Convergence and Sensitivity Analysis of Repair Algorithms in 1D

Bruno Despres (1) , Raphaël Loubère (2)

1 DSSI - Département des Sciences de la Simulation et de l'Information
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We prove the convergence of some repair algorithms for linear advection in dimension one. The convergence depends on the size of the box where the distribution of the mass excess is performed. Various numerical examples illustrate the theoretical results. Applications to gas dynamics in dimension one is also discussed.

Mots clés: Finite Volume Schemes; Repair algorithms; TVD schemes; Gas Dynamics

Domaines: Analyse numérique [math.NA]

Bruno Despres, Raphaël Loubère. Convergence and Sensitivity Analysis of Repair Algorithms in 1D. International Journal on Finite Volumes, 2006, 3 (1), pp.13. ⟨hal-01114186⟩