Optimal control of heat source in a heat conductivity problem

被引：4

作者：

Subasi, M ^{[1
]}

机构：

[1] Ataturk Univ, Fen Edebiyat Fak, Matemat Bolumu, TR-25240 Erzurum, Turkey

来源：

OPTIMIZATION METHODS & SOFTWARE | 2002年 / 17卷 / 02期

关键词：

inverse heat conductivity; method of projection of gradient;

D O I：

10.1080/1055678021000012444

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An optimal control problem governed by the heat source in a heat conductivity problem is presented. An estimate for the weak solution of heat conduction problem is proposed in the space L-2, and the problem is numerically implemented using the method of projection of gradient. Sensible and successful results are obtained on a test problem.

引用

页码：239 / 250

页数：12

共 11 条

[1]

Amidi O., 1990, CMURITR9017

[2]

Bourgeois C, 2001, NUMER MATH, V87, P407, DOI 10.1007/s002110000191

[3]

GOMEZORTEGA J, 1994, THESIS U SEVILLA

[4]

GOMEZORTEGA J, 1996, CONTROL ENG PRACT, V4, P1669

[5] Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces [J].

Kuwae, K ;

Machigashira, Y ;

Shioya, T .

MATHEMATISCHE ZEITSCHRIFT, 2001, 238 (02) :269-316

[6] Galerkin and weighted Galerkin methods for a forward-backward heat equation [J].

Lu, H .

NUMERISCHE MATHEMATIK, 1997, 75 (03) :339-356

[7]

OLLERO A, 1991, P IEEE 5 INT C ADV R, P1081

[8] Whole time-domain approach to the inverse natural convection problem [J].

Prudhomme, M ;

Nguyen, TH .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1997, 32 (02) :169-186

[9]

Rup K, 1996, HEAT MASS TRANSFER, V31, P323, DOI 10.1007/BF02184045

[10] An estimate for the solution of a perturbed nonlinear quantum-mechanical problem [J].

Subasi, M .

CHAOS SOLITONS & FRACTALS, 2002, 14 (03) :397-402

← 1 2 →