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Hybridized CutFEM for Elliptic Interface Problems
University College London, UK, Department of Mathematics.ORCID iD: 0000-0003-4287-7241
Umeå universitet, Institutionen för matematik och matematisk statistik.ORCID iD: 0000-0002-1710-8494
Jönköping University, School of Engineering, JTH, Materials and Manufacturing.ORCID iD: 0000-0001-7352-1550
Umeå universitet, Institutionen för matematik och matematisk statistik.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:hj:diva-46901DOI: 10.1137/18M1223836ISI: 000493897100026Scopus ID: 2-s2.0-85074635827OAI: oai:DiVA.org:hj-46901DiVA, id: diva2:1372654
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: 2019-11-25 Last updated: 2019-11-25Bibliographically approved

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Elfverson, DanielHansbo, PeterLarson, Mats G.Larsson, Karl

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