𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


A posteriori error analysis for lineariz
✍ Weimin Han 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 826 KB

## 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

Functional a posteriori error estimates
✍ Raytcho Lazarov; Sergey Repin; Satyendra K. Tomar 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 261 KB

## 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