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Augmented Lagrangian and Galerkin least-squares methods for membrane contact
Department of Mathematics, University College London, United Kingdom.
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Sweden.
2018 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 114, no 11, p. 1179-1191Article in journal (Refereed) Published
Abstract [en]

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. 

Place, publisher, year, edition, pages
John Wiley & Sons, 2018. Vol. 114, no 11, p. 1179-1191
Keyword [en]
Augmented Lagrangian, Contact, Galerkin least squares, Lagrange multiplier, Membrane, Stabilization, Constrained optimization, Contacts (fluid mechanics), Finite element method, Galerkin methods, Lagrange multipliers, Membranes, Numerical methods, Optimization, Augmented Lagrangians, Elastic membranes, Numerical solution, Small deformations, Stabilized finite element methods, Least squares approximations
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-39018DOI: 10.1002/nme.5781Scopus ID: 2-s2.0-85042443902Local ID: JTHProduktutvecklingISOAI: oai:DiVA.org:hj-39018DiVA, id: diva2:1191703
Available from: 2018-03-20 Created: 2018-03-20 Last updated: 2018-05-18Bibliographically approved

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Hansbo, Peter

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