All-at-once solution of time-dependent Stokes control

JOURNAL OF COMPUTATIONAL PHYSICS

卷:232

Article

Stoll, Martin¹  Wathen, Andy² 

[1] Max Planck Inst Dynam Complex Tech Syst, D-39106 Magdeburg, Germany

[2] Math Inst, Numer Anal Grp, Oxford OX1 3LB, England

关键词: Saddle point problems;    Unsteady Stokes equation;    PDE-constrained optimization;    Preconditioning;   

DOI  :  10.1016/j.jcp.2012.08.039

来源: Elsevier

【 摘 要 】

The solution of time-dependent PDE-constrained optimization problems subject to unsteady flow equations presents a challenge to both algorithms and computing power. In this paper we present an all-at-once approach where we solve for all time-steps of the discretized unsteady Stokes problem at once. The most desirable feature of this approach is that for all steps of an iterative scheme we only need approximate solutions of the discretized Stokes operator. This leads to an efficient scheme which exhibits mesh-independent behaviour. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free