Numerical boundary layers for hyperbolic systems in 1-D
UMPA, ENS-Lyon, 46, allée d'Italie,
69364 Lyon Cedex 07, France.
Revised: 24 October 2000
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.
Mathematics Subject Classification: 65M / 35L
Key words: Boundary layers stability.
© EDP Sciences, SMAI, 2001