The modified method of characteristics with adjusted advection

Numerische Mathematik

Volumn 83, Issue 3, 1999, Pages 353-369

  Douglas Jr , Jim ^a   Huang, Chieh Sen ^b   Pereira, Felipe ^c  

^a PURDUE UNIVERSITY   (United States)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

^c STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040111765     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050453     Document Type: Article

References (11)

1. Arbogast, T., Wheeler, M.F. (1995): A characteristics-mixed finite element for advection-dominated transport problems. SIAM J. Numer. Anal. 32, 404-424
2. Binning, P., Celia, M.A. (1994): Two-dimensional Eulerian Lagrangian localised adjoint method for the solution of the contaminant transport equation in the saturated and unsaturated zones. "Proceedings, Tenth International Conference on Computational Methods in Water Resources." Peters, A. et al., eds., Kluwer, Dordrecht, vol. 1, 165-172
3. Celia, M.A. (1994): Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations. "Proceedings, Tenth International Conference on Computational Methods in Water Resources." Peters, A. et al., eds., Kluwer, Dordrecht, vol. 1, 207-216
4. Celia, M.A., Russell, T.F., Herrera, I., Ewing, R.E. (1990): An Eulerian-Lagrangian local adjoint method for the advection-diffusion equation. Adv. Water Resour. 13(4), 187-206
5. Ciarlet, P. (1978): "The Finite Element Method for Elliptic Equations". North-Holland, Amsterdam
6. Douglas, J., Jr., Furtado, F., Pereira, F. (1997): On the numerical simulation of water-flooding of heterogeneous petroleum reservoirs. Computational Geosciences 1, 155-190
7. Douglas, J., Jr., Pereira, F., Yeh, L.-M. (1997): A parallelizable method for two-phase flows in naturally-fractured reservoirs. Computational Geosciences 1, 333-368
8. Douglas, J., Jr., Russell, T.F. (1982): 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, 871-885
9. Healy, R.W., Russell, T.F. (1993): A finite-volume Eulerian-Lagrangian localized adjoint method for solving the advection-diffusion equation, Water Resour. Res. 29(7), 2399-2413
10. Russell, T.F. (1985): Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. SIAM J. Numer. Anal. 22, 970-1013
11. 2-error estimates for Galerkin approximations to parabolic partial differential equations. SIAM J. Numer Anal. 10, 723-759