流体-固体耦合问题的全离散有限元估计(英文)

本文讨论了一类流体-固体耦合问题的全离散有限元方法,时间方向的离散,采用向后差分公式和复化左矩形公式来分别近似连续弱形式中关于时间t的一阶导数和积分.文章还给出了全离散有限元解的存在唯一性,并推导了基于全离散解的误差估计.

Fully discrete finite element approximation of a fluid-structure interaction problem

In this paper,the authors consider fully discrete finite element methods for the fluid-structure interaction system. For the time discretization, backward difference algorithm and composite left rectan gular methods are adopted to approximate the continuous derivative and integration with respect to t, re spectively. Existence and uniqueness of finite element solutions are proved,fully discrete error estimates are obtained.