In this work, we propose a simple numerical scheme based on a fast front-tracking approach for solving a fluid-structure interaction (FSI) problem of plaque growth in blood vessels. A rigorous error analysis is carried out for the temporal semi-discrete scheme to show that it is first-order accurate for all macro time step $\Delta T$, micro time step $\Delta t$ and scale parameter $\epsilon$. A numerical example is presented to verify the theoretical results and demonstrate the excellent performance of the proposed multiscale algorithm.

翻译：本文提出了一种基于快速前沿追踪方法的简单数值方案，用于求解血管中斑块生长的流固耦合（FSI）问题。我们对时间半离散方案进行了严格的误差分析，证明该方案在所有宏观时间步长$\Delta T$、微观时间步长$\Delta t$和尺度参数$\epsilon$下均具有一阶精度。文中给出了数值算例以验证理论结果，并展示了所提出的多尺度算法的优异性能。