We introduce two global-in-time domain decomposition methods, namely the Steklov-Poincare method and the Robin method, for solving a fluid-structure interaction system. These methods allow us to formulate the coupled system as a space-time interface problem and apply iterative algorithms directly to the evolutionary problem. Each time-dependent subdomain problem is solved independently, which enables the use of different time discretization schemes and time step sizes in the subsystems. This leads to an efficient way of simulating time-dependent phenomena. We present numerical tests for both non-physical and physical problems, with various mesh sizes and time step sizes to demonstrate the accuracy and efficiency of the proposed methods.

翻译：本文针对流固耦合系统提出了两种全局时间域分解方法：Steklov-Poincaré方法与Robin方法。这些方法能够将耦合系统表述为时空界面问题，并直接在演化问题上应用迭代算法。每个依赖于时间的子域问题均可独立求解，从而允许在子系统中采用不同的时间离散格式与时间步长。这为模拟瞬态现象提供了一种高效途径。我们通过非物理问题与物理问题的数值实验，采用多种网格尺寸与时间步长配置，验证了所提方法的精度与计算效率。