Name
Abstract | ||
|---|---|---|
We consider non-strictly hyperbolic systems of conservation laws in triangular form, which arise in applications like three-phase flows in porous media. We device simple and efficient finite volume schemes of Godunov type for these systems that exploit the triangular structure. We prove that the finite volume schemes converge to weak solutions as the discretization parameters tend to zero. Some numerical examples are presented, one of which is related to flows in porous media. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s00211-008-0199-x | Numerische Mathematik |
Keywords | Field | DocType |
systems,non-strictly hyperbolic system,flows in porous media.,. conservation laws,porous media,efficient finite volume scheme,conservation law,device simple,compensated compactness,finite volume scheme,triangular structure,discretization parameter,triangular system,godunov type,convergence,triangular form,finite volume schemes,weak solution | Convergence (routing),Discretization,Mathematical analysis,Hyperbolic systems,Triangular systems,Porous medium,Finite volume method,Finite volume method for one-dimensional steady state diffusion,Conservation law,Mathematics | Journal |
Volume | Issue | ISSN |
111 | 4 | 0945-3245 |
Citations | PageRank | References |
5 | 0.63 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kenneth Hvistendahl Karlsen | 1 | 71 | 42.24 |
| Siddhartha Mishra | 2 | 170 | 21.36 |
| Nils Henrik Risebro | 3 | 79 | 38.95 |