Burman, Erik;
Durst, Rebecca;
Fernández, Miguel A;
Guzmán, Johnny;
Liu, Sijing;
(2025)
A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems.
IMA Journal of Numerical Analysis
, 45
(5)
pp. 2628-2654.
10.1093/imanum/drae075.
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Abstract
We consider a parabolic-parabolic interface problem and construct a loosely coupled prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J. Numer. Math., 31(1):59–77, 2023]. We show that the errors of the correction step converge at O((∆t)2), under suitable convergence rate assumptions on the discrete time derivative of the prediction step, where ∆t stands for the time-step length. Numerical results are shown to support our analysis and the assumptions.
| Type: | Article |
|---|---|
| Title: | A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imanum/drae075 |
| Publisher version: | https://doi.org/10.1093/imanum/drae075 |
| 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: | defect-correction methods, loosely coupled methods, Robin conditions, parabolic–parabolic 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.ucl.ac.uk/id/eprint/10204411 |
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