We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.
CITATION STYLE
Boffi, D., & Gastaldi, L. (2017). A fictitious domain approach with Lagrange multiplier for fluid-structure interactions. Numerische Mathematik, 135(3), 711–732. https://doi.org/10.1007/s00211-016-0814-1
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