Error estimate for the Finite Volume Scheme applied to the advection equation
| dc.creator | Merlet, Benoit | |
| dc.creator | Vovelle, Julien | |
| dc.date | 2005-09-13 | |
| dc.date | 2006-06-12 | |
| dc.date.accessioned | 2026-07-07T06:43:01Z | |
| dc.date.available | 2026-07-07T06:43:01Z | |
| dc.description | We study the convergence of a Finite Volume scheme for the linear advection equation with a Lipschitz divergence-free speed in $\R^d$. We prove a $h^{1/2}$-error estimate in the $L^\infty(0,t;L^1)$-norm for $BV$ data. This result was expected from numerical experiments and is optimal. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509274 | |
| dc.identifier | http://arxiv.org/abs/math/0509274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102259 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | MSC Number: 35L65, 65M15 | |
| dc.title | Error estimate for the Finite Volume Scheme applied to the advection equation | |
| dc.type | text |