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Cut finite element methods for coupled bulk–surface problems

Burman, E; Hansbo, P; Larson, MG; Zahedi, S; (2016) Cut finite element methods for coupled bulk–surface problems. Numerische Mathematik , 133 (2) pp. 202-231. 10.1007/s00211-015-0744-3. Green open access

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Abstract

We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and L2L2 norms of the error. Using stabilization terms we show that the resulting algebraic system of equations has a similar condition number as a standard fitted finite element method. Finally, we present a numerical example illustrating the accuracy and the robustness of our approach.

Type: Article
Title: Cut finite element methods for coupled bulk–surface problems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00211-015-0744-3
Publisher version: http://dx.doi.org/10.1007/s00211-015-0744-3
Language: English
Additional information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00211-015-0744-3.
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/1476746
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