Results 61 to 70 of about 12,528,126 (212)

From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications

Laser &Photonics Reviews, EarlyView.
Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu, Lyudmila V. Goncharova, Eric Johlin   +2 more
wiley   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

Turbomachinery aerodynamic and aeromechanic design optimization using the adjoint method [PDF]

, 2008
The thesis documents the investigation of the application of the adjoint method to turbomachinery blading design optimization, with emphasis on blading aerodynamic design optimization in a multi-bladerow environment and concurrent blading aerodynamic and
Wang, Dingxi
core  

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac, Jelena Jankov Pavlović, Petar Kunštek   +2 more
wiley   +1 more source

Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]

, 2010
In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M., Brown, Brian Malcolm, Brown, B. Malcolm, Wagenhofer, Markus, Langer, Matthias, Wagenhofer, M., Tretter, C., Marletta, Marco, Tretter, Christine, Marletta, M., Tretter, Christiane   +10 more
core   +1 more source

Backpropagation and F-adjoint

, 2023
This paper presents a concise mathematical framework for investigating both feed-forward and backward process, during the training to learn model weights, of an artificial neural network (ANN).
Ahmed Boughammoura (15294187)
core   +1 more source

Space-time adaptive solution of inverse problems with the discrete adjoint method [PDF]

, 2010
Adaptivity in both space and time has become the norm for solving problems modeled by partial differential equations. The size of the discretized problem makes uniformly refined grids computationally prohibitive.
Adrian, Sandu, Alexe, Mihai
core   +1 more source

Wave Drag Reduction of SC(2)0410 Airfoil using New Developed Inviscid Compressible Adjoint Method

Journal of Applied Fluid Mechanics, 2020
A supercritical airfoil is geometrically optimized using the new developed adjoint compressible lattice Boltzmann method. Minimizing the drag coefficient and eliminating the shock wave on the supercritical airfoil surface are considered as the cost ...
R. Kamali-Moghadam, H. Jalali, A. Haghiri   +2 more
doaj  

Non‐Rigid Motion‐Compensated MR Multitasking for Free‐Breathing Low‐Dose Dynamic Contrast‐Enhanced MRI in the Abdomen

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To improve free‐breathing low‐dose quantitative dynamic contrast‐enhanced (DCE) MRI for imaging pancreatic ductal adenocarcinoma. Methods We introduced non‐rigid (NR) motion compensation (MoCo) into MR Multitasking using a novel “in‐subspace” formulation that directly applies motion fields to spatial feature maps (eigenimages ...
Lingceng Ma, Chaowei Wu, Lixia Wang, Hsu‐Lei Lee, Junzhou Chen, Zheyuan Hu, Yibin Xie, Stephen J. Pandol, Srinivas Gaddam, Debiao Li, Anthony G. Christodoulou   +10 more
wiley   +1 more source

Discrete and Continuous Adjoint-Based Aerostructural Wing Shape Optimization of a Business Jet

Fluids
This article presents single- and multi-disciplinary shape optimizations of a generic business jet wing at two transonic cruise flow conditions. The studies performed are based on two high-fidelity gradient-based optimization tools, assisted by the ...
Konstantinos Tsiakas, Xenofon Trompoukis, Varvara Asouti, Kyriakos Giannakoglou, Gilbert Rogé, Sarah Julisson, Ludovic Martin, Steven Kleinveld   +7 more
doaj   +1 more source