Applied Mathematics and Computation, ( ISI ), Volume (168), No (2), Year (2005-7) , Pages (1258-1272)

Title : Slot nozzle design with specified pressure in a given subregion by using embedding method ( Slot nozzle design with specified pressure in a given subregion by using embedding method )

Authors: - - , Mohammad Hadi Farahi , Javad Abolfazli Esfahani ,

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Abstract

Abstract In this paper we study a shape optimization problem connected with controlled pressure in a subregion of a 2D slot nozzle. Feasible shapes for this problem are characterized only with upper walls. This enables us to seek for the optimum in a class of functions and their derivatives instead of a class of shapes. The shape optimization problem can be written as an optimal control problem, then the resulting distributed control problem is expressed in a measure theoretical form, in fact an infinite dimensional linear programming problem. The optimal measure representing optimal shape is approximated by the solution of a finite dimensional linear programming problem. A brief sensitivity analysis on model parameters is given.  2004 Elsevier Inc. All rights reserved.

Keywords

Keywords: Linear programming; Optimal shape design; Measure theory
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@article{paperid:202985,
author = { -, - and Farahi, Mohammad Hadi and Abolfazli Esfahani, Javad},
title = {Slot nozzle design with specified pressure in a given subregion by using embedding method},
journal = {Applied Mathematics and Computation},
year = {2005},
volume = {168},
number = {2},
month = {July},
issn = {0096-3003},
pages = {1258--1272},
numpages = {14},
keywords = {Keywords: Linear programming; Optimal shape design; Measure theory},
}

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%0 Journal Article
%T Slot nozzle design with specified pressure in a given subregion by using embedding method
%A -, -
%A Farahi, Mohammad Hadi
%A Abolfazli Esfahani, Javad
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2005

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