Results 1 to 10 of about 121,962 (260)
On the Topological Derivative in Shape Optimization [PDF]
SIAM Journal on Control and Optimization, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Sokolowski, Antoni Źochowski
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Shape Derivative of Drag Functional [PDF]
SIAM Journal on Control and Optimization, 2010 In this paper, compressible, stationary Navier-Stokes equations are considered. The model is well-posed, and there exist weak solutions in bounded domains, subject to inhomogeneous boundary conditions. The shape sensitivity analysis is performed for Navier-Stokes boundary value problems in the framework of small perturbations of the so-called ...
Pavel I. Plotnikov, Jan Sokolowski
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Mathematics, 2014 A shape optimization method is used to study the exterior Bernoulli free boundaryproblem. We minimize the Kohn–Vogelius-type cost functional over a class of admissibledomains subject to two boundary value problems. The first-order shape derivative of the
Jerico B. Bacani, Gunther Peichl
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On a Shape Derivative Formula in the Brunn--Minkowski Theory [PDF]
SIAM Journal on Control and Optimization, 2017 Given a function \(f\) in \(\mathbb R^n\), a functional \(J\) can be defined in the class \(\mathcal{O}\) of open, bounded, convex subsets of \(\mathbb{R}^n\) by the formula \[ J(\Omega)=\int_\Omega f\,dx. \] The shape derivative formulas \[ \lim_{\varepsilon\to 0^+} {J((1-\varepsilon)\,\Omega_0+\varepsilon\, \Omega)-J(\Omega_0) \over \varepsilon ...
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Coupling Shape Optimization and Topological Derivative for Maxwell Equations
Abstract and Applied Analysis, 2022 The paper deals with a coupling algorithm using shape and topological derivatives of a given cost functional and a problem governed by nonstationary Maxwell’s equations in 3D. To establish the shape and topological derivatives, an adjoint method is used.
SY Alassane
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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
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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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