Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation

2004 ◽  
Vol 52 (1) ◽  
pp. 27-49 ◽  
Author(s):  
N. Lahellec ◽  
F. Mazerolle ◽  
J.C. Michel
Keyword(s):  
Experimental Validation ◽  
Second Order ◽  
Order Estimate ◽  
Macroscopic Behavior

Definition and Experimental Validation of a Second-Order Thermal Model for Electrical Machines

2021 ◽  
pp. 1-1
Author(s):  
Eric Armando ◽  
Aldo Boglietti ◽  
Fabio Mandrile ◽  
Enrico Carpaneto ◽  
Sandro Rubino ◽  
...  
Keyword(s):  
Thermal Model ◽  
Experimental Validation ◽  
Second Order ◽  
Electrical Machines

scholarly journals A second order estimate for general complex Hessian equations

2016 ◽  
Vol 9 (7) ◽  
pp. 1693-1709 ◽  
Author(s):  
Duong Phong ◽  
Sebastien Picard ◽  
Xiangwen Zhang
Keyword(s):  
Second Order ◽  
Order Estimate ◽  
Hessian Equations ◽  
General Complex

Tensor of the second-order nonlinear susceptibility in asymmetrically strained silicon waveguides: analysis and experimental validation

2014 ◽  
Vol 39 (6) ◽  
pp. 1693 ◽  
Author(s):  
Matthew W. Puckett ◽  
Joseph S. T. Smalley ◽  
Maxim Abashin ◽  
Andrew Grieco ◽  
Yeshaiahu Fainman
Keyword(s):  
Experimental Validation ◽  
Second Order ◽  
Nonlinear Susceptibility ◽  
Strained Silicon ◽  
Silicon Waveguides

Uniform Second-Order Hybrid Schemes on Bakhvalov-Shishkin Mesh for Quasi-Linear Convection-Diffusion Problems

2013 ◽  
Vol 871 ◽  
pp. 135-140 ◽  
Author(s):  
Quan Zheng ◽  
Xue Zheng Li ◽  
Yu Feng Liu
Keyword(s):  
Shishkin Mesh ◽  
Second Order ◽  
Order Estimate ◽  
Central Difference ◽  
Hybrid Schemes ◽  
Central Difference Scheme ◽  
Convection Diffusion ◽  
Second Order Convergence ◽  
The Stability ◽  
Diffusion Problems

In this paper, we propose a class of hybrid difference schemes combining the central difference scheme and the midpoint upwind scheme on the Bakhvalov-Shishkin mesh for solving quasi-linear singularly perturbed convection-diffusion boundary value problems. Point-wise second-order convergence uniform in the perturbation is proved clearly by using the-stability. The numerical experiments support the schemes and the uniform second-order estimate.

A second-order estimate for blow-up solutions of elliptic equations

2011 ◽  
Vol 74 (6) ◽  
pp. 2342-2350 ◽  
Author(s):  
Shuibo Huang ◽  
Qiaoyu Tian ◽  
Shengzhi Zhang ◽  
Jinhua Xi
Keyword(s):  
Elliptic Equations ◽  
Blow Up ◽  
Second Order ◽  
Order Estimate

scholarly journals Hermitian metrics, (n-1,n-1) forms and Monge–Ampère equations

2019 ◽  
Vol 2019 (755) ◽  
pp. 67-101 ◽  
Author(s):  
Valentino Tosatti ◽  
Ben Weinkove
Keyword(s):  
Second Order ◽  
Order Estimate ◽  
Kahler Manifolds ◽  
Complex Manifolds ◽  
Smooth Solutions ◽  
Hermitian Metrics ◽  
Plurisubharmonic Functions ◽  
Hermitian Manifolds ◽  
Monge Ampere ◽  
Compact Complex Manifolds

AbstractWe show existence of unique smooth solutions to the Monge–Ampère equation for (n-1)-plurisubharmonic functions on Hermitian manifolds, generalizing previous work of the authors. As a consequence we obtain Calabi–Yau theorems for Gauduchon and strongly Gauduchon metrics on a class of non-Kähler manifolds: those satisfying the Jost–Yau condition known as Astheno–Kähler. Gauduchon conjectured in 1984 that a Calabi–Yau theorem for Gauduchon metrics holds on all compact complex manifolds. We discuss another Monge–Ampère equation, recently introduced by Popovici, and show that the full Gauduchon conjecture can be reduced to a second-order estimate of Hou–Ma–Wu type.

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