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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-Love buckling problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 56, no 5, 815-827 p.Article in journal (Refereed) Published
Abstract [en]

Second order buckling theory involves a one-way coupled coupled problem where the stress tensor from a plane stress problem appears in an eigenvalue problem for the fourth order Kirchhoff plate. In this paper we present an a posteriori error estimate for the critical buckling load and mode corresponding to the smallest eigenvalue and associated eigenvector. A particular feature of the analysis is that we take the effect of approximate computation of the stress tensor and also provide an error indicator for the plane stress problem. The Kirchhoff plate is discretized using a continuous/discontinuous finite element method based on standard continuous piecewise polynomial finite element spaces. The same finite element spaces can be used to solve the plane stress problem.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2015. Vol. 56, no 5, 815-827 p.
Keyword [en]
Discontinuous, Galerkin, Adaptivity, A posteriori error estimate, Kirchoff plate, Buckling
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-111138DOI: 10.1007/s00466-015-1204-8ISI: 000363027000006OAI: oai:DiVA.org:umu-111138DiVA: diva2:869017
Available from: 2015-11-12 Created: 2015-11-06 Last updated: 2015-11-12Bibliographically approved

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Larson, Mats G
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ReferencesLink to record
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