Burman, E;
Durst, R;
Fernández, M;
Guzmán, J;
(2023)
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems.
Journal of Numerical Mathematics
, 31
(1)
pp. 59-77.
10.1515/jnma-2021-0119.
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Abstract
We present a loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling conditions. We apply a novel unified analysis for this scheme applied to both a Parabolic/Parabolic coupled system and a Parabolic/Hyperbolic coupled system. We show for both systems that the scheme is stable, and the error converges as O(Δt√T+log1/Δt), where Δt is the time step.
| Type: | Article |
|---|---|
| Title: | Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1515/jnma-2021-0119 |
| Publisher version: | https://www.degruyter.com/document/doi/10.1515/jnm... |
| 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. |
| 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/10163219 |
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