CONVERGENCE OF AN ENGQUIST-OSHER SCHEME FOR A MULTI-DIMENSIONAL TRIANGULAR SYSTEM OF CONSERVATION LAWS

被引：11

作者：

Coclite, G. M. ^{[1
]}

Mishra, S. ^{[2
]}

Risebro, N. H. ^{[2
]}

机构：

[1] Univ Bari, Dept Math, I-70125 Bari, Italy

[2] Univ Oslo, Ctr Math Applicat, N-0316 Oslo, Norway

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 269期

关键词：

DIFFERENCE SCHEME; DISCONTINUOUS FLUX;

D O I：

10.1090/S0025-5718-09-02251-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：71 / 94

页数：24

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