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Mode superposition with submodeling
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.
2012 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 90, no 6, 739-751 p.Article in journal (Refereed) Published
Abstract [en]

We investigate a new approach for local enhancement of mode superpositions, which builds on the concept of submodeling. To this end, we impose a multiscale split on the reduced solution into a global part defined by the mode superposition method and a local part defined by a patch problem solved in a subspace of the finite element space associated with a subdomain around some region of interest. The patch problem yields a local correction on the modal approximation. We describe the basics of this approach and evaluate the accuracy of the approximation in elastostatic numerical examples. We also demonstrate how the submodeling technique may be applied as a post-processing operation on a set of reduced solutions, for example, from dynamics simulation, to enhance accuracy in some domain of interest. Copyright (C) 2012 John Wiley & Sons, Ltd.

Place, publisher, year, edition, pages
Malden, MA: Wiley-Blackwell, 2012. Vol. 90, no 6, 739-751 p.
Keyword [en]
model reduction, mode superposition, submodeling
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-55498DOI: 10.1002/nme.3340ISI: 000303048900003OAI: oai:DiVA.org:umu-55498DiVA: diva2:528757
Available from: 2012-05-28 Created: 2012-05-21 Last updated: 2017-12-07Bibliographically 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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