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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Umeå University.
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 oneway 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
2015. Vol. 56, no 5, 815-827 p.
Keyword [en]
Discontinuous Galerkin, Adaptivity, A posteriori error estimate, Kirchhoff plate, Buckling
National Category
Applied Mechanics Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-28181DOI: 10.1007/s00466-015-1204-8ISI: 000363027000006Scopus ID: 2-s2.0-84945488312OAI: oai:DiVA.org:hj-28181DiVA: diva2:861560
Funder
Swedish Foundation for Strategic Research , AM13-0029Swedish Research Council, 2011-4992Swedish Research Council, 2013-4708eSSENCE - An eScience Collaboration
Available from: 2015-10-17 Created: 2015-10-17 Last updated: 2016-10-20Bibliographically approved

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Hansbo, Peter
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