Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

B. Karasozen; F. Yilmaz

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Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

机译：时空离散的非定常Burgers方程的最优边界控制

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摘要

The optimality system for boundary controlled unsteady Burgers equation is transformed after linearization into a biharmonic equation in the space-time domain. It is then discretized in space and time simultaneously, so that standard finite element software can be easily implemented. Numerical experiments with and without control constraint problems confirm the applicability of this approach.

机译：边界控制的非稳态Burgers方程的最优系统在线性化后被转换为时空域的双调和方程。然后将其同时在空间和时间上离散化，以便可以轻松实现标准的有限元软件。有或没有控制约束问题的数值实验证实了这种方法的适用性。

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《Optimal Control Applications and Methods》 |2014年第4期|共12页
作者
B. Karasozen; F. Yilmaz;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Optimal control; Burgers equation; Finite elements; Biharmonic equation; COMSOL Multiphysics;

机译：最优控制Burgers方程有限元双谐方程COMSOL Multiphysics;

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专利

1. Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization [J] . B. Karasozen, F. Yilmaz Optimal Control Applications and Methods . 2014,第4期

机译：时空离散的非定常Burgers方程的最优边界控制
2. Necessary optimality conditions for optimal distributed and (Neumann) boundary control of Burgers equation [J] . Bing Sun Nonlinear Analysis : Modelling and Control . 2015,第1期

机译：Burgers方程的最优分布和（Neumann）边界控制的必要最优性条件
3. An all-at-once approach for the optimal control of the unsteady Burgers equation [J] . Fikriye Y?lmaz, Bülent Karas?zen Journal of Computational and Applied Mathematics . 2014,第Pta2期

机译：非定常Burgers方程的最优控制的一次全部方法
4. Unsteady Adjoint Method for the Optimal Control of Advection and Burger's Equations using High-Order Spectral Difference Method [C] . K. Ou, A. Jameson AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition . 2011

机译：非平稳伴随方法的高阶谱差分法对流和Burgers方程的最优控制
5. Sub-optimal control of unsteady boundary layer separation and optimal control of Saltzman-Lorenz model. [D] . Sardesai, Chetan R. 2010

机译：非稳定边界层分离的次优控制和Saltzman-Lorenz模型的最优控制。
6. On Boundary Stimulation and Optimal Boundary Control of the Bidomain Equations [O] . Chamakuri Nagaiah, Karl Kunisch, Gernot Plank -1

机译：双域方程的边界刺激和最优边界控制
7. Unsteady adjoint method for the optimal control of advection and Burgers’ equations using high order spectral difference method [O] . K. Ou, A. Jameson 2011

机译：用高阶谱差法优化控制平流和Burgers方程的非定常伴随方法
8. Optimal active control for Burgers equations [R] . Ikeda, Yutaka 1994

机译：Burgers方程的最优主动控制

Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

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