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multicomponent contaminant transport; characteristic-mixed Godunov method; domain decomposition

References:

[1] T. Arbogast, A. Chilakapati, and M. F. Wheeler: **A characteristic-mixed method for contaminant transport and miscible displacement**. Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, Russell, Ewing, Brebbia, Gray, and Pindar (eds.), Computational Mechanics Publications, Southampton, U.K., 1992, pp. 77–84. MR 1195358

[2] T. Arbogast, C. N. Dawson, P. T. Keenan, M. F. Wheeler, and I. Yotov: **Implementation of mixed finite element methods for elliptic equations on general geometry (submitted)**.

[3] T. Arbogast, C. Dawson, D. Moore, F. Saaf, C. San Soucie, M. F. Wheeler, and I. Yotov: **Validation of the PICS transport code**. Technical Report, Department of Computational and Applied Mathematics, Rice University, 1993.

[4] T. Arbogast, and M. F. Wheeler: **A characteristics-mixed finite element method for advection dominated transport problems**. SIAM J. Numerical Analysis (in press) (1995). MR 1324295

[5] T. Arbogast, and M. F. Wheeler: **A parallel numerical model for subsurface contaminant transport with biodegradation kinetics**. The Mathematics of Finite Elements and Applications, Whiteman, J.R. (ed.), Wiley, New York, 1994, pp. 199–213. MR 1291227

[6] T. Arbogast, M. F. Wheeler, and I. Yotov: **Logically rectangular mixed methods for groundwater flow and transport on general geometry**. Computational Methods in Water Resources X, Vol. 1, Peters, A., et al. (eds.), Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994, pp. 149–156.

[7] T. Arbogast, M. F. Wheeler, and I. Yotov: **Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences (submitted)**.

[8] C. Y. Chiang, C. N. Dawson and M. F. Wheeler: **Modeling of In-situ biorestoration of organic compounds in groundwater**. Transport in Porous Media 6 (1991), 667–702. DOI 10.1007/BF00137855

[9] C. N. Dawson: **Godunov-mixed methods for advective flow problems in one space dimension**. SIAM J. Numer. Anal. 28, (1991), 1282–1309. DOI 10.1137/0728068 | MR 1119271 | Zbl 0741.65068

[10] C. N. Dawson: **Godunov-mixed methods for advection-diffusion equations in multidimensions**. SIAM J. Numer. Anal. 30 (1993), 1315–1332. DOI 10.1137/0730068 | MR 1239823 | Zbl 0791.65062

[11] J. C. Evans, R. W. Bryce, D. J. Bates, and M. L. Kemner: **Hanford Site Ground-Water Surveillance for 1989**. PNL-7396, Pacific Northwest Laboratory, Richland, Washington, 1990.

[12] M. C. Hagood, and V. J. Rohay: **200 West area carbon tetrachloride expedited response action project plan**. WHC-SD-EN-AP-046, Westinghouse Hanford Company, Richland, Washington, 1991.

[13] B. Herrling, J. Stamm, and W. Buermann: **Hydraulic circulation system for in situ bioreclamation and/or in situ remediation of strippable contamination**. In Situ Bioreclamation, Applications and Investigations for Hydrocarbon and Contaminated Site Remediation, Hinchee, R.E., and Olfenbuttel, R.F. (eds.), Butterworth-Heinemann Pub., Boston, 1991, pp. 173–195.

[14] P. T. Keenan, and J. Flower: **PIERS Timings on Various Parallel Supercomputers**. Dept. of Computational and Applied Mathematics Tech. Report #93–29, Rice University, 1993.

[15] G. V. Last, R. J. Lenhard, B. N. Bjornstad, J. C. Evans, K. R. Roberson, F. A. Spane, J. E. Amonette, and M. L. Rockhold: **Characteristics of the volatile organic compound-arid integrated demonstration site**. PNL-7866, Pacific Northwest Laboratory, Richland, Washington, 1991.

[16] J. C. Parker: **Multiphase flow and transport in porous media**. Reviews of Geophysics 27 (1989), 311–328. DOI 10.1029/RG027i003p00311

[17] D. W. Peaceman: **Fundamentals of Numerical Reservoir Simulation**. Elsevier, Amsterdam, 1977.

[18] R. G. Riley: **Arid site characterization and technology assessment: volatile organic compounds-arid integrated demonstration**. PNL-8862, Batalle, Pacific Northwest Laboratory, 1993.

[19] R. S. Skeen, K. R. Roberson, T. M. Brouns, J. N. Petersen, and M. Shouche: **In-situ bioremediation of Hanford groundwater**. Proceedings of the 1st Federal Environmental Restoration Conference, Vienna, Virginia, 1992.

[20] J. M. Thomas, M. D. Lee, P. B. Bedient, R. C. Borden, L. W. Canter, and C. H. Ward: **Leaking underground storage tanks: remediation with emphasis on in situ biorestoration**. Environmental Protection Agency 600/2-87, 008, 1987.

[21] J. A. Wheeler, R. and Smith: **Reservoir simulation on a hypercube, SPE 19804**. Proceedings of the 64th Annual Technical Conference and Exhibition, Society of Petroleum Engineers, Richardson, Texas, 1989.

[22] M. F. Wheeler, C. N. Dawson, P. B. Bedient, C. Y. Chiang, R. C. Borden, and H. S. Rifai: **Numerical simulation of microbial biodegradation of hydrocarbons in groundwater**. Proceedings of AGWSE/IGWMCH Conference on Solving Ground Water Problems with Models, National Water Wells Association, 1987, pp. 92–108.