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Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for Parabolic/Parabolic and Parabolic/Hyperbolic problems

Abstract : We present a loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling conditions. We apply a novel unified analysis for this scheme applied to both a Parabolic/Parabolic coupled system and a Parabolic/Hyperbolic coupled system. We show for both systems that the scheme is stable, and the error converges as O(∆(T + log(1/∆t))^1/2), where ∆t is the time step.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03381765
Contributor : Miguel Angel Fernández Connect in order to contact the contributor
Submitted on : Sunday, October 17, 2021 - 11:25:37 PM
Last modification on : Tuesday, November 16, 2021 - 4:16:44 AM

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  • HAL Id : hal-03381765, version 1

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Erik Burman, Rebecca Durst, Miguel Angel Fernández, Johnny Guzmán. Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for Parabolic/Parabolic and Parabolic/Hyperbolic problems. 2021. ⟨hal-03381765⟩

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