SYMMETRIC ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN APPROXIMATIONS FOR AN OPTIMAL CONTROL PROBLEM ASSOCIATED TO SEMILINEAR PARABOLIC PDE'S

被引：10
|
作者：
Chrysafinos, Konstantinos [1 ]
Karatzas, Efthimios N. [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Sch Appl Math & Phys Sci, Athens 15780, Greece
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2012年 / 17卷 / 05期
关键词：
Symmetric error estimates; discontinuous Galerkin; distributed control; semi-linear parabolic PDE's; FINITE-ELEMENT METHODS; BOUNDARY CONTROL-PROBLEMS; NUMERICAL APPROXIMATION; STOKES; DISCRETIZATION; OPTIMIZATION; CONVERGENCE;
D O I：
10.3934/dcdsb.2012.17.1473
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discontinuous Galerkin finite element method for an optimal control problem having states constrained to semilinear parabolic PDE's is examined. The schemes under consideration are discontinuous in time but conforming in space. It is shown that under suitable assumptions, the error estimates of the corresponding optimality system are of the same order to the standard linear (uncontrolled) parabolic problem. These estimates have symmetric structure and are also applicable for higher order elements.
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页码：1473 / 1506
页数：34
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