Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.315-328
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
MEASURE THEORETICAL APPROACH FOR OPTIMAL SHAPE DESIGN OF A NOZZLE
- FARAHI M. H. (Dept. of Mathematics, Ferdowsi University of Mashhad) ;
- BORZABADI A. H. (Dept. of Mathematics, Damghan University of Basic Sciences) ;
- MEHNE H. H. (Aerospace Research Inst.) ;
- KAMYAD A. V. (Dept. of Mathematics, Ferdowsi University of Mashhad)
- Published : 2005.01.01
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.
Keywords
- Optimal shape;
- nozzle problem;
- optimal control;
- approximation theory;
- measure theory;
- linear programming