff and J. D. Wilson)
"An overview of research on Eulerian-Lagrangian localized adjoint methods (ELLAM)," UCD/CCM Report No. 185, Center for Computational Mathematics, University of Colorado at Denver, 2002; invited paper, Advances in Water Resources, 25th Anniversary Special Issue, 25 (2002), 1215-1231, http://www-math.cudenver.edu/~trussell/ELLAMreview.pdf. (With M. A. Celia)
"A finite-volume ELLAM for three-dimensional solute transport modeling," UCD/CCM Report No. 184, Center for Computational Mathematics, University of Colorado at Denver, 2002, http://www-math.cudenver.edu/ccm/reports/rep184.ps.gz; invited paper, Ground Water, Special Issue on MODFLOW 2001 and Other Modeling Odysseys, 41 (2003), 258-272, http://www-math.cudenver.edu/~trussell/modflow2001.gw.doc. (With C. I. Heberton, L. F. Konikow, and G. Z. Hornberger)
"Domain decomposition for a mixed finite element method in three dimensions," SIAM J. Numer. Anal., 41 (2003), 181-194, http://www-math.cudenver.edu/~trussell/sinum03.pdf. (With Z. Cai, R. Parashkevov, J. D. Wilson, and X. Ye)
"Eulerian moment equations for 2-D stochastic immiscible flow," SIAM J. Multiscale Modeling and Simulation, 1 (2003), 598-608, http://www-math.cudenver.edu/~trussell/me2d_revised.pdf. (With K. D. Jarman)
"A numerical Lagrangian stochastic approach to upscaling of dispersivity in solute transport," invited paper, Adv. Water Resour., George F. Pinder special issue, 27 (2004), 445-464, http://www-math.cudenver.edu/~trussell/pinderpaper.ps.gz. (With D.W. Dean)
"Oh no, not the wiggles again! A revisit of an old problem and a new approach," UCD/CCM Report No. 205, Center for Computational Mathematics, University of Colorado at Denver, 2004, http://www-math.cudenver.edu/ccm/reports/rep205.ps.gz; Computational Methods in Water Resources, Vol. 1, C. T. Miller et al., ed., Elsevier, Amsterdam, 2004, pp. 483-494. (With P. Binning)
"An ELLAM approximation for advective-dispersive transport with nonlinear sorption," UCD/CCM Report No. 206, Center for Computational Mathematics, University of Colorado at Denver, 2004, http://www-math.cudenver.edu/ccm/reports/rep206.ps.gz; Computational Methods in Water Resources, Vol. 1, C. T. Miller et al., ed., Elsevier, Amsterdam, 2004, pp. 505-518. (With M. W. Farthing, C. E. Kees, and C. T. Miller)
"The balance between advection and diffusion in reactive gas transport during pyrite oxidation in the unsaturated zone," UCD/CCM Report No. 207, Center for Computational Mathematics, University of Colorado at Denver, 2004, http://www-math.cudenver.edu/ccm/reports/rep207.pdf.gz; Computational Methods in Water Resources, Vol. 1, C. T. Miller et al., ed., Elsevier, Amsterdam, 2004, pp. 891-902. (With P. Binning and D. Postma)
"Moment equations for stochastic immiscible flow," UCD/CCM Report No. 181, Center for Computational Mathematics, University of Colorado at Denver, 2002, http://www-math.cudenver.edu/ccm/reports/rep181.ps.gz; SIAM J. Appl. Math., submitted. (With K. D. Jarman)
"Relationships among some locally conservative discretization methods which handle discontinuous coefficients," UCD/CCM Report No. 203, Center for Computational Mathematics, University of Colorado at Denver, 2003, http://www-math.cudenver.edu/ccm/reports/rep203.ps.gz; Computational Geosciences, 8 (2004), 341-377, http://www-math.cudenver.edu/~trussell/relation_final.pdf. (With R. A. Klausen)
"An ELLAM approximation for
advective-dispersive transport with nonlinear sorption,"
Adv. Water Resour., 29 (2006), 657-675,
http://www-math.cudenver.edu/~trussell/awr895ellamProof.pdf.
(With M. W. Farthing, C. E. Kees, and C. T. Miller)
"Using stochastic differential
equations in modeling NAPL flow in heterogeneous porous media,"
MODFLOW and More 2006: Managing Ground-Water Systems, Proceedings,
International Ground Water Modeling Center, Colorado School of Mines,
Golden, CO, May 21-24, 2006, Volume 1, pp. 347-351,
http://www-math.cudenver.edu/~trussell/IGWMCpaperB.pdf.
(With D. W. Dean and T. H. Illangasekare)
"An ELLAM approximation for
advective-dispersive transport with nonlinear equilibrium
and nonequilibrium sorption,"
CMWR XVI - Computational Methods in Water Resources,
P. J. Binning et al., ed., Copenhagen, Denmark, June 19-22, 2006,
http://proceedings.cmwr-xvi.org/contributionDisplay.py?contribId=226&sessionId=10&confId=a051,
http://www-math.cudenver.edu/~trussell/cmwr_copenhagen.pdf.
(With M. W. Farthing, C. E. Kees, and C. T. Miller)
"Advective and diffusive contributions to reactive gas transport during pyrite oxidation in the unsaturated zone,"
Water Resources Res., 43 (2007), W02414, doi:10.1029/2005WR004474,
http://www-math.cudenver.edu/~trussell/2007_WRR_Binning.pdf.
