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A posteriori error ...
A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-Love buckling problem
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- Hansbo, Peter (author)
- Jönköping University,JTH, Produktutveckling,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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- Larson, Mats G (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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(creator_code:org_t)
- 2015-09-04
- 2015
- English.
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In: Computational Mechanics. - : Springer Berlin/Heidelberg. - 0178-7675 .- 1432-0924. ; 56:5, s. 815-827
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Discontinuous
- Galerkin
- Adaptivity
- A posteriori error estimate
- Kirchoff plate
- Buckling
Publication and Content Type
- ref (subject category)
- art (subject category)
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