Preprint 1997-017

Convergence of explicit finite volume schemes for Friedrichs Systems

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.