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Duality-based adaptive model reduction for one-way coupled thermoelastic problems
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.
2012 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 91, no 3, 306-318 p.Article in journal (Other academic) Published
Abstract [en]

 In this paper, we derive a discrete a posteriori error estimate for a thermoelastic model problem discretized using a reduced finite element method. The problem is one-way coupled in the sense that heat transfer affects elastic deformation but not vice versa. A reduced model is constructed using component mode synthesis in each of the heat transfer and linear elastic finite element solvers. The error estimate bounds the difference between the reduced and the standard finite element solution in terms of discrete residuals and corresponding dual weights. A main feature with the estimate is that it automatically gives a quantitative measure of the propagation of error between the solvers with respect to a certain computational goal. The analytical results are accompanied by a numerical example.

Place, publisher, year, edition, pages
2012. Vol. 91, no 3, 306-318 p.
Keyword [en]
model reduction, component mode synthesis, thermoelasticity, adaptive, a posteriori
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-43743DOI: 10.1002/nme.4273ISI: 000305681300005OAI: oai:DiVA.org:umu-43743DiVA: diva2:415721
Note
Article included in thesis in manuscript form.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, MatsBengzon, Fredrik
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CiteExportLink to record
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Citation style
  • apa
  • ieee
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