Preprint 1998-012

Rate of Convergence for the Zero Relaxation Limit

Wen Shen, Aslak Tveito, and Ragnar Winther


Abstract: Some recent results on the rate of convergence towards equilibrium for some $2\times2$ systems of conservation laws which include stiff relaxation terms are presented. We focus our attention on certain specific model problems. We will discuss the possibility of deriving properties like bounds on the total variation, stability with respect the initial data and error estimates for finite difference schemes which are independent of the relaxation parameters, and explain how such bounds can be used to obtain estimates on the rate of convergence for the zero relaxation limit.


Paper:
Available as PostScript
Title:
Rate of convergence for the zero relaxation limit
Author(s):
Wen Shen, mailto:wens@ifi.uio.no
Aslak Tveito, mailto:aslak@ifi.uio.no
Ragnar Winther, mailto:ragnar@ifi.uio.no
Publishing information:
Comments:
Submitted by:
mailto:wens@ifi.uio.no March 27 1998.


[ 1996 Preprints | 1997 Preprints | 1998 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 Mar 27 16:05:41 1998
Сайт управляется системой uCoz