(With P. Binning, D. Postma, J. Wesselingh, and P. Boulin)
"Superconvergence for
control-volume mixed finite element methods on rectangular grids,"
SIAM J. Numer. Anal., 45 (2007), 223-235,
http://www-math.cudenver.edu/~trussell/superconv.pdf.
(With M. F. Wheeler and I. Yotov)
"Modeling DNAPL flow in
heterogeneous porous media,"
Vadose Zone Journal, submitted,
http://www-math.cudenver.edu/~trussell/barnhart_VZJ.doc.
(With D. W. Dean, K. S. Barnhart, and T. H. Illangasekare)
"Adjoint methods are particle
methods,"
in preparation. (With B. O. Heimsund, H. K. Dahle, and
M. S. Espedal)
"A selective lumping (slumping)
scheme for control of oscillations in weighted-residuals numerical
methods,"
in preparation. (P. Binning)
"Error estimates for the
FVELLAM for time-dependent advection-diffusion problems,"
in preparation. (With M. Stynes and H. Wang)
"Efficient multigrid solvers
for the mixed finite element method on 3-D hexahedral grids,"
in preparation. (With J. D. Wilson and R. L. Naff)
"A stochastic differential
equation approach to multiphase flow in porous media,"
in preparation. (With D. W. Dean)
"Control-volume mortar
mixed finite element methods on non-matching rectangular grids,"
in preparation. (With M. F. Wheeler and I. Yotov)
"Analytical tracking
along streamlines in temporally linear Raviart-Thomas velocity
fields," in preparation. (With R. W. Healy)
"Analysis of the operator
splitting method for modelling reactive transport problems," in
preparation. (With P. Engesgaard and K. L. Kipp)
"Robust orderings for
incomplete factorization preconditioners in iterative solution of
linear equations," in preparation. (With K. L. Kipp
and J. S. Otto)
"A three-dimensional
finite-volume Eulerian-Lagrangian localized adjoint method for the
advection-dispersion equation," in preparation. (With C. I.
Heberton, R. W. Healy, and K. L. Kipp)
"Rotation-invariant tensors in simulation of immiscible and miscible displacement," Technical Report 82-8R, Marathon Oil Company, Littleton, CO, 1982.
"Numerical methods for a two-point boundary-value problem and a Buckley-Leverett waterflood," Technical Report 83-4R, Marathon Oil Company, Littleton, CO, 1983.
"Hydraulically fractured gas well simulator (FRAXIM): numerical methods and algorithms," Technical Report 83-7R, Marathon Oil Company, Littleton, CO, 1983.
"Hydraulically fractured gas well simulator (FRAXIM): problem description and basic flow equations," Technical Report 83-12R, Marathon Oil Company, Littleton, CO, 1983.
"Mathematical analysis of two-phase two-component mass transfer," Technical Report 87-3R, Marathon Oil Company, Littleton, CO, 1987.
"Solution of linear equations by ORTHOMIN with incomplete LU (ILU) preconditioning," Technical Report 87-4R, Marathon Oil Company, Littleton, CO, 1987.
"Adaptive implicit finite difference methods: structure, stability analysis, and switching criteria," Technical Report 87-6R, Marathon Oil Company, Littleton, CO, 1987.
"Mathematical formulation of the polymer-flooding option for the New Black-Oil Simulator (NBOS)," Technical Report 87-7R, Marathon Oil Company, Littleton, CO, 1987.
"Generation of evenly spaced saturation data by a penalty least squares method," Technical Report 87-8R, Marathon Oil Company, Littleton, CO, 1987.
"Segregation of fluids in grid cells in the New Black-Oil Simulator (NBOS)," Technical Report 87-9R, Marathon Oil Company, Littleton, CO, 1987.
"Design of a directional well course with simultaneous changes in azimuth and inclination," Technical Report 89-1R, Marathon Oil Company, Littleton, CO, 1989. (With H. M. Shaffer)
"Rigorous block-centered discretizations on irregular grids," Improved Simulation of Complex Reservoir Systems, Project Report No. 2, Reservoir Simulation Research Corporation, Tulsa, OK, April 1990, http://www-math.cudenver.edu/~trussell/young2.ps.
"Switching logic for adaptive implicit finite-difference methods," Improved Simulation of Complex Reservoir Systems, Project Report No. 3, Reservoir Simulation Research Corporation, Tulsa, OK, September 1990, http://www-math.cudenver.edu/~trussell/young3.ps.
"Control-volume mixed finite element methods," Improved Simulation of Complex Reservoir Systems, Project Report No. 7, Reservoir Simulation Research Corporation, Tulsa, OK, October 1992, http://www-math.cudenver.edu/~trussell/young7.ps.
"Control-volume mixed finite element methods for reservoir simulation," Improved Simulation of Complex Reservoir Systems, Project Report No. 11, Reservoir Simulation Research Corporation, Tulsa, OK, April 1995, http://www-math.cudenver.edu/~trussell/young11.ps.
T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, Computational Mechanics Publications, Southampton, U.K., 1992, 770 pages.
T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, Computational Methods in Water Resources IX, Vol. 2: Mathematical Modeling in Water Resources, Computational Mechanics Publications, Southampton, U.K., 1992, 796 pages.
"Houston Hosts Geophysical Sciences Conference," SIAM News, 23, No. 1 (Jan. 1990), p. 18. (With C. N. Dawson)
"SIAG on Geosciences Looks Forward to a Leading Role in Interdisciplinary Research," SIAM News, 25, No. 3 (May 1992), p. 22. (With W. B. Lindquist and M. F. Wheeler)