Error estimate for finite volume scheme |
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| Authors: | Benoît Merlet Julien Vovelle |
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| Affiliation: | (1) Antenne de Bretagne, ENS cachan, Avenue Robert Schuman, Bruz, France;(2) LAGA, Université Paris-Nord, Avenue J.B. Clément, Villetaneuse, France |
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| Abstract: | 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 ∞(0,t;L 1)-norm for BV data. This result was expected from numerical experiments and is optimal. |
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| Keywords: | 35L65 65M15 |
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