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Deriving Robust Unfitted Finite Element Methods from Augmented Lagrangian Formulations
Department of Mathematics, University College London, 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
2017 (English)In: Geometrically Unfitted Finite Element Methods and Applications / [ed] Bordas, Stéphane P. A.; Burman, Erik; Larson, Mats G.; Olshanskii, Maxim A., Cham: Springer International Publishing , 2017, p. 1-24Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we will discuss different coupling methods suitable for use in the framework of the recently introduced CutFEM paradigm, cf. Burman et al. (Int. J. Numer. Methods Eng. 104(7):472–501, 2015). In particular we will consider mortaring using Lagrange multipliers on the one hand and Nitsche’s method on the other. For simplicity we will first discuss these methods in the setting of uncut meshes, and end with some comments on the extension to CutFEM. We will, for comparison, discuss some different types of problems such as high contrast problems and problems with stiff coupling or adhesive contact. We will review some of the existing methods for these problems and propose some alternative methods resulting from crossovers from the Lagrange multiplier framework to Nitsche’s method and vice versa.

Place, publisher, year, edition, pages
Cham: Springer International Publishing , 2017. p. 1-24
Series
Lecture Notes in Computational Science and Engineering, ISSN 1439-7358, E-ISSN 2197-7100 ; 121
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-39006DOI: 10.1007/978-3-319-71431-8_1Scopus ID: 2-s2.0-85044145477ISBN: 978-3-319-71430-1 (print)ISBN: 978-3-319-71431-8 (electronic)OAI: oai:DiVA.org:hj-39006DiVA, id: diva2:1191190
Conference
UCL workshop, 6-8th January 2016
Available from: 2018-03-16 Created: 2018-03-16 Last updated: 2018-07-17Bibliographically approved

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Hansbo, Peter

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