Preprint 1997-017

Convergence of explicit finite volume schemes for Friedrichs Systems

J.P. Vila and P. Villedieu


Abstract: In this paper we study the convergence of of explicit Finite Volume schemes for general multidimensional Friedrichs systems. By generalizing a previous result of Kuznetsov for Finite Difference schemes applied to scalar conservation laws, we obtain under general assumptions error bounds in h^(1/8). when the initial data lies in H^s(R^d) for s large enough. Convergence follows for initial data in L^2(R^d).


Paper:
Available as PostScript
Title:
Convergence of explicit finite volume schemes for Friedrichs Systems
Author(s):
J.P. Vila
P. Villedieu, mailto:villedie@cert.fr
Publishing information:
Paper submitted to Numerische Mathematik in september 1996
Comments:
Submitted by:
mailto:villedie@cert.fr July 2 1997.


[ 1996 Preprints | 1997 Preprints | All Preprints | Preprint Server Homepage ]
(c) The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

mailto:conservation@math.ntnu.no
Last modified: Fri Jul 11 09:36:13 1997
Сайт управляется системой uCoz