Adaptive Barrier Update Strategies for Nonlinear Interior Methods

2009 ◽  
Vol 19 (4) ◽  
pp. 1674-1693 ◽  
Author(s):  
Jorge Nocedal ◽  
Andreas Wächter ◽  
Richard A. Waltz
Keyword(s):  
Interior Methods

Local path-following property of inexact interior methods in nonlinear programming

2011 ◽  
Vol 52 (1) ◽  
pp. 209-238 ◽  
Author(s):  
Paul Armand ◽  
Joël Benoist ◽  
Jean-Pierre Dussault
Keyword(s):  
Nonlinear Programming ◽  
Path Following ◽  
Interior Methods ◽  
Local Path

From global to local convergence of interior methods for nonlinear optimization

2013 ◽  
Vol 28 (5) ◽  
pp. 1051-1080 ◽  
Author(s):  
Paul Armand ◽  
Joël Benoist ◽  
Dominique Orban
Keyword(s):  
Nonlinear Optimization ◽  
Local Convergence ◽  
Interior Methods

scholarly journals Iterative Solution of Augmented Systems Arising in Interior Methods

2007 ◽  
Vol 18 (2) ◽  
pp. 666-690 ◽  
Author(s):  
Anders Forsgren ◽  
Philip E. Gill ◽  
Joshua D. Griffin
Keyword(s):  
Iterative Solution ◽  
Augmented Systems ◽  
Interior Methods

A controllable water transfer rate across a tandem carbon nanotube

2019 ◽  
Vol 33 (27) ◽  
pp. 1950324
Author(s):  
Xianwen Meng ◽  
Yuan Li ◽  
Ling Shen
Keyword(s):  
Molecular Dynamics ◽  
Carbon Nanotube ◽  
Molecular Dynamics Simulations ◽  
Transfer Rate ◽  
Water Transfer ◽  
Water Permeation ◽  
Interior Methods ◽  
Dynamics Simulations ◽  
Carbon Based

Water permeation across a carbon nanotube is important in carbon-based nanodevices. Water transfer rate is closely related to the radius of a carbon nanotube. It is hard to change water transfer rate by interior methods once the radius of the entrance of a carbon nanotube is chosen. In this paper, water transfer across a tandem carbon nanotube with a separation is investigated by molecular dynamics simulations. We find that water transfer rate experiences two different transfer behaviors: an increasing behavior and a decreasing behavior by changing the separation length. The result is important in designing a controllable carbon-based nanodevice.

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