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

preprint2020arXivOpen access

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 TT is O(TΔt)O(\sqrt{TΔt}) where ΔtΔt is the time step.

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