A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation

BIT Numerical Mathematics

Volumn 41, Issue 3, 2001, Pages 480-489

  Douglas Jr , Jim ^a   Huang, Chieh Sen ^b  

^a PURDUE UNIVERSITY   (United States)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Eulerian Lagrangian method; Finite difference method; Locally conservative; Parabolic equation

Indexed keywords

EID: 0042195052     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1021963011595     Document Type: Article

References (3)

1. T. Arbogast, A. Chilikapati, and M. F. Wheeler, A characteristics-mixed finite element for contaminant transport and miscible displacement, in Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, T. F. Russell et al., eds., Elsevier Applied Science, London, New York, 1992, pp. 77-84.
2. T. Arbogast and M. F. Wheeler, A characteristics-mixed finite element for advection-dominated transport problems, SIAM J. Numer. Anal., 32 (1995), pp. 404-424.
3. J. Douglas Jr., F. Pereira, and L. M. Yeh, A locally conservative Eulerian-Lagrangian numerical method and its application to nonlinear transport in porous media. Computational Geosciences. 4 (2000), pp. 1-40.