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Pré-Publication, Document De Travail Année : 2024

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

Résumé

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 second-order, under suitable convergence rate assumptions on the discrete time derivative of the prediction step. Numerical results are shown to support our analysis and the assumptions.
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hal-04530926 , version 1 (03-04-2024)

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Erik Burman, Rebecca Durst, Miguel Angel Fernández, Johnny Guzmán, Sijing Liu. A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. 2024. ⟨hal-04530926⟩
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