Finite element methods for optimal control problems governed by integral equations and integro-differential equations

被引：35

作者：

Brunner, H ^{[1
]}

Yan, NN

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2005年 / 101卷 / 01期

关键词：

D O I：

10.1007/s00211-005-0608-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze finite-element Galerkin discretizations for a class of constrained optimal control problems that are governed by Fredholm integral or integro-differential equations. The analysis focuses on the derivation of a priori error estimates and a posteriori error estimators for the approximation schemes.

引用

页码：1 / 27

页数：27

共 24 条

[1] A posteriori error estimation in finite element analysis [J].

Ainsworth, M ;

Oden, JT .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 142 (1-2) :1-88

[2] ON THE APPROXIMATION OF INFINITE OPTIMIZATION PROBLEMS WITH AN APPLICATION TO OPTIMAL-CONTROL PROBLEMS [J].

ALT, W .

APPLIED MATHEMATICS AND OPTIMIZATION, 1984, 12 (01) :15-27

[3]

Atkinson KE., 1996, NUMERICAL SOLUTION I

[4] A FEEDBACK FINITE-ELEMENT METHOD WITH A POSTERIORI ERROR ESTIMATION .1. THE FINITE-ELEMENT METHOD AND SOME BASIC PROPERTIES OF THE A POSTERIORI ERROR ESTIMATOR [J].

BABUSKA, I ;

MILLER, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 61 (01) :1-40

[5]

Babuska I., 1972, MATH FDN FINITE ELEM

[6] Adaptive finite element methods for optimal control of partial differential equations: Basic concept [J].

Becker, R ;

Kapp, H ;

Rannacher, R .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (01) :113-132

[7]

CIARLET P. G., 1978, The Finite Element Method for Elliptic Problems

[8] Multigrid optimization in applications [J].

Dreyer, T ;

Maar, B ;

Schulz, V .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 120 (1-2) :67-84

[9] APPROXIMATION OF A CLASS OF OPTIMAL CONTROL PROBLEMS WITH ORDER OF CONVERGENCE ESTIMATES [J].

FALK, RS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (01) :28-47

[10] APPROXIMATION OF AN ELLIPTIC CONTROL PROBLEM BY THE FINITE-ELEMENT METHOD [J].

FRENCH, DA ;

KING, JT .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1991, 12 (3-4) :299-314

← 1 2 3 →