An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems

Fuente: arXiv
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Autori principali: Burman, Erik, Fernandez, Miguel A., Guzman, Johnny, Liu, Sijing
Natura: Preprint
Pubblicazione: 2025
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author Burman, Erik
Fernandez, Miguel A.
Guzman, Johnny
Liu, Sijing
author_facet Burman, Erik
Fernandez, Miguel A.
Guzman, Johnny
Liu, Sijing
contents We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [Numer. Algorithms, 99:921-948, 2025] for a parabolic-parabolic interface problem. We modify the first step of the scheme so that several error difference quantities remain higher order convergence without requiring additional assumptions. Numerical results are presented to support our findings.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08103
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems
Burman, Erik
Fernandez, Miguel A.
Guzman, Johnny
Liu, Sijing
Numerical Analysis
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [Numer. Algorithms, 99:921-948, 2025] for a parabolic-parabolic interface problem. We modify the first step of the scheme so that several error difference quantities remain higher order convergence without requiring additional assumptions. Numerical results are presented to support our findings.
title An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems
topic Numerical Analysis
url https://arxiv.org/abs/2509.08103