Duality-based adaptive model reduction for one-way coupled thermoelastic problems
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
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.
model reduction, component mode synthesis, thermoelasticity, adaptive, a posteriori
IdentifiersURN: urn:nbn:se:umu:diva-43743DOI: 10.1002/nme.4273ISI: 000305681300005OAI: oai:DiVA.org:umu-43743DiVA: diva2:415721
Article included in thesis in manuscript form.2011-05-092011-05-092012-07-23Bibliographically approved