GLOBAL SOLUTION FOR A DOMAIN OPTIMIZATION PROBLEM OF A PARABOLIC SYSTEM BY USE OF MEASURES

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FAKHARZADEH JAHROMI A.; ROSTAMI F.

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Paper Information

Journal: SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE Year:2007 | Volume:NEW SERIES | Issue:16 (SECTION A) Page(s): 35-44

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Title

GLOBAL SOLUTION FOR A DOMAIN OPTIMIZATION PROBLEM OF A PARABOLIC SYSTEM BY USE OF MEASURES

Author(s)

FAKHARZADEH JAHROMI A. | ROSTAMI F. | Issue Writer Certificate

Keywords

PARABOLIC EQUATIONQ3

RADON MEAUSUREQ3

OPTIMAL SHAPE DESIGNQ3

EMBADING METHODQ3

Abstract

The aim of this article is to solve the OPTIMAL SHAPE DESIGN problem governed by a parabolic control system, defined according to a pair of geometric elements, the domain and its boundary, by embedding method. First, the classical form of the PARABOLIC EQUATION together with the boundary and the initial conditions are presented by integral equalities. Then, in a new formulation, the problem is shown as a minimization of a function on a set of positive Radon measures. By applying the suitable approximations and discretization on the appropriate spaces, this problem is also transferred to a finite linear programming one. In this manner, the solution can determine the optimal domain and optimal control at the same time. Based on this method, some numerical examples are also presented.

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APA: Copy

FAKHARZADEH JAHROMI, A., & ROSTAMI, F.. (2007). GLOBAL SOLUTION FOR A DOMAIN OPTIMIZATION PROBLEM OF A PARABOLIC SYSTEM BY USE OF MEASURES. SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE, NEW SERIES(16 (SECTION A)), 35-44. SID. https://sid.ir/paper/57999/en

Vancouver: Copy

FAKHARZADEH JAHROMI A., ROSTAMI F.. GLOBAL SOLUTION FOR A DOMAIN OPTIMIZATION PROBLEM OF A PARABOLIC SYSTEM BY USE OF MEASURES. SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE[Internet]. 2007;NEW SERIES(16 (SECTION A)):35-44. Available from: https://sid.ir/paper/57999/en

IEEE: Copy

A. FAKHARZADEH JAHROMI, and F. ROSTAMI, “GLOBAL SOLUTION FOR A DOMAIN OPTIMIZATION PROBLEM OF A PARABOLIC SYSTEM BY USE OF MEASURES,” SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE, vol. NEW SERIES, no. 16 (SECTION A), pp. 35–44, 2007, [Online]. Available: https://sid.ir/paper/57999/en

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