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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Kuberry, Paul¹  Lee, Hyesuk¹ 

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

关键词: Optimal control;    Fluid-structure interaction;    Finite element method;   

DOI  :  10.1016/j.jmaa.2016.01.022

来源: Elsevier

【 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.

【 授权许可】

Free