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

2023/06/17 by Zhaoyang Wang, Ping Lin, Wang, Zhaoyang +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Mathematical Biology Tumor Growth #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2306.10251

openalex publication_date 2023/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ΔT, micro time step Δt and scale parameter ε. A numerical example is presented to verify the theoretical results and demonstrate the excellent performance of the proposed multiscale algorithm.

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