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Hybridized CutFEM for Elliptic Interface Problems
University College London, UK, Department of Mathematics.ORCID iD: 0000-0003-4287-7241
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.ORCID iD: 0000-0002-1710-8494
Jönköping University, School of Engineering, JTH, Product Development.ORCID iD: 0000-0001-7352-1550
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.ORCID iD: 0000-0001-5589-4521
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2019 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 41, no 5, p. A3354-A3380Article in journal (Refereed) Published
Abstract [en]

We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, through a skeletal variable, using a Nitsche type approach. We discuss how optimal error estimates for the method are obtained using the tools of cut finite element methods and prove a condition number estimate for the Schur complement. Finally, we present illustrating numerical examples.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2019. Vol. 41, no 5, p. A3354-A3380
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-164715DOI: 10.1137/18M1223836OAI: oai:DiVA.org:umu-164715DiVA, id: diva2:1366317
Funder
Swedish Foundation for Strategic Research , AM13-0029Swedish Research Council, 2013-4708Swedish Research Council, 2017-03911Swedish Research Council, 2018-05262eSSENCE - An eScience Collaboration, -Available from: 2019-10-29 Created: 2019-10-29 Last updated: 2019-10-31

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Elfverson, DanielLarson, Mats G.Larsson, Karl

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Burman, ErikElfverson, DanielHansbo, PeterLarson, Mats G.Larsson, Karl
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