Burman, Erik;
Durst, Rebecca;
Fernández, Miguel A;
Guzmán, Johnny;
Liu, Sijing;
(2024)
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method.
Numerical Algorithms
10.1007/s11075-024-01902-z.
(In press).
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Abstract
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [J. Numer. Math., 31(1):59–77, 2023] for a parabolic-parabolic interface problem and prove estimates for the discrete time derivatives of the scalar field in different norms. When the interface is flat and perpendicular to two of the edges of the domain we prove error estimates in the H2 -norm. Such estimates are key ingredients to analyze a defect correction method for the parabolic-parabolic interface problem. Numerical results are shown to support our findings.
| Type: | Article |
|---|---|
| Title: | Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method |
| DOI: | 10.1007/s11075-024-01902-z |
| Publisher version: | http://dx.doi.org/10.1007/s11075-024-01902-z |
| 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: | Parabolic-parabolic interface problem; Loosely coupled scheme; Robin conditions; Stability estimates |
| 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/10196113 |
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