%0 Journal Article
%T 一种基于对角化的抛物型最优控制问题的预处理子<br>A Preconditioner for Parabolic Optimal Control Problems Based on Diagonalization
%A 高广
%J Advances in Applied Mathematics
%P 2530-2540
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.135241
%X 本文研究了求解抛物型偏微分方程约束的最优控制问题，利用对角化技巧，提出了一个新的基于对角化的预处理子，用于快速求解大型稀疏方程组。数值实验说明了预处理子的良好加速效果和稳定性。<br />
In this paper, we study the solution of the optimal control problem constrained by parabolic partial differential equations. By using the diagonalization technique, we propose a new preconditioner based on diagonalization to quickly calculate the large sparse equation system. Numerical experiments demonstrate the good acceleration effect and stability of the preconditioner.
%K 预处理子，最优控制，抛物方程，对角化<br>Preconditioner
%K Optimal Control
%K Parabolic Equations
%K Diagonalization
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88618