## Abstract The paper is devoted to a __posteriori__ quantitative analysis for errors caused by linearization of non‐linear elliptic boundary value problems and their finite element realizations. We employ duality theory in convex analysis to derive computable bounds on the difference between the s
A posteriori error analysis of component mode synthesis for the elliptic eigenvalue problem
✍ Scribed by Håkan Jakobsson; Mats G. Larson
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 611 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
a b s t r a c t
We develop a posteriori error estimates for the error associated with model reduction of elliptic eigenvalue problems using component mode synthesis (CMS). The estimates reflect to what degree each CMS subspace influence the overall error in the reduced solution. This allows for automatic error control through adaptive algorithms that determine suitable dimensions of each CMS subspace.
📜 SIMILAR VOLUMES
## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundary‐value problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim
ı ıa Matem a atica, Facultad de Ciencias F ı ısicas y Matem a aticas, Universidad de Concepci o on, Casilla 160-C, Concepci o on, Chile