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A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems

Burman, Erik; Durst, Rebecca; Fernandez, Miguel A; Guzman, Johnny; Liu, Sijing; (2024) A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems. IMA Journal of Numerical Analysis , Article drae075. 10.1093/imanum/drae075. (In press).

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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((

Type: Article
Title: A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems
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-pp.ucl.ac.uk/id/eprint/10204411
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