# Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

- Volume: 37, Issue: 3, page 479-494
- ISSN: 0764-583X

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topBerthelin, Florent. "Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.3 (2003): 479-494. <http://eudml.org/doc/244902>.

@article{Berthelin2003,

abstract = {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.},

author = {Berthelin, Florent},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {numerical scheme; conservation laws with constraint; convergence of scheme; entropy scheme; gas dynamics; convergence},

language = {eng},

number = {3},

pages = {479-494},

publisher = {EDP-Sciences},

title = {Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint},

url = {http://eudml.org/doc/244902},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Berthelin, Florent

TI - Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 3

SP - 479

EP - 494

AB - 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.

LA - eng

KW - numerical scheme; conservation laws with constraint; convergence of scheme; entropy scheme; gas dynamics; convergence

UR - http://eudml.org/doc/244902

ER -

## References

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