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Error estimates for finite element approximations of effective elastic properties of periodic structures
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing.
2010 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesisAlternative title
Feluppskattningar för finita element-approximationer av effektiva elastiska egenskaper hos periodiska strukturer (Swedish)
Abstract [en]

Techniques for a posteriori error estimation for finite element approximations of an elliptic partial differential equation are studied.This extends previous work on localized error control in finite element methods for linear elasticity.The methods are then applied to the problem of homogenization of periodic structures. In particular, error estimates for the effective elastic properties are obtained. The usefulness of these estimates is twofold.First, adaptive methods using mesh refinements based on the estimates can be constructed.Secondly, one of the estimates can give reasonable measure of the magnitude ofthe error. Numerical examples of this are given.

Place, publisher, year, edition, pages
2010. , p. 42
Series
UPTEC F, ISSN 1401-5757 ; 10 034
Keywords [en]
error estimation, finite elements
Identifiers
URN: urn:nbn:se:uu:diva-125632OAI: oai:DiVA.org:uu-125632DiVA, id: diva2:320431
Presentation
(English)
Uppsok
Technology
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Examiners
Available from: 2010-05-25 Created: 2010-05-25 Last updated: 2010-05-25Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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