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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem
Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
Umeå University.
2015 (engelsk)Inngår i: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 56, nr 5, s. 815-827Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2015. Vol. 56, nr 5, s. 815-827
Emneord [en]
Discontinuous Galerkin, Adaptivity, A posteriori error estimate, Kirchhoff plate, Buckling
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Identifikatorer
URN: urn:nbn:se:hj:diva-28181DOI: 10.1007/s00466-015-1204-8ISI: 000363027000006Scopus ID: 2-s2.0-84945488312OAI: oai:DiVA.org:hj-28181DiVA, id: diva2:861560
Forskningsfinansiär
Swedish Foundation for Strategic Research , AM13-0029Swedish Research Council, 2011-4992Swedish Research Council, 2013-4708eSSENCE - An eScience CollaborationTilgjengelig fra: 2015-10-17 Laget: 2015-10-17 Sist oppdatert: 2017-12-01bibliografisk kontrollert

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