An alternate relaxation approximation to conservation laws

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 ∞ esti...

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Veröffentlicht in:	Journal of computational and applied mathematics 2007-06, Vol.203 (2), p.437-443
1. Verfasser:	Murthy, A.S. Vasudeva
Format:	Artikel
Sprache:	eng
Schlagworte:	Conservation laws Entropy conditions Exact sciences and technology Hyperbolic singular perturbations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Relaxation schemes Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	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 ∞ estimates under the usual subcharacteristic condition and also construct a convex entropy.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2006.04.019