Title : ( Measure theoretical approach for optimal shape design of a nozzel )
Authors: Mohammad Hadi Farahi , - - , - - , Ali Vahidian Kamyad ,
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Abstract
Abstract. In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first transformed to a new shape-measure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite-dimensional linear programming problem. AMS Mathematics Subject Classification : 49M30, 49Q10, 93C95. .
Keywords
, Key words and phrases : Optimal shape, nozzle problem, optimal control, approximation theory, measure theory, linear programming
@article{paperid:1009686,
author = {Farahi, Mohammad Hadi and -, - and -, - and Vahidian Kamyad, Ali},
title = {Measure theoretical approach for optimal shape design of a nozzel},
journal = {Applied Mathematics and Computation},
year = {2005},
month = {June},
issn = {0096-3003},
keywords = {Key words and phrases : Optimal shape; nozzle problem; optimal control;
approximation theory; measure theory; linear programming},
}
%0 Journal Article
%T Measure theoretical approach for optimal shape design of a nozzel
%A Farahi, Mohammad Hadi
%A -, -
%A -, -
%A Vahidian Kamyad, Ali
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2005
