Burman, E;
Durst, R;
Guzman, J;
(2022)
Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem.
Numerical Methods for Partial Differential Equations
, 38
(5)
pp. 1396-1406.
10.1002/num.22840.
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Abstract
We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the method is stable and, furthermore, we provide an error estimate that shows the error at the final time T is O( √ T ∆t) where ∆t is the time step.
| Type: | Article |
|---|---|
| Title: | Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/num.22840 |
| Publisher version: | https://doi.org/10.1002/num.22840 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | fluid–structure interaction, Robin–Robin coupling |
| 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/10136112 |
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