scholarly journals A meshless Galerkin method for non-local diffusion using localized kernel bases

2018 ◽  
Vol 87 (313) ◽  
pp. 2233-2258 ◽  
Author(s):  
R. B. Lehoucq ◽  
F. J. Narcowich ◽  
S. T. Rowe ◽  
J. D. Ward
Keyword(s):  
Galerkin Method ◽  
Non Local ◽  
Local Diffusion ◽  
Meshless Galerkin Method

scholarly journals On the parabolic Harnack inequality for non-local diffusion equations

2019 ◽  
Vol 295 (3-4) ◽  
pp. 1751-1769 ◽  
Author(s):  
Dominik Dier ◽  
Jukka Kemppainen ◽  
Juhana Siljander ◽  
Rico Zacher
Keyword(s):  
Harnack Inequality ◽  
Diffusion Equations ◽  
Parabolic Harnack Inequality ◽  
Non Local ◽  
Local Diffusion

Parametric meshless Galerkin method

2005 ◽  
Vol 64 (8) ◽  
pp. 1111-1131 ◽  
Author(s):  
Hossein Hosseini-Toudeshky ◽  
Mehdi Musivand-Arzanfudi
Keyword(s):  
Galerkin Method ◽  
Meshless Galerkin Method

scholarly journals A non-local diffusion equation arising in terminally attached polymer chains

1990 ◽  
Vol 1 (4) ◽  
pp. 311-326 ◽  
Author(s):  
Xinfu Chen ◽  
Avner Friedman
Keyword(s):  
Field Theory ◽  
Diffusion Equation ◽  
Polymer Chain ◽  
Mean Field Theory ◽  
Mean Field ◽  
Polymer Melt ◽  
Polymer Chains ◽  
Number Density ◽  
Non Local ◽  
Local Diffusion

We consider a polymer melt in a domain Ω whereby each polymer chain is attached at one endpoint to a fixed surface S contained in ∂Ω. Denote by G(x, t;y) the normalized number density of all subchains from x to y of length t. Then, according to the selfconsistent mean field theory, G satisfies, for each y: Gt - Δ2G + σϕG = 0, where σ is a real parameter, and ϕ is a functional of G(·, ·; ·) both non-local and nonlinear. We establish the existence of G and C∞ regularity of ϕ, as a function of x.

scholarly journals A Galerkin method for distributed systems with non-local damping

2006 ◽  
Vol 43 (11-12) ◽  
pp. 3381-3400 ◽  
Author(s):  
Y. Lei ◽  
M.I. Friswell ◽  
S. Adhikari
Keyword(s):  
Distributed Systems ◽  
Galerkin Method ◽  
Non Local
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