The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
type: Item
instance of: scholarly article
title: The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
zbMATH Open document ID: 1063.65080
published in: Numerische Mathematik
publication date: 2004-07-01T00:00:00Z
review text: This work is devoted to the theoretical and numerical coupling of two general hyperbolic conservation laws. The coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. The authors prove the convergence and characterize the limit solution of the coupled schemes in a few simple but significative coupling situations. The general coupling problem is analyzed for Riemann initial data. Numerical experiments are presented.
reviewed by: Marek Brandner
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 2077952
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: interface coupling of nonlinear systems
zbMATH Keywords: numerical experiments
zbMATH Keywords: convergence
zbMATH Keywords: Riemann initial value problem
author: Edwige Godlewski
author: P.-A. Raviart
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2077952