Convergence of explicit finite volume schemes for Friedrichs Systems
J.P. Vila and P. Villedieu
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).
- Available as PostScript
- Convergence of explicit finite volume schemes for Friedrichs Systems
- J.P. Vila
- P. Villedieu,
- Publishing information:
- Paper submitted to Numerische Mathematik in september 1996
- Submitted by:
July 2 1997.
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