Title | ||
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Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws |
Abstract | ||
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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 Coclite | 1 | 27 | 10.75 |
Siddhartha Mishra | 2 | 170 | 21.36 |
Nils Henrik Risebro | 3 | 79 | 38.95 |