Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure
SIAM Journal on Scientific Computing
Optimized Schwarz Methods without Overlap for the Helmholtz Equation
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
New Nonoverlapping Domain Decomposition Methods for the Harmonic Maxwell System
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Fluid-structure partitioned procedures based on Robin transmission conditions
Journal of Computational Physics
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
SIAM Journal on Scientific Computing
A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
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In the solution of fluid-structure interaction (FSI) problems, partitioned procedures are modular algorithms that involve separate fluid and structure solvers that interact in an iterative framework through the exchange of suitable transmission conditions at the FS interface. In this work we study, using Fourier analysis, the convergence of partitioned algorithms based on Robin transmission conditions. We derive, for different models of the fluid and the structure, a frequency-dependent reduction factor at each iteration of the partitioned algorithm, which is minimized by choosing optimal values of the coefficients in the Robin transmission conditions. Two-dimensional numerical results are also reported, which highlight the effectiveness of the optimization procedure.