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, <villedie@cert.fr>
Publishing information:
Paper submitted to Numerische Mathematik in september 1996
Comments:
Submitted by:
<villedie@cert.fr> July 2 1997.


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