Results 11 to 20 of about 121,962 (260)
On the Shape Differentiability of Objectives: A Lagrangian Approach and the Brinkman Problem
Axioms, 2018 This paper establishes the shape derivative of geometry-dependent objective functions for use in constrained variational problems. Using a Lagrangian approach, our differentiablity result is based on the theorem of Delfour⁻Zolésio on ...
José Rodrigo González Granada +2 more
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FEATURES OF DERIVATIVE CONTINUITY IN SHAPE [PDF]
International Journal of Pattern Recognition and Artificial Intelligence, 1999 Derivative continuity is a distributed invariant relationship between parts of flowing shapes. The original techniques presented here were developed for making the behavioral dynamics of complex processes more recognizable, but are equally applicable to assisting in the recognition of shapes in images.
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Shape derivatives for minima of integral functionals [PDF]
Mathematical Programming, 2013 For $Ω$ varying among open bounded sets in ${\mathbb R} ^n$, we consider shape functionals $J (Ω)$ defined as the infimum over a Sobolev space of an integral energy of the kind $\int _Ω[ f (\nabla u) + g (u) ]$, under Dirichlet or Neumann conditions on $\partial Ω$.
G. Bouchitte' +2 more
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An eigenvalue optimization problem for Dirichlet-Laplacian with a drift [PDF]
مدلسازی پیشرفته ریاضیIn this paper, we prove a monotonicity result related to the principal eigenvalue for Dirichlet-Laplacian with a drift operator in a punctured ball.
محسن زیوری رضاپور
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A Variational Method for Second Order Shape Derivatives [PDF]
SIAM Journal on Control and Optimization, 2016 Submitted paper.
Bouchitte G., Fragala I., Lucardesi I.
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TOPOLOGICAL DERIVATIVE - THEORY AND APPLICATIONS
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2015 The paper is devoted to present some mathematical aspects of the topological derivative and its applications in different fields of sciences such as shape optimization and inverse problems.
Katarzyna Szulc
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TOPOLOGICAL DERIVATIVE METHOD FOR ELECTRICAL IMPEDANCE TOMOGRAPHY PROBLEMS
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2016 In the field of shape and topology optimization the new concept is the topological derivative of a given shape functional. The asymptotic analysis is applied in order to determine the topological derivative of shape functionals for elliptic problems. The
Andrey Ferreira +2 more
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USING ELECTRICAL IMPEDANCE TOMOGRAPHY IN LINEAR ARRAYS OF MEASUREMENT
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2017 The article presents an application to the topology optimization in electrical impedance tomography using the level set method. The level set function is based on shape and topology optimization for areas with partly continuous conductivities. The finite
Tomasz Rymarczyk
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Shape derivative of the Cheeger constant [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2014 Summary: This paper deals with the existence of the shape derivative of the Cheeger constant \({h}_{1}({\Omega})\) of a bounded domain {\(\Omega\)}. We prove that if {\(\Omega\)} admits a unique Cheeger set, then the shape derivative of \({h}_{1}({{\Omega}})\) exists, and we provide an explicit formula. A counter-example shows that the shape derivative
Parini, Enea, Saintier, Nicolas
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Algorithms, 2010 We compare univariate L1 interpolating splines calculated on 5-point windows, on 7-point windows and on global data sets using four different spline functionals, namely, ones based on the second derivative, the first derivative, the function value and ...
Shu-Cherng Fang +3 more
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