# Numerical boundary layers for hyperbolic systems in 1-D

Claire Chainais-Hillairet; Emmanuel Grenier

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 35, Issue: 1, page 91-106
- ISSN: 0764-583X

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topChainais-Hillairet, Claire, and Grenier, Emmanuel. "Numerical boundary layers for hyperbolic systems in 1-D." ESAIM: Mathematical Modelling and Numerical Analysis 35.1 (2010): 91-106. <http://eudml.org/doc/197550>.

@article{Chainais2010,

abstract = {
The aim of this paper is to investigate the stability
of boundary layers which appear in numerical solutions
of hyperbolic systems of conservation laws in one space
dimension on regular meshes. We prove stability under a size
condition for Lax Friedrichs type schemes and inconditionnal
stability in the scalar case. Examples of unstable boundary layers
are also given.
},

author = {Chainais-Hillairet, Claire, Grenier, Emmanuel},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Boundary layers stability.; boundary layers stability; hyperbolic systems of conservation laws; Lax-Friedrichs scheme; numerical examples},

language = {eng},

month = {3},

number = {1},

pages = {91-106},

publisher = {EDP Sciences},

title = {Numerical boundary layers for hyperbolic systems in 1-D},

url = {http://eudml.org/doc/197550},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Chainais-Hillairet, Claire

AU - Grenier, Emmanuel

TI - Numerical boundary layers for hyperbolic systems in 1-D

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 1

SP - 91

EP - 106

AB -
The aim of this paper is to investigate the stability
of boundary layers which appear in numerical solutions
of hyperbolic systems of conservation laws in one space
dimension on regular meshes. We prove stability under a size
condition for Lax Friedrichs type schemes and inconditionnal
stability in the scalar case. Examples of unstable boundary layers
are also given.

LA - eng

KW - Boundary layers stability.; boundary layers stability; hyperbolic systems of conservation laws; Lax-Friedrichs scheme; numerical examples

UR - http://eudml.org/doc/197550

ER -

## References

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## Citations in EuDML Documents

top- Pauline Godillon, Green’s function pointwise estimates for the modified Lax–Friedrichs scheme
- Pauline Godillon, Green's function pointwise estimates for the modified Lax–Friedrichs scheme
- J. Droniou, C. Imbert, J. Vovelle, An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions

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