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.
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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-pp.ucl.ac.uk/id/eprint/10086344 |
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