A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions
This work offers theoretical foundations for a numerical method used in fluid-structure interaction problems, but the results are incremental as they extend existing formulations.
The paper provides a rigorous stability analysis and optimal convergence estimates for a fictitious domain formulation with distributed Lagrange multiplier for fluid-structure interactions.
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.