Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem

Erik Burman; Rebecca Durst; Johnny Guzman

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arXiv · 1911.06760

Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem

Erik Burman·Rebecca Durst·Johnny Guzman

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Abstract

We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the method is stable and, furthermore, we provide an error estimate that shows the error at the final time $T$ is $O(\sqrt{TΔt})$ where $Δt$ is the time step.

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Erik Burman, Rebecca Durst, Johnny Guzman. 2020-04-21. Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. https://arxiv.org/abs/1911.06760

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