Convergence results for a nonlinear parabolic control problem

被引：5

作者：

Arnautu, V

Hömberg, D

Sokolowski, J

机构：

[1] Univ Al I Cuza, Fac Math, RO-6600 Iasi, Romania

[2] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

[3] Univ Nancy 1, Inst Elie Cartan, Math Lab, F-54506 Vandoeuvre Nancy, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1999年 / 20卷 / 9-10期

关键词：

parabolic control problem; phase transitions; finite-element approximation;

D O I：

10.1080/01630569908816925

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a general control problem for a class of nonlinear parabolic evolution equations. Applications are related to solid-solid and solid-liquid phase transitions. We prove compactness of the solution operator, existence of optimal controls and show convergence of the finite-dimensional approximate control problem to the original one.

引用

页码：805 / 824

页数：20

共 13 条

[1] APPROXIMATION OF OPTIMAL DISTRIBUTED CONTROL-PROBLEMS GOVERNED BY VARIATIONAL-INEQUALITIES [J].

ARNAUTU, V .

NUMERISCHE MATHEMATIK, 1982, 38 (03) :393-416

[2]

ARNAUTU V, UNPUB NUMERICAL SIMU

[3]

ARNAUTU V, 1998, AN ST U OVIDIUS CONS, V6, P1

[4]

BREZIS H, 1971, CONTRIBUTIONS NONLIN

[5]

FUHRMANN J, IN PRESS INT J NUMER

[6]

GLOWINSKI R, 1976, ANAL NUMERIQUE INEQU, V1

[7]

HOMBERG D, 1998, ADV MATH SCI APPL, V8, P911

[8]

Mazhukin V. I., 1994, Surveys on Mathematics for Industry, V4, P85

[9]

Mosco U., 1971, CONSTRUCTIVE ASPECTS, VII, P497

[10] EXISTENCE OF A SOLUTION TO THE STEFAN PROBLEM WITH JOULE HEATING [J].

SHI, P ;

SHILLOR, M ;

XU, XS .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 105 (02) :239-263

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