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Hybridized CuTFEM for elliptic interface problems

Burman, E; Elfverson, D; Hansbo, P; Larson, MG; Larsson, K; (2019) Hybridized CuTFEM for elliptic interface problems. SIAM Journal on Scientific Computing , 41 (5) A3354-A3380. 10.1137/18M1223836. Green open access

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Abstract

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.

Type: Article
Title: Hybridized CuTFEM for elliptic interface problems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1137/18M1223836
Publisher version: https://doi.org/10.1137/18M1223836
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: hybridized methods, cut finite element methods, fictitious domain methods, interface problems
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10086344
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