An alternate relaxation approximation to conservation laws

被引：2
|
作者：
Murthy, A. S. Vasudeva [1 ]
机构：
[1] TIFR Ctr, Bangalore 560012, Karnataka, India
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 203卷 / 02期
关键词：
relaxation schemes; conservation laws; entropy conditions; hyperbolic singular perturbations;
D O I：
10.1016/j.cam.2006.04.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a slight modification to the relaxation system of Jin and Xin which approximates a conservation law. The proposed alternate system satisfies an integral constraint that is more consistent than the standard one while retaining the semilinear structure. We establish L-infinity estimates under the usual subcharacteristic condition and also construct a convex entropy. (C) 2006 Elsevier B.V. All rights reserved.
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页码：437 / 443
页数：7
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