OPTIMAL SHAPE DESIGN FOR SYSTEMS GOVERNED BY VARIATIONAL-INEQUALITIES, .2. EXISTENCE THEORY FOR THE EVOLUTION CASE

被引：9

作者：

LIU, WB

RUBIO, JE

机构：

[1] UNIV LEEDS,SCH MATH,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

[2] CENT S UNIV TECHNOL,DEPT MATH,CHANGSHA,PEOPLES R CHINA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1991年 / 69卷 / 02期

关键词：

OPTIMAL SHAPE DESIGN; VARIATIONAL CONVERGENCE THEORY; EVOLUTION VARIATIONAL INEQUALITIES; EXISTENCE THEOREMS;

D O I：

10.1007/BF00940650

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Some general existence results for optimal shape design problems for systems governed by parabolic variational inequalities are established by the mapping method and variational convergence theory. Then, an existence theorem is given for the optimal shape for an electrochemical machining problem, in which the cost functional is not lower semicontinuous, by extending the general results to this case. Furthermore, this problem is approximated by a set of optimal shape design problems which have more smooth cost functionals and are easier to handle computationally.

引用

页码：373 / 396

页数：24

共 14 条

[1]

Attouch H., 1984, VARIATIONAL CONVERGE

[2]

Baiocchi C., 1984, VARIATIONAL QUASIVAR

[3]

Barbu V., 1984, OPTIMAL CONTROL VARI

[4]

Chenais D., 1977, ANN LINST 4, V27, P201

[5]

ELLIOTT CM, 1980, J I MATH APPL, V25, P121

[6]

Friedman A., 1982, VARIATIONAL PRINCIPL

[7]

Lions J. L., 1976, NEW DEV DIFFERENTIAL, P1

[8]

Lions J. L., 2012, NONHOMOGENEOUS BOUND, V1

[9]

LIONS JL, 1969, QUELQUES METHODES RE

[10] OPTIMAL SHAPE DESIGN FOR SYSTEMS GOVERNED BY VARIATIONAL-INEQUALITIES, .1. EXISTENCE THEORY FOR THE ELLIPTIC CASE [J].

LIU, WB ;

RUBIO, JE .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 69 (02) :351-371

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