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[31]
Sandig A-M., 1987, TEUBNER TEXTE MATH, V100
Optimal control under reduced regularity
被引：4
作者：
Apel, Thomas
[1
]
Winkler, Gunter
[1
]
机构：
[1] Univ Bundeswehr Munchen, Fak Math & Bauinformat, D-85579 Neubiberg, Germany
关键词：
Linear quadratic optimal control problem;
PDE constraints;
Finite element method;
Mesh grading;
Postprocessing;
A-priori error estimates;
Superconvergence;
ELLIPTIC CONTROL-PROBLEMS;
BOUNDARY-VALUE-PROBLEMS;
NUMERICAL APPROXIMATION;
CONTROL CONSTRAINTS;
MESH REFINEMENT;
DISCRETIZATION;
DOMAINS;
EDGES;
D O I：
10.1016/j.apnum.2008.12.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a linear quadratic optimal control problem with elliptic PDE constraints in three-dimensional domains with singularities. It is proved that the optimal control can be calculated by the finite element method at a rate of O(h(2)) provided that the mesh is sufficiently graded. The approximation of this control is computed from a piecewise constant approximation followed by a postprocessing step. Although the results are similar to the two-dimensional case, the proofs changed significantly. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：2050 / 2064
页数：15
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