ISSN:
1436-5057
Keywords:
AMS Subject Classifications: 65N55, 65N30.
;
Key Words: Domain decomposition, interface condition, a posteriori error estimates.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract The application of a non-overlapping domain decomposition method to the solution of a stabilized finite element method for elliptic boundary value problems is considered. We derive an a-posteriori error estimate which bounds the error on the subdomains by the interface error of the subdomain solutions. As a by-product, some foundation is given to the design of the interface transmission condition. Numerical results support the theoretical results. Furthermore, we adapt a recent result on a-posteriori estimates for singular perturbation problems in order to obtain an a-posteriori estimate for the discrete subdomain solutions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s006070050003
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