ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65M15, 65M50, 65M60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. The global error of numerical approximations for symmetric positive systems in the sense of Friedrichs is decomposed into a locally created part and a propagating component. Residual-based two-sided local a posteriori error bounds are derived for the locally created part of the global error. These suggest taking the $L^2$ -norm as well as weaker, dual norms of the computable residual as local error indicators. The dual graph norm of the residual ${\vec r}_h$ is further bounded from above and below in terms of the $L^2$ norm of $h {\vec r}_h$ where h is the local mesh size. The theoretical results are illustrated by a series of numerical experiments.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050426
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