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Strategies for computing goal-oriented a posteriori error measures in non-linear elasticity
Chalmers University of Technology.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Chalmers University of Technology.
2002 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 55, no 8, 879-894 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the characteristics and performance of goal-oriented a posteriori error measures for a class of non-linear elasticity models, while restriction is made to small strain theory. The chosen error measure of the displacement field can be global or local (probing the chosen quantity in a specific spatial point). The error is computable with the aid of the solution of a dual problem whose data depend on the error measure. The main thrust of the paper is to evaluate the performance of a few different approximation strategies for computing the dual solution. The chosen strategies are compared in terms of accuracy, ease of implementation, reliability and cost-efficiency. A well-known numerical example, the Cook's membrane, is used for the numerical evaluations.

Place, publisher, year, edition, pages
2002. Vol. 55, no 8, 879-894 p.
Keyword [en]
adaptivity, error estimation, elasticity
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15847DOI: 10.1002/nme.513ISI: 000178640700001OAI: oai:DiVA.org:hj-15847DiVA: diva2:440296
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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Citation style
  • apa
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