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(TΔt) where Δt is the time step.
Cite
@article{arxiv.1911.06760,
title = {Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem},
author = {Erik Burman and Rebecca Durst and Johnny Guzman},
journal= {arXiv preprint arXiv:1911.06760},
year = {2020}
}