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Burman, E., Elfverson, D., Hansbo, P., Larson, M. G. & Larsson, K. (2019). Hybridized CutFEM for Elliptic Interface Problems. SIAM Journal on Scientific Computing, 41(5), A3354-A3380
Open this publication in new window or tab >>Hybridized CutFEM for Elliptic Interface Problems
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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
National Category
Computational Mathematics
urn:nbn:se:hj:diva-46901 (URN)10.1137/18M1223836 (DOI)000493897100026 ()2-s2.0-85074635827 (Scopus ID)
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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