Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire

DOI10.1051/m2an/1992260708351zbMath0772.65065OpenAlexW2276594788MaRDI QIDQ4033711

S. Champier, Thierry Gallouet

Publication date: 16 May 1993

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

Full work available at URL: https://eudml.org/doc/193686

zbMATH Keywords

convergencefinite volume methodtriangular meshEuler schemenonlinear hyperbolic equationupwind uncentered scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh ⋮ Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity ⋮ The gradient discretisation method for linear advection problems ⋮ Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem ⋮ Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes ⋮ On the weak consistency of finite volumes schemes for conservation laws on general meshes

Uses Software

• ESIGN

Cites Work

• Unnamed Item
• On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
• Monotone Difference Approximations for Scalar Conservation Laws
• Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: The Corrected Antidiffusive Flux Approach
• Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory

This page was built for publication: Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire