Adaptive characteristic finite element approximation of convection-diffusion optimal control problems

被引：15
作者：
Fu, Hongfei [1 ]
Rui, Hongxing [2 ]
机构：
[1] China Univ Petr, Dept Computat & Appl Math, Qingdao 266580, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
a posteriori error estimates; characteristic finite element; convectiondiffusion equations; quadratic optimal control problems; A-PRIORI; GALERKIN METHOD;
D O I：
10.1002/num.21741
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a characteristic finite element approximation of quadratic optimal control problems governed by linear convectiondiffusion equations is given. We derive some a posteriori error estimates for both the control and the state approximations, where the control variable is constrained by pointwise inequality. The derived error estimators are then used as an error indicator to guide the mesh refinement. In this sense, they are very important in developing adaptive finite element algorithm for the optimal control problems. Finally, a numerical example is given to validate the efficiency and reliability of the theoretical results. (c) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013
引用
收藏
页码：979 / 998
页数：20
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