论文标题

在界面矩阵上,用于流体结构的交互问题与虚拟域方法

On the interface matrix for fluid-structure interaction problems with fictitious domain approach

论文作者

Boffi, Daniele, Credali, Fabio, Gastaldi, Lucia

论文摘要

我们研究了基于虚拟领域方法精神的分布式拉格朗日乘数,研究流体结构相互作用问题的最新公式。在本文中,我们将注意力集中在有限元离散化的接口矩阵的关键计算方面上:它涉及在两个不同网格上支持的功能的集成。几个数值测试表明,必须对接口矩阵进行准确的计算,以确保该方法的最佳收敛性。

We study a recent formulation for fluid-structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.

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