Numerical boundary layers for hyperbolic systems in 1-D

DOI10.1051/m2an:2001100zbMath0980.65093OpenAlexW2142705343MaRDI QIDQ2709438

Emmanuel Grenier, Claire Chainais-Hillairet

Publication date: 25 February 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_1_91_0

zbMATH Keywords

numerical exampleshyperbolic systems of conservation lawsLax-Friedrichs schemeboundary layers stability

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions ⋮ Numerical boundary layers of conservation laws with relaxation extension ⋮ Couches Limites: Un Problème Inverse ⋮ The Neumann numerical boundary condition for transport equations ⋮ Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method ⋮ Green's function pointwise estimates for the modified Lax–Friedrichs scheme

Cites Work

• Unnamed Item
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• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Boundary conditions for nonlinear hyperbolic systems of conservation laws
• Boundary layers in weak solutions of hyperbolic conservation laws
• Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
• Study of limit conditions for a strictly hyperbolic system via parabolic approximation
• First order quasilinear equations with boundary conditions
• Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov
• Convergence d'un schéma volumes finis explicite en temps pour les systèmes hyperboliques linéaires symétriques en domaines bornés
• Nonlinear stability of shock waves for viscous conservation laws
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers)