The authors analyze second-order BDF and Crank-Nicolson time-stepping for a fictitious-domain FSI formulation with distributed Lagrange multiplier and prove stability, with numerical confirmation.
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Higher-order time-stepping schemes for fluid-structure interaction problems
The authors analyze second-order BDF and Crank-Nicolson time-stepping for a fictitious-domain FSI formulation with distributed Lagrange multiplier and prove stability, with numerical confirmation.