scholarly journals A Multi-Scale Method for Distributed Convex Optimization with Constraints

2022 ◽  
Author(s):  
Wei Ni ◽  
Xiaoli Wang
Keyword(s):  
Convex Optimization ◽  
Multi Scale ◽  
Scale Method ◽  
Distributed Convex Optimization

scholarly journals Asynchronous Newton-Raphson Consensus for Distributed Convex Optimization*

2012 ◽  
Vol 45 (26) ◽  
pp. 133-138 ◽  
Author(s):  
Filippo Zanella ◽  
Damiano Varagnolo ◽  
Angelo Cenedese ◽  
Gianluigi Pillonetto ◽  
Luca Schenato
Keyword(s):  
Convex Optimization ◽  
Newton Raphson ◽  
Distributed Convex Optimization

Wavelet Multi-Scale Solution for Deflection of Thin Rectangular Plates under Temperature

2012 ◽  
Vol 166-169 ◽  
pp. 2871-2875
Author(s):  
Yan Chang Wang ◽  
Ke Liang Ren ◽  
Yan Dong ◽  
Ming Guang Wu
Keyword(s):  
Differential Equations ◽  
Rectangular Plate ◽  
Thermal Environment ◽  
Operational Matrix ◽  
Rectangular Plates ◽  
Thin Rectangular Plate ◽  
Multi Scale ◽  
Scale Method ◽  
The Matrix ◽  
Operational Matrix Of Integration

To consider the deformation of thin rectangular plate under temperature. In this paper, the wavelet multi-scale method was used to solve the thin plate governing differential equations with four different initial or boundary conditions. An operational matrix of integration based on the wavelet was established and the procedure for applying the matrix to solve the differential equations was formulated, and got the deflection of thin rectangular plates under temperature. The result provides a theoretical reference for solving thin rectangular plate deflection in thermal environment using multi-scale approach.

Electrokinetic Research on the Dispersion Behavior of Nano-Ceria Particles in Concentrated Suspensions

2015 ◽  
Vol 645-646 ◽  
pp. 394-399
Author(s):  
Wei Gao ◽  
Qi Long Wei ◽  
Ling Ding ◽  
Xiao Yuan Li ◽  
Chao Wang ◽  
...  
Keyword(s):  
Zeta Potential ◽  
Rheological Properties ◽  
Concentrated Suspensions ◽  
Tem Analysis ◽  
Concentrated Suspension ◽  
Original Solution ◽  
Multi Scale ◽  
Scale Method ◽  
Dispersion Behavior ◽  
Significant Difference

A multi-scale method was developed, which utilized intrinsic relationships among zeta potential of particles, rheological properties of suspensions and particle size distribution (PSD), to analyze dispersion behavior of nanoparticles in concentrated suspensions. It was found that PSD of a kind of nanoceria particles by dynamic light scattering (DLS) method in solution A with concentration 5 wt% accorded well with that by direct TEM analysis, which meant the particles had been dispersed well. However, there had a significant difference when the concentration was increased to 20 wt%. When particles concentration increased from 5 wt% to 20 wt%, zeta potential in solution A changed from-150 mV to-100 mV, while zeta potential in solution B changed from-35mV to-45 mV. Variations of zeta potential of particles accorded well with rheological properties of suspensions too, from phenomenological models. When the suspensions composed by solution A and the nanoparticles with concentration about 20 wt% was diluted with its original solution to 5 wt%, the PSD of nanoceria could be measured indirectly, which accorded well with both that of a suspension prepared directly with near concentration and that from TEM images. Then a method to measure PSD of nanoparticles in concentrated suspension was brought forward.

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