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Space-time finite elements and an adaptive strategy for the coupled thermoelasticity problem
Chalmers University of Technology.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Chalmers University of Technology.
2003 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 56, no 2, 261-293 p.Article in journal (Refereed) Published
Abstract [en]

A space-time finite element method for the linear thermo-elasticity problem is outlined. By establishing the appropriate dual problem in space-time. it is possible to establish an exact a posteriori error representation formula based on residuals and the dual solution. In particular, we focus on the error generation in time. An adaptive strategy in the time-domain is proposed, and its performance is investigated with the aid of a numerical example in 2D. In particular. the excellent precision of the error estimate. in terms of the effectivity, index being close to unity, is noted.

Place, publisher, year, edition, pages
2003. Vol. 56, no 2, 261-293 p.
Keyword [en]
adaptivity, error estimation, thermo-elasticity
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15844DOI: 10.1002/nme.563ISI: 000180021300005OAI: oai:DiVA.org:hj-15844DiVA: diva2:440300
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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Hansbo, Peter
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