Linear and Nonlinear Rheology of Two Dimensional Polymers—a Brownian Dynamics Study

2008 ◽  
Author(s):  
Jun-ichi Takimoto ◽  
Yuko Ogawa ◽  
Albert Co ◽  
Gary L. Leal ◽  
Ralph H. Colby ◽  
...  
2018 ◽  
Vol 52 (4) ◽  
pp. 1569-1596 ◽  
Author(s):  
Xavier Antoine ◽  
Fengji Hou ◽  
Emmanuel Lorin

This paper is devoted to the analysis of convergence of Schwarz Waveform Relaxation (SWR) domain decomposition methods (DDM) for solving the stationary linear and nonlinear Schrödinger equations by the imaginary-time method. Although SWR are extensively used for numerically solving high-dimensional quantum and classical wave equations, the analysis of convergence and of the rate of convergence is still largely open for linear equations with variable coefficients and nonlinear equations. The aim of this paper is to tackle this problem for both the linear and nonlinear Schrödinger equations in the two-dimensional setting. By extending ideas and concepts presented earlier [X. Antoine and E. Lorin, Numer. Math. 137 (2017) 923–958] and by using pseudodifferential calculus, we prove the convergence and determine some approximate rates of convergence of the two-dimensional Classical SWR method for two subdomains with smooth boundary. Some numerical experiments are also proposed to validate the analysis.


2013 ◽  
Vol 52 ◽  
pp. 405-423
Author(s):  
Rong-Qing Sun ◽  
Min Zhang ◽  
Chao Wang ◽  
Xiao-Feng Yuan

Pramana ◽  
1999 ◽  
Vol 53 (1) ◽  
pp. 223-235 ◽  
Author(s):  
A K Sood ◽  
Ranjini Bandyopadhyay ◽  
Geetha Basappa

2001 ◽  
Vol 34 (8) ◽  
pp. 2579-2596 ◽  
Author(s):  
Richard J. Blackwell ◽  
Oliver G. Harlen ◽  
Tom C. B. McLeish

Nanoscale ◽  
2021 ◽  
Author(s):  
Yiduo Wang ◽  
Yingwei Wang ◽  
Yulan Dong ◽  
Li Zhou ◽  
Hao Wei ◽  
...  

To date, outstanding linear and nonlinear optical properties of tellurene, caused by multiple two-dimensional (2D) phases and optical anisotropy, have been attracted considerable interest for potential nanophotonics applications. In this...


1987 ◽  
Vol 35 (3) ◽  
pp. 1334-1344 ◽  
Author(s):  
P. Vasilopoulos ◽  
M. Charbonneau ◽  
C. Van Vliet

2020 ◽  
Vol 64 (5) ◽  
pp. 1045-1061 ◽  
Author(s):  
Takeshi Sato ◽  
Soroush Moghadam ◽  
Grace Tan ◽  
Ronald G. Larson

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