Analysis of some identification problems for the reaction-diffusion-convection equation

International Conference on Mechanical Engineering, Automation and Control Systems 2015

机械制造;无线电电子学;计算机科学

Alekseev, G.V.^1,2 ; Mashkov, D.V.^3 ; Yashenko, E.N.^3

Institute of Applied Mathematics FEB RAS, Vladivostok

690041, Russia^1

Far Eastern Federal University, 8, Sukhanova st., Vladivostok

690950, Russia^2

Far Eastern State Technical Fisheries University, 52B, Lugovaya st., Vladivostok

690087, Russia^3

关键词: Dirichlet boundary condition;    Identification problem;    Necessary optimality condition;    Numerical algorithms;    Optimality system;    Optimization method;    Reaction-diffusion-convection;    Reaction-diffusion-convection equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/124/1/012037/pdf
DOI  :  10.1088/1757-899X/124/1/012037

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Identification problems for a linear stationary reaction-diffusion-convection model, considered in the bounded domain under Dirichlet boundary condition, are studied. Using an optimization method these problems are reduced to respective control problems. The reaction coefficient and the volume density of substance source play the role of controls in this control problem. The solvability of the direct and control problems is proved, the optimality system, which describes the necessary optimality conditions, is derived and the numerical algorithm is developed.