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Augmented Lagrangian and Galerkin least‐squares methods for membrane contact

Burman, E; Hansbo, P; Larson, MG; (2018) Augmented Lagrangian and Galerkin least‐squares methods for membrane contact. International Journal for Numerical Methods in Engineering , 114 (11) pp. 1179-1191. 10.1002/nme.5781. Green open access

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Abstract

In this paper, we propose a stabilized finite element method for the numerical solution of contact between a small deformation elastic membrane and a rigid obstacle. We limit ourselves to friction‐free contact, but the formulation is readily extendable to more complex situations.

Type: Article
Title: Augmented Lagrangian and Galerkin least‐squares methods for membrane contact
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/nme.5781
Publisher version: https://doi.org/10.1002/nme.5781
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: augmented Lagrangian, contact, Galerkin least squares, Lagrange multiplier, membrane, stabilization
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10042481
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