Results 21 to 30 of about 6,713,628 (313)
On a shape derivative formula for star-shaped domains using Minkowski deformation
AIMS Mathematics, 2023 We consider the shape derivative formula for a volume cost functional studied in previous papers where we used the Minkowski deformation and support functions in the convex setting.
A. Boulkhemair +2 more
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Applied Mathematics and Optimization, 2020 Within the framework of Kirchhoff–Love plate theory, we analyze a variational model for elastic plates with rigid inclusions and interfacial cracks. The main feature of the model is a fully coupled nonpenetration condition that involves both the normal ...
E. Rudoy, V. Shcherbakov
semanticscholar +1 more source
The Q$Q$‐shaped derived category of a ring
Journal of the London Mathematical Society, 2022 For any ring $A$ and a small, preadditive, Hom-finite, and locally bounded category $Q$ that has a Serre functor and satisfies the (strong) retraction property, we show that the category of additive functors from $Q$ to the category of (left) $A$-modules has a projective and an injective model structure.
Holm, Henrik, Jørgensen, Peter
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Reconstruction of time-shifted hemodynamic response
Scientific Reports, 2022 Regression of voxel time course onto expected response is a standard procedure in functional magnetic resonance imaging that relies on exact onset time and shape of superimposed hemodynamic response functions.
Bärbel Herrnberger
doaj +1 more source
Nonlinear Analysis, 2022 It is well known that integer-order neural networks with diffusion have rich spatial and temporal dynamical behaviors, including Turing pattern and Hopf bifurcation.
Jiazhe Lin, Jiapeng Li, Rui Xu
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An Optimal Shaped Sensor Array Derivation
Micromachines, 2023 In Structural Health Monitoring (SHM) applications, the Direction of Arrival (DoA) estimation of Guided Waves (GW) on sensor arrays is often used as a fundamental means to locate Acoustic Sources (AS) generated by damages growth or undesired impacts in thin-wall structures (e.g., plates or shells).
Marco Dibiase, Luca De Marchi
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TOPOLOGICAL ALGORITHMS TO SOLVE INVERSE PROBLEM IN ELECTRICAL TOMOGRAPHY
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2017 In this paper, there were investigated topological algorithms to solve the inverse problem in electrical tomography. The level set method, material derivative, shape derivative and topological derivative are based on shape and topology optimization ...
Tomasz Rymarczyk
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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 $\partial Ω$.
Fragalà, Ilaria +2 more
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