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A posteriori error analysis of component mode synthesis for the elliptic eigenvalue problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
2011 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 200, no 41-44, 2840-2847 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier , 2011. Vol. 200, no 41-44, 2840-2847 p.
Keyword [en]
Model reduction, Component mode synthesis, A posteriori error estimate, Adaptivity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-43740DOI: 10.1016/j.cma.2011.05.002OAI: oai:DiVA.org:umu-43740DiVA: diva2:415714
Available from: 2011-05-09 Created: 2011-05-09 Last updated: 2017-12-11Bibliographically approved
In thesis
1. Adaptive reduction of finite element models in computational solid mechanics
Open this publication in new window or tab >>Adaptive reduction of finite element models in computational solid mechanics
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Umeå: Department of mathematics and mathematical statistics, 2011
Identifiers
urn:nbn:se:umu:diva-43750 (URN)978-91-7459-227-6 (ISBN)
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Available from: 2011-05-12 Created: 2011-05-09 Last updated: 2012-05-29Bibliographically approved

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Jakobsson, HåkanLarson, Mats G.
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Citation style
  • apa
  • ieee
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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