Publication:
Progress in global optimization and shape design

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http://link.springer.com/chapter/10.1007/978-3-540-79409-7_20#page-1
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Publication Date
2008
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Springer
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Abstract
In this paper, we reformulate global optimization problems in terms of boundary value problems. This allows us to introduce a new class of optimization algorithms. Indeed, many optimization methods can be seen as discretizations of initial value problems for differential equations or systems of differential equations. We apply a particular algorithm included in the former class to the shape optimization of coastal structures
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Investigación operativa (Matemáticas)
Unesco subjects
1207 Investigación Operativa
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B. Mohammadi and J-H. Saiac. Pratique de la simulation numérique. Dunod, 2002. H. Attouch and R. Cominetti. A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations, 128(2):519–540, 1996. B. Mohammadi and O. Pironneau. Applied Shape Optimization for Fluids. Oxford University Press, 2001. A. Jameson, F. Austin, M. J. Rossi, W. Van Nostrand, and G. Knowles. Static shape control for adaptive wings. AIAA Journal, 32(9):1895–1901, 1994. F. Verhulst. Nonlinear differential equations and dynamical systems. SpringerVerlag., 1990. D. Colton and R. Kress. Inverse acoustic and electromagnetic scattering theory. Springer-Verlag, 1992. D. Isebe, P. Azerad, B. Ivorra, B. Mohammadi, and F. Bouchette. Optimal shape design of coastal structures minimizing coastal erosion. In Proceedings of workshop on inverse problems, CIRM, Marseille, 2005. J. T. Kirby and R. A. Dalrymple. A parabolic equation for the combined refraction diffraction of stokes waves by mildly varying topography. J. Fluid. Mechanics., 136:443–466, 1983. J. T. Kirby and R. A. Dalrymple. Combined refraction/diffraction model ref/dif 1, User’s manual. Coastal and Offshore Engineering and Research, Inc., Newark, DE., January, 1985. (Revised June, 1986). B. Ivorra, B. Mohammadi, D. E. Santiago, and J. G. Hertzog. Semi-deterministic and genetic algorithms for global optimization of microfluidic protein folding devices. Inte
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https://hdl.handle.net/20.500.14352/53414
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