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Stability of moving mesh systems of partial differential equations
Y Ren¹ , S Li & L Petzold
¹ School of Mathematical Sciences,
University of Bath, Bath, BA2 7AY
Abstract
Moving mesh methods based on the equidistribution principle are studied
from the viewpoint of stability of the moving mesh system of differential
equations. For fine spatial grids, the moving mesh system inherits the
stability of the original discretized PDE. Unfortunately, for some PDEs
the moving mesh methods require so many spatial grid points that they
no longer appear to be practical. Failures and successes of the moving
mesh method applied to three reaction-diffusion problems are explained
via an analysis of the stability and accuracy of the moving mesh PDE.
Last modified Fri Jun 21 19:19:15 GB-Eire 1996
(DBD)