Convergence of a fluid-structure interaction problem decoupled by a Neumann control over a single time step

作     者：Kuberry, Paul Lee, Hyesuk 

作者机构：Clemson Univ Dept Math Sci Clemson SC 29634 USA 

出 版 物：《JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS》 (数学分析与应用杂志)

年 卷 期：2016年第437卷第1期

页      面：645-667页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：NSF [DMS-1016182  DMS-1418960] 

主　　题：Optimal control Fluid-structure interaction Finite element method 

摘      要：Building off of previous analytical results for recasting fluid-structure interaction into an optimal control setting, an a priori error estimate is given for the optimality system by means of BRR theory. The convergence of the steepest descent method is proven in a discrete setting for a sufficiently small time step and mesh size. A numerical study is included supporting the theoretical rate of convergence over a single time step. Additional results demonstrate optimal convergence in space and time over several time steps. (C) 2016 Elsevier Inc. All rights reserved.