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Adaptive component mode synthesis in linear elasticity
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.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
2011 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 86, no 7, 801-934 p.Article in journal (Refereed) Published
Abstract [en]

Component mode synthesis (CMS) is a classical method for the reduction of large-scale finite element models in linear elasticity. In this paper we develop a methodology for adaptive refinement of CMS models. The methodology is based on a posteriori error estimates that determine to what degree each CMS subspace influence the error in the reduced solution. We consider a static model problem and prove a posteriori error estimates for the error in a linear goal quantity as well as in the energy and L2 norms. Automatic control of the error in the reduced solution is accomplished through an adaptive algorithm that determines suitable dimensions of each CMS subspace. The results are demonstrated in numerical examples.

Place, publisher, year, edition, pages
2011. Vol. 86, no 7, 801-934 p.
Keyword [en]
component mode synthesis, substructuring, adaptivity, a posteriori error estimation, model reduction, finite element method
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-43738DOI: 10.1002/nme.3078OAI: oai:DiVA.org:umu-43738DiVA: diva2:415712
Available from: 2011-05-09 Created: 2011-05-09 Last updated: 2012-01-14Bibliographically 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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Supervisors
Available from: 2011-05-12 Created: 2011-05-09 Last updated: 2012-05-29Bibliographically approved

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Jakobsson, HåkanBengzon, FredrikLarson, Mats G.

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