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.
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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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