Results 31 to 40 of about 121,962 (260)
Computation of Shape Derivatives in Electromagnetic Shaping by Algorithmic Differentiation
Shape optimization based on analytical shape derivatives is meanwhile a well-established tool in engineering applications. For an appropriate discretization of the underlying problem, the technique of algorithmic differentiation can also be used to provide a discrete analogue of the analytic shape derivative.
Eppler, Karsten +3 more
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Variational approach to shape derivatives [PDF]
Summary: A general framework for calculating shape derivatives for optimization problems with partial differential equations as constraints is presented. The proposed technique allows to obtain the shape derivative of the cost without the necessity to involve the shape derivative of the state variable. In fact, the state variable is only required to be
Ito, Kazufumi +2 more
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A Shape Derivative Approach to Domain Simplification
The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under control. This enables faster and more efficient simulations, without sacrificing accuracy. More precisely,
Jochen Hinz +3 more
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ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
wiley +1 more source
Fréchet derivative for light-like Wilson loops
We address the equations of motion for the light-like QCD Wilson exponentials defined in the generalized loop space. We attribute an important class of the infinitesimal shape variations of the rectangular light-like Wilson loops to the Fréchet ...
I.O. Cherednikov, T. Mertens
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ABSTRACT Background Central nervous system (CNS) neuroblastoma, FOXR2‐activated, is a recently recognized entity in the WHO CNS5 classification, defined by activation of the FOXR2 transcription factor and unique histopathological features. This review synthesizes available literature and pooled clinical data, providing insight into demographics ...
Sudarshawn Damodharan +1 more
wiley +1 more source
Minimization of peak stresses with the shape derivative
This article is concerned with the minimization of peak stresses occurring in linear elasticity. We propose to minimize the maximal von Mises stress of the elastic body. This leads to a non-smooth shape functional. We derive the shape derivative and associate it with the Clarke sub-differential.
Phillip Baumann, Kevin Sturm
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ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi +10 more
wiley +1 more source
By considering the p-laplacian operator, we show the existence of a solution to the exterior (resp interior) free boundary problem with non constant Bernoulli free boundary condition. In the second part of this article, we study the existence
Idrissa Ly, Diaraf Seck
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Topological optimization and inverse problems
The topological derivative of an arbitrary shape functional is introduced in [29] for 2D elasticity. The optimality conditions for general shape optimization problems are established in [30] using the shape variations including boundary and topology ...
Lidia Jackowska-Strumiłło +2 more
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