Title
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws
Abstract
We consider a multi-dimensional triangular system of conservation laws. This system arises as a model of three-phase flow in porous media and includes multi-dimensional conservation laws with discontinuous coefficients as a special case. The system is neither strictly hyperbolic nor symmetric. We propose an Engquist-Osher type scheme for this system and show that the approximate solutions generated by the scheme converge to a weak solution. Numerical examples are also presented.
Year
DOI
Venue
2010
10.1090/S0025-5718-09-02251-0
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
weak solution,porous media,conservation law
Convergence (routing),Multi dimensional,Mathematical analysis,Flow (psychology),Weak solution,Triangular systems,Numerical analysis,Mathematics,Conservation law,Special case
Journal
Volume
Issue
ISSN
79
269
0025-5718
Citations 
PageRank 
References 
1
0.37
4
Authors
3
Name
Order
Citations
PageRank
Giuseppe Maria Coclite12710.75
Siddhartha Mishra217021.36
Nils Henrik Risebro37938.95