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

Error analysis of an effective numerical scheme for a temporal multiscale plaque growth problem