Transformation to a fixed domain in LP modelling for a class of optimal shape design problems

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 328

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شناسه ملی سند علمی:

JR_IJNAO-9-1_001

تاریخ نمایه سازی: 3 اسفند 1398

چکیده مقاله:

A class of optimal shape design problems is studied in this paper. The boundary shape of a domain is determined such that the solution of the underlying partial differential equation matches, as well as possible, a given desired state. In the original optimal shape design problem, the variable domain is parameterized by a class of functions in such a way that the optir design problem is changed to an optimal control problem on a fixed domain. Then, the resulting distributed control problem is embedded in a measure theoretical form, in fact, an infinite-dimensional linear programming problem. The optimal measure representing the optimal shape is approximated by a solution of a finite-dimensional linear programming problem. The method is evaluated via a numerical example

نویسندگان

h.h mehne

Aerospace Research Institute, Tehran, ۱۴۶۶۵-۸۳۴, Iran

m.h farahi

Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran