Iterative Substructuring With Lagrange Multipliers for Coupled Fluid- Solid Scattering

摘要

We have proposed an iterative method for the solution of linear systems arising from finite element discretization of the time harmonic acoustics of coupled fluid-solid systems in fluid pressure and solid displacement formulation. The method extended the FETI-H method for the Helmholtz equation 4, 6, 7, 12 to coupled fluid-elastic acoustics. In this paper, we investigate a stabilization of the discrete coupled system for the case when the solid scatterer is at resonance and investigate computationally the convergence of the iterative substructuring method for the modified system.