三次样条法解决动脉移植设计问题

2015 8th International Conference on Biomedical Engineering and Informatics (BMEI) Pub Date : 2015-10-01 DOI:10.1109/BMEI.2015.7401513

Dongdong Jiang, Xianliang Hu, Danfu Han

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引用次数: 2

摘要

提出了一种用三次样条曲线描述动脉移植设计问题中区域形状的新算法，并用基于血流的形状优化方法对该问题进行了数学建模。然后研究了基于样条系数的优化方法，其中流动问题采用混合有限元公式，并采用移动网格技术对优化形状进行跟踪。数值结果表明了该方法的收敛性。

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A cubic spline approach for solving the arterial graft design problem

A new algorithm is proposed by the cubic spline to describe the shape of the domain in an arterial graft design problem, which is mathematically modeled with a flow-based shape optimization. The optimization method based on the coefficients of the spline is then studied, where a mixed finite element formulation is used for the flow problem and the moving mesh technique is adopted to track the optimized shape. The numerical results are illustrated to show the convergence of the proposed scheme.

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2015 8th International Conference on Biomedical Engineering and Informatics (BMEI)

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