FUNCTIONAL AND NUMERICAL-SOLUTION OF A CONTROL PROBLEM ORIGINATING FROM HEAT-TRANSFER

被引：15
|
作者：
BURGER, J [1 ]
POGU, M [1 ]
机构：
[1] ECOLE NATL SUPER MECAN,MATH SERV,NANTES,FRANCE
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1991年 / 68卷 / 01期
关键词：
NONLINEAR PARABOLIC EQUATIONS; FUNCTIONAL ANALYSIS; EXISTENCE; UNIQUENESS; CONTROL PROBLEMS; NEWTONS METHOD;
D O I：
10.1007/BF00939935
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：
The solution of a nonlinear parabolic equation is studied from both the functional and the numerical points of view. Existence, uniqueness, and stability results are given. A boundary-control problem is then presented. Expressions of the gradient and the Hessian of the cost function are given with some details, and the Newton method is compared with a gradient method and the Fletcher-Reeves method. Numerical results are given. The paper concludes with a discussion of the advantages of the Newton method as applied to a control problem.
引用
收藏
页码：49 / 73
页数：25
相关论文
共 50 条
  • [41] NUMERICAL-SOLUTION METHOD FOR PREDICTION OF HEAT-TRANSFER IN TUBE BUNDLES OF LARGE-SIZE INTERMEDIATE HEAT-EXCHANGERS IN FBR PLANTS
    YAMAKAWA, M
    YAMASHITA, H
    SUZUOKI, A
    JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY, 1981, 18 (03) : 233 - 235
  • [42] NUMERICAL-SOLUTION OF CONVECTIVE HEAT-TRANSFER FOR REVERSE TRANSITION IN THE BEND TUBE BY A LOW-REYNOLDS-NUMBER TURBULENT MODEL
    AKIYAMA, M
    MURAKOSHI, T
    SUGIYAMA, H
    CHENG, KC
    NISHIWAKI, I
    JSME INTERNATIONAL JOURNAL SERIES II-FLUIDS ENGINEERING HEAT TRANSFER POWER COMBUSTION THERMOPHYSICAL PROPERTIES, 1988, 31 (02): : 289 - 298
  • [43] NUMERICAL-SOLUTION OF THE PROBLEM OF CUBIC-CRYSTAL GROWTH FROM SOLUTION
    OVRUTSKY, AM
    KRISTALLOGRAFIYA, 1978, 24 (05): : 1033 - 1036
  • [44] NUMERICAL-SOLUTION TO A STOCHASTIC INTERCEPTION PROBLEM
    REUTER, GW
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1994, 10 (11): : 907 - 911
  • [45] NUMERICAL-SOLUTION FOR A CRUCIFORM CRACK PROBLEM
    CHEN, YZ
    INTERNATIONAL JOURNAL OF FRACTURE, 1993, 63 (02) : R31 - R34
  • [46] NUMERICAL-SOLUTION OF THE REVERSE STEPHAN PROBLEM
    ZHOVNIR, GI
    KLETSKII, SV
    KRISTALLOGRAFIYA, 1988, 33 (05): : 1271 - 1273
  • [47] NUMERICAL-SOLUTION OF A NONLINEAR FLOW PROBLEM
    THOMPSON, RJ
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A210 - A210
  • [48] NUMERICAL-SOLUTION OF THE MAGNETIC RELIEF PROBLEM
    JONCA, K
    VOGEL, CR
    TRANSPORT THEORY, INVARIANT IMBEDDING, AND INTEGRAL EQUATIONS: PROCEEDINGS IN HONOR OF G M WINGS 65TH BIRTHDAY, 1989, 115 : 379 - 391
  • [49] NUMERICAL-SOLUTION OF A BUBBLE CAVITATION PROBLEM
    LASTMAN, GJ
    WENTZELL, RA
    HINDMARSH, AC
    JOURNAL OF COMPUTATIONAL PHYSICS, 1978, 28 (01) : 56 - 64
  • [50] NUMERICAL-SOLUTION OF REDUCTION PROBLEM IN SPECTROSCOPY
    MYASNIKOVA, NP
    KOVALEV, IF
    MOLODENKOVA, ID
    OPTIKA I SPEKTROSKOPIYA, 1982, 53 (04): : 752 - 755
12345