Mortaring for linear elasticity using mixed and stabilized finite elements
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2023-02-01
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Language
en
Pages
13
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Computer Methods in Applied Mechanics and Engineering, Volume 404
Abstract
The purpose of this work is to study mortar methods for linear elasticity using standard low order finite element spaces. Based on residual stabilization, we introduce a stabilized mortar method for linear elasticity and compare it to the unstabilized mixed mortar method. For simplicity, both methods use a Lagrange multiplier defined on a trace mesh inherited from one side of the interface only. We derive a quasi-optimality estimate for the stabilized method and present the stability criteria of the mixed P1 - P1 approximation. Our numerical results demonstrate the stability and the convergence of the methods for tie contact problems. Moreover, the results show that the mixed method can be successfully extended to three dimensional problems.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).Description
Funding Information: The work was supported by the Academy of Finland (Decisions 324611 and 338341 ) and the Portuguese government through FCT (Fundação para a Ciência e a Tecnologia) , I.P., under the projects PTDC/MAT-PUR/28686/2017 and UIDB/04459/2020 . Publisher Copyright: © 2022 The Author(s)
Keywords
Finite elements, Linear elasticity, Mortar methods, Tie contact
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Citation
Gustafsson, T, Råback, P & Videman, J 2023, ' Mortaring for linear elasticity using mixed and stabilized finite elements ', Computer Methods in Applied Mechanics and Engineering, vol. 404, 115796 . https://doi.org/10.1016/j.cma.2022.115796