A mixed finite element approximation for compressible flow of contamination from nuclear waste in porous media

Acta Mathematica Scientia

Volumn 18, Issue 2, 1998, Pages 146-157

  Chou, S H ^a   Li, Qian ^b  

^a BOWLING GREEN STATE UNIVERSITY   (United States)

^b SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

Compressible; Mixed finite element; Nuclear waste

Indexed keywords

EID: 0347145961     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30747-6     Document Type: Article

References (17)

1. Brezzi F. On the existence, uniqueness and approximation of saddle point problems arising from Lagragian multipliers. RAIRO, Anal. Numer., 1974,2:129-151
2. Brezzi F, Douglas Jr J, Duran R, Fortin M. Mixed finite elements for second order elliptic problems in three variables. Numer. Math., 1987, 51:237-250
3. Brezzi F, Douglas Jr J, Marini L D. Two families of mixed finite elements for second order elliptic problems. Numer. Math., 1985,47: 217-235
4. Chou S H, Li Q. Mixed fintie element methods for compressible miscible displacement in porous media. Math. Comp., 1991,57:507-527
5. Chou S H, Li Q. Numerical analysis of a flow transport problem. Numerical Mathods for Partial Differential Equations, 1996, 12: 221-233
6. Chou S H, Li Q. Characteristic-Galerkin and mixed finite element approximation of contamination by compressible nuclear waste-disposal in porous media. Numerical Mathods for Partial Differential Equations, 1996,12: 315-332
7. Douglas Jr J, Ewing R, Wheeler M F. Approximation of the pressure by a mixed method in the simulation of miscible displaement. RAIRO, Anal. Numer., 1983,17:17-33
8. Douglas Jr J, Roberts J E. Numerical methods for a model for compressible miscible displacement in porous media. Math. Comp., 1983, 41:441-459
9. Dupont T, Fairweather G, Johnson J P. Three level Galerkin methods for parabolic equations. SIAM J. Numer. Anal., 1974,11:392-410
10. Duran R G. On the approximation of mixcible displacement in porous media by a method of characteristics combined with a mixed method. SIAM J. Numer. Anal., 1988,25:898-1001
11. Ewing R E, Yuan Y, Li G. Numerical methods for a model for compressible flow for the nuclear waste contamination in porous media. Submitted to SIAM J. Numer. Anal.
12. Ewing R E, Yuan Y, Li G. Time stepping along characteristics for a mixed finite element approximation for compressible flow of contaimination from nuclear waste in porous media. SIAM J. Numer. Anal., 1989,26: 1513-1524
13. Ewing R E, Yuan Y, Li G. Finite element methods for contamination of nuclear waste-disposal in porous media, in Numerical Analysis 1987. Griffths D F, Watson G A, eds. Pitman Research Notes in Mathematics 170. Longman Scientific and Technical, Essex, UK 1988.53-60
14. 3. Numer. Math., 1980, 35:315-341
15. Raviart P A, Thomas J M. A mixed finte element method for second order elliptic problems, in Mathematical Aspects of the Finite Element Method. Lecture Notes in Mathematics 606
16. Reeves M, Cranwell R M. User's manual for the Sandia Waste-Isolation Flow and Transport Model (SWIFT), Release 4.81. Sandia Report Nure/Cr-2324. SAND81-2516,GF,Sandia National Laboratories, Albuquerque, NM.Nov.1981
17. 2 erroe estimates for Galerkin approximations to parabolic partial differential equations. SIAM J. Numer. Anal., 1973,10:723-759