Title : cockburn_al.285.oct.93.ps.Z   

AN ERROR ESTIMATE 
FOR FINITE VOLUME METHODS
FOR MULTIDIMENSIONAL CONSERVATION LAWS
Bernardo Cockburn,Frederic Coquel,Philippe Le Floch

abstract:
In this paper, an error estimate for a
 class of finite volume methods for the approximation of 
scalar multidimensional conservation laws is obtained. 
These methods can be formally high-order accurate and are defined on 
general triangulations.
The error is proven to be of order 1/4 of
 the ``size'' of the mesh, via an extension of Kuznetsov 
approximation theory for which no estimate of the total variation and 
of the modulus of continuity in time are needed. 
The result is new even for the finite volume
method constructed from monotone numerical flux-functions.


The whole paper is available as a compressed Postscript file by internet
procedure FTP anonymous on host barbes.polytechnique.fr ( 129.104.4.100)
in the directory pub/RI/1993 under the name

cockburn_al.285.oct.93.ps.gz