A DLM/FD method for fluid/flexible-body interactions

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An immersed boundary method for fluid–flexible structure interaction (2009, methodology): “Instead of using the moving grid systems, the freely moving boundary can also be captured by Lagrangian multipliers in the fictitious domain method [2], or using momentum forcing in the immersed boundary (IB) method [3].”
Flapping and Bending Bodies Interacting with Fluid Flows (2011, background): “Yu (2005) extended the Lagrange-multiplier/fictious-domain methods of Glowinski et al. (1999), developed for fluid/rigid-body interactions, to interactions with flexible bodies.”
An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction (2008, methodology): “The DLM/ FD methods have since been extended to simulate thin, deformable structural surfaces [1,11,40] as well as to flexible and fully fledged structures [47].”
Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “As shown in Yu [20] the amount of disturbance does not influence the final stable state, in which the solid will oscillate with constant amplitude.”
Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “The works done by Glowinski et al. (1999, 2000, 2001), Patankar (2001) and Yu (2005, 2007) are the representatives of this group of techniques.”