An advanced arbitrary Lagrangian–Eulerian (ALE) mixed finite element method (FEM) is developed for a cardiovascular fluid–structure interaction (FSI) problem with multiple moving interfaces arising from cardiovascular diseases (CVDs), where the aneurysm on the artery wall and the implanted stent graft are involved as multi-structural domains, interacting with the blood fluid in different regions through multiple moving interfaces. A monolithic, fully discrete ALE-mixed finite element method is well developed to solve the moving multi-interface problem in the cardiovascular environment, where the blood fluid region is divided into two subregions by two structural domains: the artery wall and the stent graft, inducing three moving interfaces amongst them that are interacting with each other due to the motion of the blood fluid. Consequently, a FSI-induced saddle-point linear algebraic system from the developed ALE-FEM, in which velocity variables of both the fluid and the structure are combined, together with the fluid pressure variable, is thus formed and solved by some well developed preconditioned linear solvers. Numerical experiments are carried out for a modified FSI benchmark problem and two realistic cardiovascular problems to demonstrate the effectiveness and the strength of the developed monolithic ALE-mixed finite element method. This paper is a significant extension version of the authors’ conference paper (Sun et al., 2020) [1].

先进的任意拉格朗日-欧拉（ALE）混合有限元方法（FEM）被开发用于解决心血管疾病（CVD）引起的具有多个移动界面的心血管流体-结构相互作用（FSI）问题，其中动脉壁和血管壁上的动脉瘤植入的支架移植物涉及多个结构域，并通过多个移动界面与不同区域的血液流体相互作用。为了解决心血管环境中的移动多界面问题，将血液流体区域通过两个结构域分为两个子区域：动脉壁和支架移植物，由于血液的运动，在它们之间产生了三个相互作用的运动界面。所以，因此，由发达的ALE-FEM建立了FSI诱导的鞍点线性代数系统，其中流体和结构的速度变量以及流体压力变量被组合在一起，并由一些完善的预处理线性求解器进行求解。对改进的FSI基准问题和两个现实的心血管问题进行了数值实验，以证明开发的整体式ALE混合有限元方法的有效性和强度。本文是作者会议论文的重要扩展版本（Sun等，2020）[1]。这样就可以通过一些完善的预处理线性求解器来形成和求解。对改进的FSI基准问题和两个现实的心血管问题进行了数值实验，以证明开发的整体式ALE混合有限元方法的有效性和强度。本文是作者会议论文的重要扩展版本（Sun等，2020）[1]。因此，通过一些完善的预处理线性求解器来形成并求解。对改进的FSI基准问题和两个现实的心血管问题进行了数值实验，以证明开发的整体式ALE混合有限元方法的有效性和强度。本文是作者会议论文的重要扩展版本（Sun等，2020）[1]。