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

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 37.3 (2010): 479-494. <http://eudml.org/doc/194174>.

@article{Berthelin2010,

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},

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

language = {eng},

month = {3},

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/194174},

volume = {37},

year = {2010},

}

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

DA - 2010/3//

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.; numerical scheme; convergence; gas dynamics

UR - http://eudml.org/doc/194174

ER -

## References

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