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.

翻译：我们根据虚构域法的精神,利用分布式拉格朗格乘数来研究流体-结构互动问题的最新提法,在本文件中,我们集中关注关于有限元素分解界面矩阵的关键计算方面:它涉及将支持两种不同藻类的功能结合起来。若干数字测试表明,必须准确计算接口矩阵,以确保方法的最佳趋同。