Convergence of finite volume schemes for triangular systems of conservation laws |
| |
Authors: | Kenneth Hvistendahl Karlsen Siddhartha Mishra Nils Henrik Risebro |
| |
Institution: | (1) Centre of Mathematics for Applications (CMA), University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway |
| |
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.
The research of K. H. Karlsen was supported by an Outstanding Young Investigators Award from the Research Council of Norway. |
| |
Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35L65 35L45 65M06 65M12 76S05 |
本文献已被 SpringerLink 等数据库收录! |