Are some optimal shape problems convex?
Kawohl, Bernd, Lang, Jan (1997)
Journal of Convex Analysis
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Kawohl, Bernd, Lang, Jan (1997)
Journal of Convex Analysis
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Jan Sokołowski, Tomasz Lewiński (2005)
Control and Cybernetics
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Pajerová, Nikola, Linkeová, Ivana
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Shape analyses and similarity measuring is a very often solved problem in computer graphics. The shape distribution approach based on shape functions is frequently used for this determination. The experience from a comparison of ball-bar standard triangular meshes was used to match hip bones triangular meshes. The aim is to find relation between similarity measures obtained by shape distributions approach.
Leszek Gasiński (2000)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is shown.
Antoine Henrot, Grégory Villemin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we are interested in finding the optimal shape of a magnet. The criterion to maximize is the jump of the electromagnetic field between two different configurations. We prove existence of an optimal shape into a natural class of domains. We introduce a quasi-Newton type algorithm which moves the boundary. This method is very efficient to improve an initial shape. We give some numerical results.
Bijan Mohammadi (2010)
Control and Cybernetics
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Andrzej Myśliński (2006)
Control and Cybernetics
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(2005)
Control and Cybernetics
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Peter Nestler, Werner H. Schmidt (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the...