Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
Berthelin, Florent
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003), p. 479-494 / Harvested from Numdam
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We study in this paper some numerical schemes for hyperbolic systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the full-gas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas dynamics with unilateral constraint on the density and mass loss. We also study the non-trivial steady states of the system.

Publié le : 2003-01-01
DOI : https://doi.org/10.1051/m2an:2003038
Classification:  35A35,  35L65,  35L85,  76N15,  76T10 
@article{M2AN_2003__37_3_479_0,
     author = {Berthelin, Florent},
     title = {Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {37},
     year = {2003},
     pages = {479-494},
     doi = {10.1051/m2an:2003038},
     mrnumber = {1994313},
     zbl = {1028.35101},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2003__37_3_479_0}
}

Berthelin, Florent. Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 479-494. doi : 10.1051/m2an:2003038. http://gdmltest.u-ga.fr/item/M2AN_2003__37_3_479_0/

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